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1,803.00467 | Negacyclic codes over the local ring $\mathbb{Z}_4[v]/\langle
v^2+2v\rangle$ of oddly even length and their Gray images | Let $R=\mathbb{Z}_{4}[v]/\langle
v^2+2v\rangle=\mathbb{Z}_{4}+v\mathbb{Z}_{4}$ ($v^2=2v$) and $n$ be an odd
positive integer. Then $R$ is a local non-principal ideal ring of $16$ elements
and there is a $\mathbb{Z}_{4}$-linear Gray map from $R$ onto
$\mathbb{Z}_{4}^2$ which preserves Lee distance and orthogonality. First, a
canonical form decomposition and the structure for any negacyclic code over $R$
of length $2n$ are presented. From this decomposition, a complete
classification of all these codes is obtained. Then the cardinality and the
dual code for each of these codes are given, and self-dual negacyclic codes
over $R$ of length $2n$ are presented. Moreover, all $23\cdot(4^p+5\cdot
2^p+9)^{\frac{2^{p}-2}{p}}$ negacyclic codes over $R$ of length $2M_p$ and all
$3\cdot(4^p+5\cdot 2^p+9)^{\frac{2^{p-1}-1}{p}}$ self-dual codes among them are
presented precisely, where $M_p=2^p-1$ is a Mersenne prime. Finally, $36$ new
and good self-dual $2$-quasi-twisted linear codes over $\mathbb{Z}_4$ with
basic parameters $(28,2^{28}, d_L=8,d_E=12)$ and of type $2^{14}4^7$ and basic
parameters $(28,2^{28}, d_L=6,d_E=12)$ and of type $2^{16}4^6$ which are Gray
images of self-dual negacyclic codes over $R$ of length $14$ are listed.
| cs.IT math.IT | let rmathbbz_4vlangle v22vranglemathbbz_4vmathbbz_4 v22v and n be an odd positive integer then r is a local nonprincipal ideal ring of 16 elements and there is a mathbbz_4linear gray map from r onto mathbbz_42 which preserves lee distance and orthogonality first a canonical form decomposition and the structure for any negacyclic code over r of length 2n are presented from this decomposition a complete classification of all these codes is obtained then the cardinality and the dual code for each of these codes are given and selfdual negacyclic codes over r of length 2n are presented moreover all 23cdot4p5cdot 2p9frac2p2p negacyclic codes over r of length 2m_p and all 3cdot4p5cdot 2p9frac2p11p selfdual codes among them are presented precisely where m_p2p1 is a mersenne prime finally 36 new and good selfdual 2quasitwisted linear codes over mathbbz_4 with basic parameters 28228 d_l8d_e12 and of type 21447 and basic parameters 28228 d_l6d_e12 and of type 21646 which are gray images of selfdual negacyclic codes over r of length 14 are listed | [['let', 'rmathbbz_4vlangle', 'v22vranglemathbbz_4vmathbbz_4', 'v22v', 'and', 'n', 'be', 'an', 'odd', 'positive', 'integer', 'then', 'r', 'is', 'a', 'local', 'nonprincipal', 'ideal', 'ring', 'of', '16', 'elements', 'and', 'there', 'is', 'a', 'mathbbz_4linear', 'gray', 'map', 'from', 'r', 'onto', 'mathbbz_42', 'which', 'preserves', 'lee', 'distance', 'and', 'orthogonality', 'first', 'a', 'canonical', 'form', 'decomposition', 'and', 'the', 'structure', 'for', 'any', 'negacyclic', 'code', 'over', 'r', 'of', 'length', '2n', 'are', 'presented', 'from', 'this', 'decomposition', 'a', 'complete', 'classification', 'of', 'all', 'these', 'codes', 'is', 'obtained', 'then', 'the', 'cardinality', 'and', 'the', 'dual', 'code', 'for', 'each', 'of', 'these', 'codes', 'are', 'given', 'and', 'selfdual', 'negacyclic', 'codes', 'over', 'r', 'of', 'length', '2n', 'are', 'presented', 'moreover', 'all', '23cdot4p5cdot', '2p9frac2p2p', 'negacyclic', 'codes', 'over', 'r', 'of', 'length', '2m_p', 'and', 'all', '3cdot4p5cdot', '2p9frac2p11p', 'selfdual', 'codes', 'among', 'them', 'are', 'presented', 'precisely', 'where', 'm_p2p1', 'is', 'a', 'mersenne', 'prime', 'finally', '36', 'new', 'and', 'good', 'selfdual', '2quasitwisted', 'linear', 'codes', 'over', 'mathbbz_4', 'with', 'basic', 'parameters', '28228', 'd_l8d_e12', 'and', 'of', 'type', '21447', 'and', 'basic', 'parameters', '28228', 'd_l6d_e12', 'and', 'of', 'type', '21646', 'which', 'are', 'gray', 'images', 'of', 'selfdual', 'negacyclic', 'codes', 'over', 'r', 'of', 'length', '14', 'are', 'listed']] | [-0.20989227712166725, 0.10999417418873458, -0.023775800772702062, 0.049721816677248586, -0.0042225557521281655, -0.2399908045386982, -0.0633273660421174, 0.3519356138109914, -0.34267378001418336, -0.23109852390006086, 0.13133339344567022, -0.26827835375504777, -0.12729798380242327, 0.2226912005008846, -0.04036091271917404, 0.030765901167032043, 0.03419428475244304, 0.10695647665712711, -0.15765721360468213, -0.3696124920396393, 0.3151590613006855, 0.08386432414023293, 0.15500098408896798, -0.028396125916786343, 0.08526579260715092, 0.029715354276808683, -0.0643176195714376, 0.017697427198229147, -0.20170514022820438, 0.09330277462237027, 0.27463627519049, 0.17414847155724536, 0.14777420361415292, -0.31021606509530586, -0.16807334410760627, 0.12783431610638363, 0.13318761550691843, 0.079793012566442, 0.013300085259872852, -0.1608997790469782, 0.22486373268205453, -0.177147833766132, -0.014397187849247692, -9.517571333771115e-05, 0.13582270932985185, 0.06843743908114189, -0.3212216278551214, -0.04322857496371826, 0.07186795914829369, 0.16208035987339273, -0.04749287088518802, -0.21510397460749558, -0.014812412277012077, 0.10483368615996068, -0.052643499343304444, 0.058644863643486124, -0.01329138617506189, -0.022732281241726302, -0.10329257503818005, 0.34448335882251624, -0.021530784169652973, -0.19092343383644467, 0.11626513981081496, -0.077628485907782, -0.061276858632409614, 0.15156179388972701, 0.12131448112896934, 0.13832677356800102, -0.04679137953157716, 0.16410019607876816, -0.14317790046951037, 0.17914492678242605, 0.13727601119841368, 0.08961782879843716, 0.21414715811819923, 0.026446259215116404, 0.007345442660345653, 0.13856622531303878, -0.057764291578081946, -0.017383348869024127, -0.36447523820479183, -0.1491664205030199, -0.1515726925248576, 0.0874827966319138, -0.1640881049476251, -0.17211973681947254, 0.4169860981599064, 0.06086362712702017, 0.1316894829082025, 0.1259541807785655, 0.18601581125847058, -0.026762588547900416, 0.12379946269168957, 0.18225442244407616, 0.0683673385558465, 0.196780042645725, -0.10223767998403198, -0.16056805185122502, -0.045922735952679684, 0.16893692517850473] |
1,803.00468 | Energy Disaggregation for SMEs using Recurrence Quantification Analysis | Energy disaggregation determines the energy consumption of individual
appliances from the total demand signal, which is recorded using a single
monitoring device. There are varied approaches to this problem, which are
applied to different settings. Here, we focus on small and medium enterprises
(SMEs) and explore useful applications for energy disaggregation from the
perspective of SMEs. More precisely, we use recurrence quantification analysis
(RQA) of the aggregate and the individual device signals to create a
two-dimensional map, which is an outlined region in a reduced information space
that corresponds to 'normal' energy demand. Then, this map is used to monitor
and control future energy consumption within the example business so to improve
their energy efficiency practices. In particular, our proposed method is shown
to detect when an appliance may be faulty and if an unexpected, additional
device is in use.
| eess.SP | energy disaggregation determines the energy consumption of individual appliances from the total demand signal which is recorded using a single monitoring device there are varied approaches to this problem which are applied to different settings here we focus on small and medium enterprises smes and explore useful applications for energy disaggregation from the perspective of smes more precisely we use recurrence quantification analysis rqa of the aggregate and the individual device signals to create a twodimensional map which is an outlined region in a reduced information space that corresponds to normal energy demand then this map is used to monitor and control future energy consumption within the example business so to improve their energy efficiency practices in particular our proposed method is shown to detect when an appliance may be faulty and if an unexpected additional device is in use | [['energy', 'disaggregation', 'determines', 'the', 'energy', 'consumption', 'of', 'individual', 'appliances', 'from', 'the', 'total', 'demand', 'signal', 'which', 'is', 'recorded', 'using', 'a', 'single', 'monitoring', 'device', 'there', 'are', 'varied', 'approaches', 'to', 'this', 'problem', 'which', 'are', 'applied', 'to', 'different', 'settings', 'here', 'we', 'focus', 'on', 'small', 'and', 'medium', 'enterprises', 'smes', 'and', 'explore', 'useful', 'applications', 'for', 'energy', 'disaggregation', 'from', 'the', 'perspective', 'of', 'smes', 'more', 'precisely', 'we', 'use', 'recurrence', 'quantification', 'analysis', 'rqa', 'of', 'the', 'aggregate', 'and', 'the', 'individual', 'device', 'signals', 'to', 'create', 'a', 'twodimensional', 'map', 'which', 'is', 'an', 'outlined', 'region', 'in', 'a', 'reduced', 'information', 'space', 'that', 'corresponds', 'to', 'normal', 'energy', 'demand', 'then', 'this', 'map', 'is', 'used', 'to', 'monitor', 'and', 'control', 'future', 'energy', 'consumption', 'within', 'the', 'example', 'business', 'so', 'to', 'improve', 'their', 'energy', 'efficiency', 'practices', 'in', 'particular', 'our', 'proposed', 'method', 'is', 'shown', 'to', 'detect', 'when', 'an', 'appliance', 'may', 'be', 'faulty', 'and', 'if', 'an', 'unexpected', 'additional', 'device', 'is', 'in', 'use']] | [-0.07650965680222725, 0.06473823618757056, -0.07119148456757622, 0.07196985573973506, -0.08853684619202146, -0.14211126670707017, 0.06818067834246903, 0.39569908300680773, -0.2984097560069391, -0.3498383085941896, 0.10563787167609137, -0.28147245159572254, -0.11411094254082335, 0.2330737989661949, -0.11858234470398332, 0.037487851474101525, 0.04585512999744554, 0.052891822797911506, -4.575962167499321e-05, -0.2222976101695427, 0.26654578511536653, 0.09278058261344475, 0.3496856671957565, 0.06789204226141529, 0.09511415482931106, -0.009479526759657476, -0.02386432268457221, 0.011751095504691226, -0.10691935092415536, 0.14794797479823632, 0.3256439266659852, 0.15266143375941152, 0.302619708369353, -0.45186955388635397, -0.208180182932743, 0.1535557644375201, 0.11565383319934232, 0.06049328730025861, -0.017535783064106778, -0.24200571899169257, 0.09000543782479196, -0.20136726100213959, -0.10374259672327234, -0.09960259262339345, 0.01019380636114095, 0.039598134422807824, -0.27412570424910104, 0.017910610272416045, -0.014630990332807414, 0.044222740150455915, -0.06621949973715735, -0.05837906236494226, -0.022141248139087112, 0.17893283537393603, 0.04006075538927689, -0.004720596989916105, 0.1978563629329853, -0.11967151580112322, -0.07551042273906725, 0.369722440165268, -0.0002804121750939105, -0.19444322855644194, 0.1692555563707304, -0.0789660472090223, -0.11840950255947454, 0.10956185764100934, 0.23807861026642577, 0.07029414777477672, -0.21106904259369394, 0.014558537917660682, 0.03401501795410045, 0.21111713824793696, 0.04424717283441818, 0.021190153838168562, 0.18864650767063723, 0.21852180830402565, 0.12594896155808652, 0.14358938182620998, -0.09435322203374069, -0.043868101313377594, -0.24663256344543438, -0.15534744813339785, -0.17383842089080384, 0.05035113466687367, -0.0403724622275539, -0.10481473267406857, 0.3972262820195673, 0.19444748157651962, 0.15385364888435496, -0.0035548233526891894, 0.34537474417260716, 0.13490505761749644, 0.07177790422491463, 0.078625786772214, 0.1986612273114068, 0.022515464707144668, 0.17111258713328945, -0.1878255844182734, 0.05161056149518117, -0.0415640522459788] |
1,803.00469 | Zebra-RFO - A Spectrum Repository for the Masses | TV White Spaces has recently been in the interest of the networking community
as an alternative to alleviate the spectrum crunch, incentivizing the need to
understand the dynamics of congestion of the occupied spectrum and the
quantification of the free spectrum. In this respect, many regulatory
organizations may provide references for the legal allocation of the spectrum
and therefore allow primary and secondary users to plan their deployments. In
this article, we present the motivations and challenges to collect spectrum
measurements as a global challenge. We discuss a prototype to massively collect
spectrum footprints at low-cost to make it available to communities.
| cs.CY | tv white spaces has recently been in the interest of the networking community as an alternative to alleviate the spectrum crunch incentivizing the need to understand the dynamics of congestion of the occupied spectrum and the quantification of the free spectrum in this respect many regulatory organizations may provide references for the legal allocation of the spectrum and therefore allow primary and secondary users to plan their deployments in this article we present the motivations and challenges to collect spectrum measurements as a global challenge we discuss a prototype to massively collect spectrum footprints at lowcost to make it available to communities | [['tv', 'white', 'spaces', 'has', 'recently', 'been', 'in', 'the', 'interest', 'of', 'the', 'networking', 'community', 'as', 'an', 'alternative', 'to', 'alleviate', 'the', 'spectrum', 'crunch', 'incentivizing', 'the', 'need', 'to', 'understand', 'the', 'dynamics', 'of', 'congestion', 'of', 'the', 'occupied', 'spectrum', 'and', 'the', 'quantification', 'of', 'the', 'free', 'spectrum', 'in', 'this', 'respect', 'many', 'regulatory', 'organizations', 'may', 'provide', 'references', 'for', 'the', 'legal', 'allocation', 'of', 'the', 'spectrum', 'and', 'therefore', 'allow', 'primary', 'and', 'secondary', 'users', 'to', 'plan', 'their', 'deployments', 'in', 'this', 'article', 'we', 'present', 'the', 'motivations', 'and', 'challenges', 'to', 'collect', 'spectrum', 'measurements', 'as', 'a', 'global', 'challenge', 'we', 'discuss', 'a', 'prototype', 'to', 'massively', 'collect', 'spectrum', 'footprints', 'at', 'lowcost', 'to', 'make', 'it', 'available', 'to', 'communities']] | [-0.12353857508495304, 0.039709188040789885, -0.05766675100141369, 0.06928450742727328, -0.13526444949721003, -0.10396981958968123, 0.061132407808840716, 0.39240986712998255, -0.2843365332330851, -0.3307488457848747, 0.13605798640420808, -0.30735155261651265, -0.12685558984715803, 0.14472098451326876, -0.13145640687834398, 0.03376963911760671, 0.05415971051244175, 0.04493823630122386, 0.026420218057419155, -0.21497035362556868, 0.31581930121562135, 0.15729732822407694, 0.3053694906571478, 0.0901778870075028, 0.017204753383446264, -0.043749794363975525, -0.07624153958921157, -0.04823329348993652, -0.1247239694200164, 0.18507265071293302, 0.3506841736608276, 0.2181901084327632, 0.3429082376727213, -0.4377614248397888, -0.22797241445411653, 0.1402287063754949, 0.16027445385378658, 0.06826046866583912, -0.04732536068003552, -0.2841307127154341, 0.09178590159132785, -0.24867978585226572, -0.1409914234023103, -0.08849418285649781, -0.0006206597192395551, 0.005053366201144515, -0.22298225495672108, -0.02523444518994759, -0.036929041900507664, 0.021957200951874256, -0.05379933176571321, -0.0757945375448531, 0.003587743545900665, 0.24231995869537487, 0.08482587506410245, -0.03737080055654195, 0.09591100693625562, -0.13568034656254538, -0.11724062201420904, 0.417115272091834, 0.002877743401126388, -0.13572930694927515, 0.17877158288291528, -0.10502782540282293, -0.17860194695565632, 0.09919050450473293, 0.211056643448697, 0.04511540851500981, -0.1964683708342194, 0.04671087173754167, 0.03494209987020083, 0.15412347794820866, 0.03592401553931482, 0.08204385864676214, 0.22186906639413506, 0.1916604435559837, 0.13336930497419364, 0.1122859510930949, -0.06527146740015322, -0.06235216991854923, -0.22812758491479554, -0.13682024278130164, -0.15142914871046065, 0.028763067173570685, 0.011405298424149663, -0.17576531893756314, 0.4170461888288093, 0.17784340488473319, 0.16352617984418483, 0.02602373981190955, 0.3441536409835167, 0.021285353955474918, 0.07540749171155267, 0.057803919000149355, 0.18169739656606873, 0.0653954710281801, 0.22563014875220902, -0.17700526984773723, 0.03251190432438664, -0.056684609182982466] |
1,803.0047 | The conditional entropy power inequality for quantum additive noise
channels | We prove the quantum conditional Entropy Power Inequality for quantum
additive noise channels. This inequality lower bounds the quantum conditional
entropy of the output of an additive noise channel in terms of the quantum
conditional entropies of the input state and the noise when they are
conditionally independent given the memory. We also show that this conditional
Entropy Power Inequality is optimal in the sense that we can achieve equality
asymptotically by choosing a suitable sequence of Gaussian input states. We
apply the conditional Entropy Power Inequality to find an array of
information-theoretic inequalities for conditional entropies which are the
analogues of inequalities which have already been established in the
unconditioned setting. Furthermore, we give a simple proof of the convergence
rate of the quantum Ornstein-Uhlenbeck semigroup based on Entropy Power
Inequalities.
| quant-ph cs.IT math-ph math.IT math.MP | we prove the quantum conditional entropy power inequality for quantum additive noise channels this inequality lower bounds the quantum conditional entropy of the output of an additive noise channel in terms of the quantum conditional entropies of the input state and the noise when they are conditionally independent given the memory we also show that this conditional entropy power inequality is optimal in the sense that we can achieve equality asymptotically by choosing a suitable sequence of gaussian input states we apply the conditional entropy power inequality to find an array of informationtheoretic inequalities for conditional entropies which are the analogues of inequalities which have already been established in the unconditioned setting furthermore we give a simple proof of the convergence rate of the quantum ornsteinuhlenbeck semigroup based on entropy power inequalities | [['we', 'prove', 'the', 'quantum', 'conditional', 'entropy', 'power', 'inequality', 'for', 'quantum', 'additive', 'noise', 'channels', 'this', 'inequality', 'lower', 'bounds', 'the', 'quantum', 'conditional', 'entropy', 'of', 'the', 'output', 'of', 'an', 'additive', 'noise', 'channel', 'in', 'terms', 'of', 'the', 'quantum', 'conditional', 'entropies', 'of', 'the', 'input', 'state', 'and', 'the', 'noise', 'when', 'they', 'are', 'conditionally', 'independent', 'given', 'the', 'memory', 'we', 'also', 'show', 'that', 'this', 'conditional', 'entropy', 'power', 'inequality', 'is', 'optimal', 'in', 'the', 'sense', 'that', 'we', 'can', 'achieve', 'equality', 'asymptotically', 'by', 'choosing', 'a', 'suitable', 'sequence', 'of', 'gaussian', 'input', 'states', 'we', 'apply', 'the', 'conditional', 'entropy', 'power', 'inequality', 'to', 'find', 'an', 'array', 'of', 'informationtheoretic', 'inequalities', 'for', 'conditional', 'entropies', 'which', 'are', 'the', 'analogues', 'of', 'inequalities', 'which', 'have', 'already', 'been', 'established', 'in', 'the', 'unconditioned', 'setting', 'furthermore', 'we', 'give', 'a', 'simple', 'proof', 'of', 'the', 'convergence', 'rate', 'of', 'the', 'quantum', 'ornsteinuhlenbeck', 'semigroup', 'based', 'on', 'entropy', 'power', 'inequalities']] | [-0.09588383841169575, 0.14446101080697685, -0.10778225598518144, 0.11867281578209561, 0.005155934786395819, -0.1947352366140959, 0.0654398963714343, 0.3078300279678043, -0.29911706061807997, -0.2306239294121042, 0.10313718635183194, -0.2826705560243378, -0.1310577754453389, 0.2321366593276969, -0.15896454308125557, 0.1582868733614415, 0.020476814673395093, 0.10417640415217841, -0.048972370117994476, -0.31271602848375385, 0.31164115339969145, 0.04211975049111061, 0.2994094358185645, 0.033930007996263375, 0.13370195811501506, -0.011758451928582155, 0.021256495372984897, 0.006868425202838173, -0.18183196476137242, 0.1627733312546325, 0.2540404560453625, 0.1721568707294919, 0.3018459628801793, -0.39448934042064304, -0.19804253251023704, 0.16784839843272825, 0.0692130368252313, 0.09423673028570854, -0.0242417859461222, -0.2832201148496207, 0.05140615539858118, -0.18062605729915737, -0.041879854651845315, -0.10196886531246657, -0.025448285057350542, 0.047772083002862266, -0.3518939174739926, 0.14512582600031182, 0.16743798993676054, 0.023826423061440106, -0.020369810697791927, -0.09052707464434206, 0.020639519087236487, 0.07885704889375836, -2.8573375223486714e-05, -0.046003155851256895, 0.1345862303331325, -0.08339823800435459, -0.16902250078397407, 0.20335786345337206, -0.058413225928123924, -0.2563675121037346, 0.07003676626614337, -0.1370180441158344, -0.15257416935778703, 0.02934709780101636, 0.14757361649323933, 0.08709078867369416, -0.148464241483673, 0.12261508401636755, -0.05422750437829756, 0.16207790968121227, 0.06937430002444396, 0.16238064445188324, 0.10822108376658324, 0.03097055982057513, 0.1481571540882049, 0.2566458293744786, -0.05783137118873349, -0.15722997870673708, -0.35207476334251236, -0.2200871066747685, -0.2601960854195623, 0.11757233406586404, -0.17829605375730104, -0.17034216452950865, 0.325907426208935, 0.12141002983800277, 0.15815669989608455, 0.1521244343091508, 0.2836145705995009, 0.23148599057634728, -0.035940375648241374, 0.11086184238648099, 0.2063252745323222, 0.2143033616699871, 0.046542233932114235, -0.17049565487082652, 0.12313665719491175, 0.1083833805892165] |
1,803.00471 | Making intersections safer with I2V communication | Intersections are hazardous places. Threats arise from interactions among
pedestrians, bicycles and vehicles, more complicated vehicle trajectories in
the absence of lane markings, phases that prevent determining who has the right
of way, invisible vehicle approaches, vehicle obstructions, and illegal
movements. These challenges are not fully addressed by the "road diet" and road
redesign prescribed in Vision Zero plans, nor will they be completely overcome
by autonomous vehicles with their many sensors and tireless attention to
surroundings. Accidents can also occur because drivers, cyclists and
pedestrians do not have the information they need to avoid wrong decisions. In
these cases, the missing information can be computed and broadcast by an
intelligent intersection. The information gives the current full signal phase,
an estimate of the time when the phase will change, and the occupancy of the
blind spots of the driver or autonomous vehicle. The paper develops a design of
the intelligent intersection, motivated by the analysis of an accident at an
intersection in Tempe, AZ, between an automated Uber Volvo and a manual Honda
CRV and culminates in a proposal for an intelligent intersection
infrastructure. The intelligent intersection also serves as a software-enabled
version of the `protected intersection' design to improve the passage of
cyclists and pedestrians through an intersection.
| cs.CY cs.RO | intersections are hazardous places threats arise from interactions among pedestrians bicycles and vehicles more complicated vehicle trajectories in the absence of lane markings phases that prevent determining who has the right of way invisible vehicle approaches vehicle obstructions and illegal movements these challenges are not fully addressed by the road diet and road redesign prescribed in vision zero plans nor will they be completely overcome by autonomous vehicles with their many sensors and tireless attention to surroundings accidents can also occur because drivers cyclists and pedestrians do not have the information they need to avoid wrong decisions in these cases the missing information can be computed and broadcast by an intelligent intersection the information gives the current full signal phase an estimate of the time when the phase will change and the occupancy of the blind spots of the driver or autonomous vehicle the paper develops a design of the intelligent intersection motivated by the analysis of an accident at an intersection in tempe az between an automated uber volvo and a manual honda crv and culminates in a proposal for an intelligent intersection infrastructure the intelligent intersection also serves as a softwareenabled version of the protected intersection design to improve the passage of cyclists and pedestrians through an intersection | [['intersections', 'are', 'hazardous', 'places', 'threats', 'arise', 'from', 'interactions', 'among', 'pedestrians', 'bicycles', 'and', 'vehicles', 'more', 'complicated', 'vehicle', 'trajectories', 'in', 'the', 'absence', 'of', 'lane', 'markings', 'phases', 'that', 'prevent', 'determining', 'who', 'has', 'the', 'right', 'of', 'way', 'invisible', 'vehicle', 'approaches', 'vehicle', 'obstructions', 'and', 'illegal', 'movements', 'these', 'challenges', 'are', 'not', 'fully', 'addressed', 'by', 'the', 'road', 'diet', 'and', 'road', 'redesign', 'prescribed', 'in', 'vision', 'zero', 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1,803.00472 | Multimode: An R Package for Mode Assessment | In several applied fields, multimodality assessment is a crucial task as a
previous exploratory tool or for determining the suitability of certain
distributions. The goal of this paper is to present the utilities of the R
package multimode, which collects different exploratory and testing
nonparametric approaches for determining the number of modes and their
estimated location. Specifically, some graphical tools, allowing for the
identification of mode patterns, based on the kernel density estimation are
provided (SiZer map, mode tree or mode forest). Several formal testing
procedures for determining the number of modes are described in this paper and
implemented in the multimode package, including methods based on the ideas of
the critical bandwidth, the excess mass or using a combination of both. This
package also includes a function for estimating the modes locations and
different classical data examples that have been considered in mode testing
literature.
| stat.CO | in several applied fields multimodality assessment is a crucial task as a previous exploratory tool or for determining the suitability of certain distributions the goal of this paper is to present the utilities of the r package multimode which collects different exploratory and testing nonparametric approaches for determining the number of modes and their estimated location specifically some graphical tools allowing for the identification of mode patterns based on the kernel density estimation are provided sizer map mode tree or mode forest several formal testing procedures for determining the number of modes are described in this paper and implemented in the multimode package including methods based on the ideas of the critical bandwidth the excess mass or using a combination of both this package also includes a function for estimating the modes locations and different classical data examples that have been considered in mode testing literature | [['in', 'several', 'applied', 'fields', 'multimodality', 'assessment', 'is', 'a', 'crucial', 'task', 'as', 'a', 'previous', 'exploratory', 'tool', 'or', 'for', 'determining', 'the', 'suitability', 'of', 'certain', 'distributions', 'the', 'goal', 'of', 'this', 'paper', 'is', 'to', 'present', 'the', 'utilities', 'of', 'the', 'r', 'package', 'multimode', 'which', 'collects', 'different', 'exploratory', 'and', 'testing', 'nonparametric', 'approaches', 'for', 'determining', 'the', 'number', 'of', 'modes', 'and', 'their', 'estimated', 'location', 'specifically', 'some', 'graphical', 'tools', 'allowing', 'for', 'the', 'identification', 'of', 'mode', 'patterns', 'based', 'on', 'the', 'kernel', 'density', 'estimation', 'are', 'provided', 'sizer', 'map', 'mode', 'tree', 'or', 'mode', 'forest', 'several', 'formal', 'testing', 'procedures', 'for', 'determining', 'the', 'number', 'of', 'modes', 'are', 'described', 'in', 'this', 'paper', 'and', 'implemented', 'in', 'the', 'multimode', 'package', 'including', 'methods', 'based', 'on', 'the', 'ideas', 'of', 'the', 'critical', 'bandwidth', 'the', 'excess', 'mass', 'or', 'using', 'a', 'combination', 'of', 'both', 'this', 'package', 'also', 'includes', 'a', 'function', 'for', 'estimating', 'the', 'modes', 'locations', 'and', 'different', 'classical', 'data', 'examples', 'that', 'have', 'been', 'considered', 'in', 'mode', 'testing', 'literature']] | [-0.087310390148634, 0.046072351701608664, -0.08195521522389904, 0.06523364012238046, -0.07837373685499985, -0.13776412789314374, 0.040661589298333516, 0.3644129417530478, -0.22068905958599627, -0.3145095869110999, 0.15775571210542694, -0.23577757160919272, -0.12201306007464403, 0.22973488862084046, -0.02645305004481175, 0.11267186531299496, 0.0659671120505514, 0.012933078464375783, -0.011356409588587081, -0.20042023715987317, 0.3251275241738568, 0.07512971399390228, 0.3247451664726824, 0.008833052328953596, 0.06430582726160575, 0.06552840196782697, -0.11463914961834783, 0.00942779393318071, -0.13449000481745166, 0.1315941195775538, 0.2807350748119723, 0.1874116693339502, 0.32703556602323197, -0.38382107189582176, -0.2097993622061937, 0.10126994348654192, 0.16054929998840448, 0.08916935511172609, -0.04142618221501909, -0.24419615070705544, 0.06301230303177686, -0.15329305878967966, -0.10683989401409173, -0.07967762277168158, -0.009565087086329721, 0.01450749058021258, -0.30696627547787436, 0.03813868578446053, 0.0355551266374564, 0.11671404152062453, -0.02059688236586724, -0.15112319437799696, 0.02462534857706537, 0.15065030471185759, 0.048980850231999606, -0.008120750148831676, 0.13723248558450643, -0.13468592761448037, -0.11732948660987672, 0.346073350231227, -0.04213189947967456, -0.20530476554437246, 0.20018686620480292, -0.07270293629071228, -0.16857955984975379, 0.06874187865409337, 0.20683167306451153, 0.11622077030805897, -0.16683262919573344, 0.06243799656972629, 0.006945258136424045, 0.1419759525547493, 0.0424471619692057, 0.026957698842536095, 0.19226273243978925, 0.17834012144028324, -0.0015354738172067151, 0.1509523986494296, -0.12638358098505806, -0.045152089368768855, -0.29092293311777995, -0.15730418100289695, -0.17758202166471962, -0.09120272107546741, -0.07957052895504255, -0.1981370103201025, 0.45612454313580714, 0.15565728486080221, 0.15151705374392643, 0.05569033379019047, 0.31863178127789743, 0.10368166596880693, 0.053593918032089426, 0.06958466830100443, 0.1995723666649149, 0.11565467832157107, 0.05457411687948728, -0.18812903255855742, 0.06961895260889696, 0.020737575521781938] |
1,803.00473 | Full-Duplex Communications: Performance in Ultra-Dense Small-Cell
Wireless Networks | Theoretically, full-duplex (FD) communications can double the
spectral-efficiency (SE) of a wireless link if the problem of self-interference
(SI) is completely eliminated. Recent developments towards SI cancellation
techniques have allowed to realize the FD communications on low-power
transceivers, such as small-cell (SC) base stations. Consequently, the FD
technology is being considered as a key enabler of 5G and beyond networks. In
the context of 5G, FD communications have been initially investigated in a
single SC and then into multiple SC environments. Due to FD operations, a
single SC faces residual SI and intra-cell co-channel interference (CCI),
whereas multiple SCs face additional inter-cell CCI, which grows with the
number of neighboring cells. The surge of interference in the multi-cell
environment poses the question of the feasibility of FD communications. In this
article, we first review the FD communications in single and multiple SC
environments and then provide the state-of-the-art for the CCI mitigation
techniques, as well as FD feasibility studies in a multi-cell environment.
Further, through numerical simulations, the SE performance gain of the FD
communications in ultra-dense massive multiple input multiple-output enabled
millimeter wave SCs is presented. Finally, potential open research challenges
of multi-cell FD communications are highlighted.
| eess.SP | theoretically fullduplex fd communications can double the spectralefficiency se of a wireless link if the problem of selfinterference si is completely eliminated recent developments towards si cancellation techniques have allowed to realize the fd communications on lowpower transceivers such as smallcell sc base stations consequently the fd technology is being considered as a key enabler of 5g and beyond networks in the context of 5g fd communications have been initially investigated in a single sc and then into multiple sc environments due to fd operations a single sc faces residual si and intracell cochannel interference cci whereas multiple scs face additional intercell cci which grows with the number of neighboring cells the surge of interference in the multicell environment poses the question of the feasibility of fd communications in this article we first review the fd communications in single and multiple sc environments and then provide the stateoftheart for the cci mitigation techniques as well as fd feasibility studies in a multicell environment further through numerical simulations the se performance gain of the fd communications in ultradense massive multiple input multipleoutput enabled millimeter wave scs is presented finally potential open research challenges of multicell fd communications are highlighted | [['theoretically', 'fullduplex', 'fd', 'communications', 'can', 'double', 'the', 'spectralefficiency', 'se', 'of', 'a', 'wireless', 'link', 'if', 'the', 'problem', 'of', 'selfinterference', 'si', 'is', 'completely', 'eliminated', 'recent', 'developments', 'towards', 'si', 'cancellation', 'techniques', 'have', 'allowed', 'to', 'realize', 'the', 'fd', 'communications', 'on', 'lowpower', 'transceivers', 'such', 'as', 'smallcell', 'sc', 'base', 'stations', 'consequently', 'the', 'fd', 'technology', 'is', 'being', 'considered', 'as', 'a', 'key', 'enabler', 'of', '5g', 'and', 'beyond', 'networks', 'in', 'the', 'context', 'of', '5g', 'fd', 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1,803.00474 | Joint Inter-flow Network Coding and Opportunistic Routing in Multi-hop
Wireless Mesh Networks: A Comprehensive Survey | Network coding and opportunistic routing are two recognized innovative ideas
to improve the performance of wireless networks by utilizing the broadcast
nature of the wireless medium. In the last decade, there has been considerable
research on how to synergize inter-flow network coding and opportunistic
routing in a single joint protocol outperforming each in any scenario. This
paper explains the motivation behind the integration of these two techniques,
and highlights certain scenarios in which the joint approach may even degrade
the performance, emphasizing the fact that their synergistic effect cannot be
accomplished with a naive and perfunctory combination. This survey paper also
provides a comprehensive taxonomy of the joint protocols in terms of their
fundamental components and associated challenges, and compares existing joint
protocols. We also present concluding remarks along with an outline of future
research directions.
| cs.NI | network coding and opportunistic routing are two recognized innovative ideas to improve the performance of wireless networks by utilizing the broadcast nature of the wireless medium in the last decade there has been considerable research on how to synergize interflow network coding and opportunistic routing in a single joint protocol outperforming each in any scenario this paper explains the motivation behind the integration of these two techniques and highlights certain scenarios in which the joint approach may even degrade the performance emphasizing the fact that their synergistic effect cannot be accomplished with a naive and perfunctory combination this survey paper also provides a comprehensive taxonomy of the joint protocols in terms of their fundamental components and associated challenges and compares existing joint protocols we also present concluding remarks along with an outline of future research directions | [['network', 'coding', 'and', 'opportunistic', 'routing', 'are', 'two', 'recognized', 'innovative', 'ideas', 'to', 'improve', 'the', 'performance', 'of', 'wireless', 'networks', 'by', 'utilizing', 'the', 'broadcast', 'nature', 'of', 'the', 'wireless', 'medium', 'in', 'the', 'last', 'decade', 'there', 'has', 'been', 'considerable', 'research', 'on', 'how', 'to', 'synergize', 'interflow', 'network', 'coding', 'and', 'opportunistic', 'routing', 'in', 'a', 'single', 'joint', 'protocol', 'outperforming', 'each', 'in', 'any', 'scenario', 'this', 'paper', 'explains', 'the', 'motivation', 'behind', 'the', 'integration', 'of', 'these', 'two', 'techniques', 'and', 'highlights', 'certain', 'scenarios', 'in', 'which', 'the', 'joint', 'approach', 'may', 'even', 'degrade', 'the', 'performance', 'emphasizing', 'the', 'fact', 'that', 'their', 'synergistic', 'effect', 'can', 'not', 'be', 'accomplished', 'with', 'a', 'naive', 'and', 'perfunctory', 'combination', 'this', 'survey', 'paper', 'also', 'provides', 'a', 'comprehensive', 'taxonomy', 'of', 'the', 'joint', 'protocols', 'in', 'terms', 'of', 'their', 'fundamental', 'components', 'and', 'associated', 'challenges', 'and', 'compares', 'existing', 'joint', 'protocols', 'we', 'also', 'present', 'concluding', 'remarks', 'along', 'with', 'an', 'outline', 'of', 'future', 'research', 'directions']] | [-0.18475170696985288, 0.021047029396655873, -0.059691421007805494, 0.006068449336559559, -0.08213328495349763, -0.17820050025250028, 0.0733629661785561, 0.42416762767264443, -0.26937745741303387, -0.28366431520816726, 0.08998641789717478, -0.23046465141250053, -0.22165317019706007, 0.18569447601853062, -0.1627447243174878, 0.04603382283617763, 0.07303579551011433, -0.008529723751066375, -0.059777589652510565, -0.2790802038906917, 0.3236302424385382, 0.09979504824405278, 0.3641517688622222, 0.1058086862627852, 0.07054263349268994, 0.019411594246643304, -0.11326215980424933, -0.018494168438364066, -0.09547753244079522, 0.17250888308605355, 0.30439175307805083, 0.21494748476845124, 0.3261927423767582, -0.435369405514785, -0.2665269867904539, 0.09512533488798969, 0.20110830666079274, 0.09257442734873833, -0.045751622315907486, -0.2829642718739427, 0.08913947727206592, -0.22720396677779892, -0.06160071477579483, -0.040841034212469186, -0.05562990698088165, 0.04531796644594738, -0.20762210010285795, 0.00336791883030716, 0.04029858213964931, 0.033552412548693865, -0.03359332952961108, -0.11894693938559806, 0.0737904284802014, 0.17246129338452795, 0.06800579834970762, 0.023203888081224894, 0.09351259879903855, -0.13078590908196558, -0.2014769244225089, 0.35956068516430195, 0.003167153655612556, -0.16278975410896768, 0.16152326736504036, -0.028151951348714965, -0.18689021415903104, 0.07576911132799692, 0.1940521084683111, 0.06275753761016267, -0.17346447811251248, 0.029068361698007417, -0.004303374888552149, 0.12110881277285244, 0.0393561413477644, 0.09542197004014993, 0.1913465099531586, 0.22107332706261074, 0.0817998860444662, 0.10756565696971124, -0.07564140180079947, -0.10441465439261312, -0.23532161825628828, -0.12268543142755686, -0.15522996132048764, -0.009013764041770813, -0.0669183993888815, -0.07822507300862812, 0.4202426515195016, 0.18292057996082126, 0.15692955725418445, 0.032437350873726616, 0.3765258842086705, 0.016741560581718048, 0.04154583665582243, 0.10132595634149102, 0.24255815514679455, 0.07253937010762085, 0.16018217495629006, -0.15643390506271437, 0.10575767629949824, -0.02045977593571233] |
1,803.00475 | Extreme star formation in the Milky Way: Luminosity distributions of
young stellar objects in W49A and W51 | We have compared the star-formation properties of the W49A and W51 regions by
using far-infrared data from the Herschel infrared Galactic Plane Survey
(Hi-GAL) and 850-um observations from the James Clerk Maxwell Telescope (JCMT)
to obtain luminosities and masses, respectively, of associated compact sources.
The former are infrared luminosities from the catalogue of Elia et al. (2017),
while the latter are from the JCMT Plane survey source catalogue as well as
measurements from new data. The clump-mass distributions of the two regions are
found to be consistent with each other, as are the clump-formation efficiency
and star-formation efficiency analogues. However, the frequency distributions
of the luminosities of the young stellar objects are significantly different.
While the luminosity distribution in W51 is consistent with Galaxy-wide
samples, that of W49A is top-heavy. The differences are not dramatic, and are
concentrated in the central regions of W49A. However, they suggest that
physical conditions there, which are comparable in part to those in
extragalactic starbursts, are significantly affecting the star-formation
properties or evolution of the dense clumps in the region.
| astro-ph.SR | we have compared the starformation properties of the w49a and w51 regions by using farinfrared data from the herschel infrared galactic plane survey higal and 850um observations from the james clerk maxwell telescope jcmt to obtain luminosities and masses respectively of associated compact sources the former are infrared luminosities from the catalogue of elia et al 2017 while the latter are from the jcmt plane survey source catalogue as well as measurements from new data the clumpmass distributions of the two regions are found to be consistent with each other as are the clumpformation efficiency and starformation efficiency analogues however the frequency distributions of the luminosities of the young stellar objects are significantly different while the luminosity distribution in w51 is consistent with galaxywide samples that of w49a is topheavy the differences are not dramatic and are concentrated in the central regions of w49a however they suggest that physical conditions there which are comparable in part to those in extragalactic starbursts are significantly affecting the starformation properties or evolution of the dense clumps in the region | [['we', 'have', 'compared', 'the', 'starformation', 'properties', 'of', 'the', 'w49a', 'and', 'w51', 'regions', 'by', 'using', 'farinfrared', 'data', 'from', 'the', 'herschel', 'infrared', 'galactic', 'plane', 'survey', 'higal', 'and', '850um', 'observations', 'from', 'the', 'james', 'clerk', 'maxwell', 'telescope', 'jcmt', 'to', 'obtain', 'luminosities', 'and', 'masses', 'respectively', 'of', 'associated', 'compact', 'sources', 'the', 'former', 'are', 'infrared', 'luminosities', 'from', 'the', 'catalogue', 'of', 'elia', 'et', 'al', '2017', 'while', 'the', 'latter', 'are', 'from', 'the', 'jcmt', 'plane', 'survey', 'source', 'catalogue', 'as', 'well', 'as', 'measurements', 'from', 'new', 'data', 'the', 'clumpmass', 'distributions', 'of', 'the', 'two', 'regions', 'are', 'found', 'to', 'be', 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1,803.00476 | Hot non-equilibrium quasiparticles in transmon qubits | Non-equilibrium quasiparticle excitations degrade the performance of a
variety of superconducting circuits. Understanding the energy distribution of
these quasiparticles will yield insight into their generation mechanisms, the
limitations they impose on superconducting devices, and how to efficiently
mitigate quasiparticle-induced qubit decoherence. To probe this energy
distribution, we systematically correlate qubit relaxation and excitation with
charge-parity switches in an offset-charge-sensitive transmon qubit, and find
that quasiparticle-induced excitation events are the dominant mechanism behind
the residual excited-state population in our samples. By itself, the observed
quasiparticle distribution would limit $T_1$ to $\approx200~\mu\mathrm{s}$,
which indicates that quasiparticle loss in our devices is on equal footing with
all other loss mechanisms. Furthermore, the measured rate of
quasiparticle-induced excitation events is greater than that of relaxation
events, which signifies that the quasiparticles are more energetic than would
be predicted from a thermal distribution describing their apparent density.
| cond-mat.mes-hall cond-mat.supr-con quant-ph | nonequilibrium quasiparticle excitations degrade the performance of a variety of superconducting circuits understanding the energy distribution of these quasiparticles will yield insight into their generation mechanisms the limitations they impose on superconducting devices and how to efficiently mitigate quasiparticleinduced qubit decoherence to probe this energy distribution we systematically correlate qubit relaxation and excitation with chargeparity switches in an offsetchargesensitive transmon qubit and find that quasiparticleinduced excitation events are the dominant mechanism behind the residual excitedstate population in our samples by itself the observed quasiparticle distribution would limit t_1 to approx200mumathrms which indicates that quasiparticle loss in our devices is on equal footing with all other loss mechanisms furthermore the measured rate of quasiparticleinduced excitation events is greater than that of relaxation events which signifies that the quasiparticles are more energetic than would be predicted from a thermal distribution describing their apparent density | [['nonequilibrium', 'quasiparticle', 'excitations', 'degrade', 'the', 'performance', 'of', 'a', 'variety', 'of', 'superconducting', 'circuits', 'understanding', 'the', 'energy', 'distribution', 'of', 'these', 'quasiparticles', 'will', 'yield', 'insight', 'into', 'their', 'generation', 'mechanisms', 'the', 'limitations', 'they', 'impose', 'on', 'superconducting', 'devices', 'and', 'how', 'to', 'efficiently', 'mitigate', 'quasiparticleinduced', 'qubit', 'decoherence', 'to', 'probe', 'this', 'energy', 'distribution', 'we', 'systematically', 'correlate', 'qubit', 'relaxation', 'and', 'excitation', 'with', 'chargeparity', 'switches', 'in', 'an', 'offsetchargesensitive', 'transmon', 'qubit', 'and', 'find', 'that', 'quasiparticleinduced', 'excitation', 'events', 'are', 'the', 'dominant', 'mechanism', 'behind', 'the', 'residual', 'excitedstate', 'population', 'in', 'our', 'samples', 'by', 'itself', 'the', 'observed', 'quasiparticle', 'distribution', 'would', 'limit', 't_1', 'to', 'approx200mumathrms', 'which', 'indicates', 'that', 'quasiparticle', 'loss', 'in', 'our', 'devices', 'is', 'on', 'equal', 'footing', 'with', 'all', 'other', 'loss', 'mechanisms', 'furthermore', 'the', 'measured', 'rate', 'of', 'quasiparticleinduced', 'excitation', 'events', 'is', 'greater', 'than', 'that', 'of', 'relaxation', 'events', 'which', 'signifies', 'that', 'the', 'quasiparticles', 'are', 'more', 'energetic', 'than', 'would', 'be', 'predicted', 'from', 'a', 'thermal', 'distribution', 'describing', 'their', 'apparent', 'density']] | [-0.1421031199054726, 0.23855444517279725, -0.10623172641332661, 0.1194188639962314, -0.03284403912257403, -0.14075280075028007, 0.10108476922780807, 0.38652276400742785, -0.22442559001834264, -0.31513933801491345, -0.01760496976203285, -0.32668573723640293, -0.06367975930084607, 0.20575810511197362, -0.0034295075539765613, 0.009373774332925678, 0.047192250860721936, -0.026844753986889763, -0.06883187423310509, -0.2038656272326729, 0.2868459149430107, 0.08044157231758747, 0.34397484211118096, 0.06902958263776132, 0.046635021076404624, -0.04192676213902554, 0.06291657884139568, -0.059759319391118226, -0.09460466887872566, 0.0691023902634957, 0.23914681941470398, 0.050960444950032976, 0.21288051516748965, -0.4905871102852481, -0.24516808400367154, 0.09861362735391595, 0.18232724556333518, 0.133150079931199, -0.018488068227244574, -0.24243819235957095, 0.05176779059360602, -0.17008162638105984, -0.09105668635685496, -0.08292292816165303, 0.001428579825109669, 0.005874610133469104, -0.2212730883088495, 0.10722627420244472, 0.08050110088661314, -0.015549379675940144, -0.0436242658505632, -0.10303503493861561, -0.04797282629380269, 0.07038090029257416, 0.0338540938350239, 0.0063536427515958034, 0.2367920850133357, -0.11924064605596608, -0.12989787154697946, 0.3293895089732749, -0.028777159909493224, -0.13706246032545874, 0.17123928529077342, -0.17433102266513742, -0.05378345398847679, 0.16520114111065465, 0.14727388123657356, 0.07200469849028325, -0.1723516029039664, -0.03712354787317703, 0.05178876801842957, 0.18318217670644765, 0.02455311150157026, 0.19646931621079733, 0.2332665354362689, 0.17408691704539317, 0.06678113421824361, 0.11625562152268165, -0.11096520653227344, -0.08043107633212847, -0.25532978249913346, -0.11233937367796898, -0.2076057109262495, 0.12417932591301256, -0.024257843815160284, -0.12117287681571075, 0.40757770258933307, 0.18070788654565278, 0.19856138452887534, 0.005320872181826936, 0.2816059812304697, 0.15463940640745152, 0.1132022003210815, 0.05592589856158676, 0.2535707878547588, 0.11547623019432648, 0.042527253373659084, -0.34627294604101083, 0.10484106743907821, -0.045547744623451895] |
1,803.00477 | Markovian structure of the Volterra Heston model | We characterize the Markovian and affine structure of the Volterra Heston
model in terms of an infinite-dimensional adjusted forward process and specify
its state space. More precisely, we show that it satisfies a stochastic partial
differential equation and displays an exponentially-affine characteristic
functional. As an application, we deduce an existence and uniqueness result for
a Banach-space valued square-root process and provide its state space. This
leads to another representation of the Volterra Heston model together with its
Fourier-Laplace transform in terms of this possibly infinite system of affine
diffusions.
| math.PR | we characterize the markovian and affine structure of the volterra heston model in terms of an infinitedimensional adjusted forward process and specify its state space more precisely we show that it satisfies a stochastic partial differential equation and displays an exponentiallyaffine characteristic functional as an application we deduce an existence and uniqueness result for a banachspace valued squareroot process and provide its state space this leads to another representation of the volterra heston model together with its fourierlaplace transform in terms of this possibly infinite system of affine diffusions | [['we', 'characterize', 'the', 'markovian', 'and', 'affine', 'structure', 'of', 'the', 'volterra', 'heston', 'model', 'in', 'terms', 'of', 'an', 'infinitedimensional', 'adjusted', 'forward', 'process', 'and', 'specify', 'its', 'state', 'space', 'more', 'precisely', 'we', 'show', 'that', 'it', 'satisfies', 'a', 'stochastic', 'partial', 'differential', 'equation', 'and', 'displays', 'an', 'exponentiallyaffine', 'characteristic', 'functional', 'as', 'an', 'application', 'we', 'deduce', 'an', 'existence', 'and', 'uniqueness', 'result', 'for', 'a', 'banachspace', 'valued', 'squareroot', 'process', 'and', 'provide', 'its', 'state', 'space', 'this', 'leads', 'to', 'another', 'representation', 'of', 'the', 'volterra', 'heston', 'model', 'together', 'with', 'its', 'fourierlaplace', 'transform', 'in', 'terms', 'of', 'this', 'possibly', 'infinite', 'system', 'of', 'affine', 'diffusions']] | [-0.10243892395969438, 0.018476275336235467, -0.10749268843210302, 0.08219396690620587, -0.11891928404061632, -0.12074904983588071, 0.007811237913715145, 0.3488451054991773, -0.3777057599614967, -0.18136951077560132, 0.13723062564333138, -0.25021494330245664, -0.18875320071608506, 0.19404761010082439, -0.10018501127011735, 0.02690459106088383, 0.032344755748371506, 0.08797596298212408, -0.09374701884437607, -0.23311759247074157, 0.3416307362706654, 0.004246734611859376, 0.20632526295164347, -0.025651588337495923, 0.23348384204489941, 0.04809517348555594, -0.01640233196931976, -0.0583415725169206, -0.13483206066608877, 0.10288615628484298, 0.24057375691534783, 0.0853226178389212, 0.26536873237240466, -0.4082458785904402, -0.19454965111270378, 0.13694102345140313, 0.11019105652568131, 0.03791290685926056, 0.0030559941159563923, -0.32909365629099985, 0.005066241428721696, -0.19017960507930678, -0.21426885783016172, -0.12172404331663116, 0.00019303634656931865, 0.02292776747014035, -0.30878809539519186, 0.06310438790189271, 0.13322370541176165, 0.02152415630883876, -0.13296137821453158, -0.07173655056050682, -0.028823546567847105, 0.06636157021751966, 0.009076629830815364, 0.00811435481723906, 0.058016167329200966, -0.0980811319869562, -0.15349830061578276, 0.32207417757970025, -0.11370791704129343, -0.2704721619533798, 0.15857044699210252, -0.13238358235155995, -0.11049696767110039, 0.13754266434857113, 0.15369806700089778, 0.09744656260591, -0.17549490304306595, 0.16918660307353342, -0.07135641598142684, 0.11612682004819032, 0.009299527546814219, 0.02410402166424319, 0.06908276135535826, 0.15834778929870066, 0.14368250326846133, 0.17399614729220048, -0.012301230459177697, -0.1423013003871099, -0.3657628543865444, -0.22782349033778618, -0.09974428395931186, 0.0819201538582671, -0.13443126086365903, -0.23977135752581738, 0.3591898408062248, 0.10819954974365166, 0.20857644774316048, 0.0986311182615199, 0.19238740141736344, 0.2545356402816568, -0.05658811960496347, 0.019759744860824536, 0.09109718270007182, 0.19325817251493307, 0.12670103655810552, -0.21473649952200835, 0.09728106118960898, 0.11028340128144588] |
1,803.00478 | Pro-Hall $R$-groups and groups discriminated by the free pro-$p$ group | In this note we introduce pro-Hall $R$-groups as inverse limits of Hall
$R$-groups and show that for the binomial closure $S^{bin}$ of any ring $S$
discriminated by $\mathbb{Z}_p$, the free pro-Hall $S^{bin}$-group
$\mathbb{F}(A,S^{bin})$ is fully residually free pro-$p$. Furthermore, we prove
that any finite set of elements in $\mathbb{F}(A,S^{bin})$ defines a pro-$p$
subgroup and so an irreducible coordinate group over the free pro-$p$ group.
| math.GR | in this note we introduce prohall rgroups as inverse limits of hall rgroups and show that for the binomial closure sbin of any ring s discriminated by mathbbz_p the free prohall sbingroup mathbbfasbin is fully residually free prop furthermore we prove that any finite set of elements in mathbbfasbin defines a prop subgroup and so an irreducible coordinate group over the free prop group | [['in', 'this', 'note', 'we', 'introduce', 'prohall', 'rgroups', 'as', 'inverse', 'limits', 'of', 'hall', 'rgroups', 'and', 'show', 'that', 'for', 'the', 'binomial', 'closure', 'sbin', 'of', 'any', 'ring', 's', 'discriminated', 'by', 'mathbbz_p', 'the', 'free', 'prohall', 'sbingroup', 'mathbbfasbin', 'is', 'fully', 'residually', 'free', 'prop', 'furthermore', 'we', 'prove', 'that', 'any', 'finite', 'set', 'of', 'elements', 'in', 'mathbbfasbin', 'defines', 'a', 'prop', 'subgroup', 'and', 'so', 'an', 'irreducible', 'coordinate', 'group', 'over', 'the', 'free', 'prop', 'group']] | [-0.16703761765604902, 0.17793775927340652, -0.12812106026304437, 0.02325284153479954, -0.07848262232888875, -0.089829911180804, -0.017330208279449363, 0.3906116593179518, -0.4091986187508908, -0.17246283830047168, 0.06138235379154954, -0.22428681316046878, -0.08215687154182072, 0.22225501597858965, -0.14169353018675385, -0.07261717046514668, 0.032200684489939235, 0.1501914813857654, -0.06706986050442632, -0.22743331593991226, 0.38264644993790264, -0.04747246239527032, 0.22619085224216867, 0.00878689405990058, 0.11398608075326373, 0.0591802521335796, -0.016559616116614176, 0.004412353777422987, -0.19321846656209252, 0.06009627058138621, 0.32668163601694433, 0.0394054640782997, 0.20754844798096295, -0.3555860785638978, -0.14619146274595424, 0.24046169444597487, 0.16774434006997738, 0.0038932819232537315, -0.059289181881969605, -0.24593597682642526, 0.1578487336539246, -0.30779164875375814, -0.13137742744935355, -0.04689848664666301, 0.08942957533973045, -0.029549668125551324, -0.23208620689873552, 0.010848588037208236, 0.09969659880253262, 0.17852296245059576, -0.04861272193073969, -0.09826867662948267, -0.011483594867529283, 0.09017676986143763, -0.03711043141284508, -0.03797698241722738, 0.13329703457139688, -0.08611560156488599, -0.13410452608789863, 0.39735576587504357, -0.09433517426830428, -0.19972757234013286, 0.10829979477948028, -0.21313638521904318, -0.13604546367222892, 0.11251198911461337, 0.026866439224124468, 0.1175314484742181, -0.06129321385303448, 0.25663037840397385, -0.20830485711259575, 0.0904054828229007, 0.031686390730038545, -0.04818833739785799, 0.07924644044471969, 0.044101327497126724, 0.10399240743547501, 0.1356791587434067, 0.06350874160576997, 0.12190550951094463, -0.41946121266689795, -0.24457474526595965, -0.1281738465467211, 0.10275666712751162, -0.05312321396847657, -0.22383207468123273, 0.38719647127235757, 0.11808226337849066, 0.09947968345006993, 0.13931750767093537, 0.17682347350336355, 0.07920903118015146, 0.098866516900859, 0.13166300516479232, 0.05296637550205121, 0.1961761827436115, -0.1679494216142961, -0.18245442159441783, -0.011473722779994895, 0.19588941502673873] |
1,803.00479 | Tracked Instance Search | In this work we propose tracking as a generic addition to the instance search
task. From video data perspective, much information that can be used is not
taken into account in the traditional instance search approach. This work aims
to provide insights on exploiting such existing information by means of
tracking and the proper combination of the results, independently of the
instance search system. We also present a study on the improvement of the
system when using multiple independent instances (up to 4) of the same person.
Experimental results show that our system improves substantially its
performance when using tracking. Best configuration improves from mAP = 0.447
to mAP = 0.511 for a single example, and from mAP = 0.647 to mAP = 0.704 for
multiple (4) given examples.
| cs.IR | in this work we propose tracking as a generic addition to the instance search task from video data perspective much information that can be used is not taken into account in the traditional instance search approach this work aims to provide insights on exploiting such existing information by means of tracking and the proper combination of the results independently of the instance search system we also present a study on the improvement of the system when using multiple independent instances up to 4 of the same person experimental results show that our system improves substantially its performance when using tracking best configuration improves from map 0447 to map 0511 for a single example and from map 0647 to map 0704 for multiple 4 given examples | [['in', 'this', 'work', 'we', 'propose', 'tracking', 'as', 'a', 'generic', 'addition', 'to', 'the', 'instance', 'search', 'task', 'from', 'video', 'data', 'perspective', 'much', 'information', 'that', 'can', 'be', 'used', 'is', 'not', 'taken', 'into', 'account', 'in', 'the', 'traditional', 'instance', 'search', 'approach', 'this', 'work', 'aims', 'to', 'provide', 'insights', 'on', 'exploiting', 'such', 'existing', 'information', 'by', 'means', 'of', 'tracking', 'and', 'the', 'proper', 'combination', 'of', 'the', 'results', 'independently', 'of', 'the', 'instance', 'search', 'system', 'we', 'also', 'present', 'a', 'study', 'on', 'the', 'improvement', 'of', 'the', 'system', 'when', 'using', 'multiple', 'independent', 'instances', 'up', 'to', '4', 'of', 'the', 'same', 'person', 'experimental', 'results', 'show', 'that', 'our', 'system', 'improves', 'substantially', 'its', 'performance', 'when', 'using', 'tracking', 'best', 'configuration', 'improves', 'from', 'map', '0447', 'to', 'map', '0511', 'for', 'a', 'single', 'example', 'and', 'from', 'map', '0647', 'to', 'map', '0704', 'for', 'multiple', '4', 'given', 'examples']] | [-0.0409678111334797, -0.008333418302237987, -0.09029904019832612, 0.014881609125994146, -0.06837287337332965, -0.13412977876886725, 0.08057336075231433, 0.3634003299549222, -0.26465680347010495, -0.3825492907166481, 0.11839733390510082, -0.2638858010917902, -0.15918230001442135, 0.25621681729145346, -0.08244699135422706, 0.0525334308813326, 0.13508250861614943, 0.04528787875943817, -0.05322791052237153, -0.242983273033984, 0.3086350136399269, 0.06460712614282965, 0.26801573384553196, 0.041606529045850035, 0.1250934443594888, 0.047540230808779595, -0.05374812247417867, 0.03497105263546109, -0.10289244068099651, 0.13735640867054463, 0.24437572779878974, 0.1911392383784405, 0.24222703205049037, -0.37089579200744627, -0.20525130157917737, 0.10077334466576576, 0.15959760051220656, 0.1321671526879072, -0.0532300581689924, -0.33072607664763926, 0.11431848814617843, -0.14424957027286292, -0.03861769690364599, -0.09231736052781343, -0.03858481867797673, -0.006439441906288266, -0.2978234859444201, 0.002977747289231047, 0.08423085401859134, 0.03159902431815863, -0.08129238863941282, -0.1128084371862933, 0.04397092628106475, 0.208405620301608, 0.01728365641646087, 0.09755765495076775, 0.11814267738163471, -0.12719057155773045, -0.12397556084021925, 0.39717910024523734, -0.097904391778633, -0.20675216797180473, 0.18864380843192338, -0.10436499964073301, -0.1449637390188873, 0.1279578784238547, 0.18923586909845472, 0.11689495656639337, -0.17309257913124748, 0.020073972600512205, -0.06969449658319354, 0.18965397948771714, 0.029452106289565565, 0.012979765005409717, 0.16753564185090364, 0.20937848283722996, 0.07856442154198885, 0.1605471509201452, -0.1090478199776262, -0.0559459622874856, -0.24126826860103756, -0.14939091994427145, -0.16450602820143104, 0.0050364949350478125, -0.08738787992927245, -0.0638642367105931, 0.4052662662342191, 0.22213310460373759, 0.2345295577198267, 0.06303112235665322, 0.32637998859584333, 0.06823720278218388, 0.06564762144163251, 0.05883479427406564, 0.19594678922742606, -0.00804118257574737, 0.09548687530308962, -0.17179832682199775, 0.03965079126041383, 0.03941893577668816] |
1,803.0048 | Duality between 3D Massive Thirring and Maxwell Chern-Simons models from
2D bosonization | Bosonization techniques are important nonperturbative tools in quantum field
theory. In three dimensions they possess interesting connections to
topologically ordered systems and ultimately have driven the observation of an
impressive web of dualities. In this work, we use the quantum wires formalism
to show how the fermion-boson mapping relating the low-energy regime of the
massive Thirring model in three spacetime dimensions with the
Maxwell-Chern-Simons model can be obtained from the exact bosonization in two
dimensions.
| hep-th cond-mat.str-el | bosonization techniques are important nonperturbative tools in quantum field theory in three dimensions they possess interesting connections to topologically ordered systems and ultimately have driven the observation of an impressive web of dualities in this work we use the quantum wires formalism to show how the fermionboson mapping relating the lowenergy regime of the massive thirring model in three spacetime dimensions with the maxwellchernsimons model can be obtained from the exact bosonization in two dimensions | [['bosonization', 'techniques', 'are', 'important', 'nonperturbative', 'tools', 'in', 'quantum', 'field', 'theory', 'in', 'three', 'dimensions', 'they', 'possess', 'interesting', 'connections', 'to', 'topologically', 'ordered', 'systems', 'and', 'ultimately', 'have', 'driven', 'the', 'observation', 'of', 'an', 'impressive', 'web', 'of', 'dualities', 'in', 'this', 'work', 'we', 'use', 'the', 'quantum', 'wires', 'formalism', 'to', 'show', 'how', 'the', 'fermionboson', 'mapping', 'relating', 'the', 'lowenergy', 'regime', 'of', 'the', 'massive', 'thirring', 'model', 'in', 'three', 'spacetime', 'dimensions', 'with', 'the', 'maxwellchernsimons', 'model', 'can', 'be', 'obtained', 'from', 'the', 'exact', 'bosonization', 'in', 'two', 'dimensions']] | [-0.12882294480378428, 0.19250974377791863, -0.09521668218076229, 0.0879970471545433, -0.02327680867165327, -0.1897140194029392, -0.010755246389502038, 0.3501345637689034, -0.21147947618737817, -0.27940254524350167, 0.05362492610855649, -0.29079796358942983, -0.24608858469252784, 0.16456045989568036, -0.005718848593533039, 0.034765362925827506, -0.008890226650983095, 0.009767806127977868, -0.09801662701647729, -0.29171140075971685, 0.3210245049574102, -0.018282890707875293, 0.2921965109556913, 0.04070386411612465, 0.05853133488446474, -0.005612784858482579, -0.0033703910186886786, 0.04734025143707792, -0.13886452282468478, 0.13149462250371774, 0.2850243241339922, 0.034754733478960895, 0.1483821737828354, -0.468188999046882, -0.2401087444399794, 0.007041750798622767, 0.2048040720509986, 0.18358349365492663, -0.026302859969437122, -0.3346565899749597, 0.02642003696411848, -0.2065583456493914, -0.1553233254258521, -0.11920272050735851, -0.044678657034722465, -0.06969944263497989, -0.19348040434221428, 0.05828605907969177, 0.045528052843486266, 0.04281736905376116, -0.03160788174097737, -0.029712031483650207, 0.009564356959114471, 0.15230823285877704, 0.07550449589577814, 0.0015765202107528846, 0.07246304330105582, -0.20850996477218967, -0.18678513787686823, 0.3348542149364948, -0.026519989868005116, -0.21544404520342747, 0.26123984007785717, -0.13147777854076897, -0.194015585159262, 0.07896986222515504, 0.12016127216629684, 0.0938953934237361, -0.16429062041143577, 0.19829586601428068, -0.05862857720504205, 0.1194043785147369, 0.0427650479786098, 0.06904891468584537, 0.27068728088090815, 0.1303058956563473, 0.0006305635379006466, 0.14045089593001953, -0.019248553899427256, -0.16748451055958868, -0.29895799577236176, -0.15572486672128436, -0.16211121666555603, 0.08542108957966169, -0.11096685883259245, -0.1382744717846314, 0.3610763991624117, 0.2293615645604829, 0.13121000571797292, -0.012649030918255448, 0.2400105086962382, 0.1321210185997188, 0.07129622569307685, 0.027250588039557138, 0.2330774230711783, 0.1944534859682123, 0.08223554158583284, -0.21428533282907058, -0.11933573247864843, 0.14352332185953856] |
1,803.00481 | A Bound for the Rank-One Transient of Inhomogeneous Matrix Products in
Special Case | We consider inhomogeneous matrix products over max-plus algebra, where the
matrices in the product satisfy certain assumptions under which the matrix
products of sufficient length be rank-one, as it was shown in [6][L. Shue,
B.D.O. Anderson, S. Dey: On steady state properties of certain max-plus
products. Proceedings of the American Control Conference, Philadelphia,
Pensylvania, (June 1998), 1909 1913.]. We establish a bound on the transient
after which this starts to happen for any product of matrices whose length
exceeds that bound.
| math.RA | we consider inhomogeneous matrix products over maxplus algebra where the matrices in the product satisfy certain assumptions under which the matrix products of sufficient length be rankone as it was shown in 6l shue bdo anderson s dey on steady state properties of certain maxplus products proceedings of the american control conference philadelphia pensylvania june 1998 1909 1913 we establish a bound on the transient after which this starts to happen for any product of matrices whose length exceeds that bound | [['we', 'consider', 'inhomogeneous', 'matrix', 'products', 'over', 'maxplus', 'algebra', 'where', 'the', 'matrices', 'in', 'the', 'product', 'satisfy', 'certain', 'assumptions', 'under', 'which', 'the', 'matrix', 'products', 'of', 'sufficient', 'length', 'be', 'rankone', 'as', 'it', 'was', 'shown', 'in', '6l', 'shue', 'bdo', 'anderson', 's', 'dey', 'on', 'steady', 'state', 'properties', 'of', 'certain', 'maxplus', 'products', 'proceedings', 'of', 'the', 'american', 'control', 'conference', 'philadelphia', 'pensylvania', 'june', '1998', '1909', '1913', 'we', 'establish', 'a', 'bound', 'on', 'the', 'transient', 'after', 'which', 'this', 'starts', 'to', 'happen', 'for', 'any', 'product', 'of', 'matrices', 'whose', 'length', 'exceeds', 'that', 'bound']] | [-0.13364190983002464, 0.15341282360067096, -0.04941606360098606, 0.022959991232963585, -0.033798966892770954, -0.11930738658868248, 0.044362473479896504, 0.2905070470716757, -0.28410746914016294, -0.2259878951944175, 0.19641742392891098, -0.24402880288448325, -0.16564064584908228, 0.178550721128483, -0.0972202964763664, -0.0017606667950277842, 0.09973468299059174, 0.09615123757644545, -0.11756000013821581, -0.3121189199081516, 0.3153673494765181, 0.05877531970603556, 0.28634026169163895, 0.05880904445480673, 0.10202699821866766, 0.08887656728583801, -0.020889555089340747, -0.04409313540245536, -0.16072984939616813, 0.04529789893569637, 0.2512984092618468, 0.155590258815762, 0.23578610952613474, -0.4334162363098769, -0.10529523074061056, 0.16202063913916862, 0.04636841556175223, 0.008326695144435839, 0.05021623080843895, -0.29817416919748996, 0.06558395480395213, -0.23514989669187158, -0.12315276570476685, 0.02091107124321257, 0.08938006001017705, 0.01911870539306274, -0.27633469725245774, 0.06817698218164188, 0.08366301702040754, 0.043182702015943916, -0.07019472485879742, -0.1463127296382585, 0.014653093181550503, 0.06316068626445116, 0.005016858259192373, -0.029585944105505566, 0.09099147245995229, -0.04545175033928001, -0.11000479349890087, 0.31003617655627336, -0.056793444562273074, -0.1264875358017751, 0.11912375406208861, -0.15434901521222877, -0.15634785017258004, 0.12876782249777188, 0.1734261088238298, 0.09930565486414523, -0.11796945586942043, 0.17384782664572138, -0.1653394682592229, 0.13479250120411662, 0.14279320938041126, 0.003799750404786083, 0.11486752330962144, 0.053368314459648784, 0.0907519975193788, 0.12529596150410657, 0.03946838534107031, -0.09237375565439085, -0.3052611578538825, -0.15996318778076174, -0.17502950008109777, 0.1577368075399412, -0.060620622715287946, -0.20119676458512292, 0.36382048333040146, 0.0786854683221141, 0.16864888444307108, 0.027190603200888522, 0.1465738735668644, 0.12452995977320272, 0.02247216177609148, 0.11141862998174244, 0.18439366403507376, 0.22339784363697318, 0.08497965556740336, -0.13945878479818377, 0.10257506435383347, 0.1812379481123548] |
1,803.00482 | Ultrafast light-induced softening of chalcogenide thin films above the
rigidity percolation transition | Little is known about the role of network rigidity in light-induced
structural rearrangements in network glasses due to a lack of supporting
experiments and theories. In this report, we demonstrate for the first time the
ultrafast structural rearrangements manifested as induced absorption (IA) over
a broad spectral range in a-GexAs35-xSe65 thin films above the mean-field
rigidity percolation transition, quantified by the mean coordination number <r>
= 2.40. The IA spectrum arising from self-trapped excitons, induced structural
rearrangements by softening the glass network that strikingly reveal two
relaxation mechanisms which differ by one order of magnitude. The fast kinetics
of electron-lattice interaction occurs within 1 ps, exhibits a weak dependence
on rigidity and dominates in the sub-bandgap region. In a stark contrast, the
slow kinetics are associated with the structural changes in the bandgap region
and depends strongly on network rigidity. Our results further demonstrate that
amplitude of IA scales a linear relationship with excitation fluence which
provides a unique way to induce structural rearrangements in over-coordinated
network to exploit it for practical purposes. Our results modify the
conventional concept of rigidity dependence of light-induced effects in network
glasses, when excited with an ultrafast laser.
| cond-mat.mtrl-sci | little is known about the role of network rigidity in lightinduced structural rearrangements in network glasses due to a lack of supporting experiments and theories in this report we demonstrate for the first time the ultrafast structural rearrangements manifested as induced absorption ia over a broad spectral range in agexas35xse65 thin films above the meanfield rigidity percolation transition quantified by the mean coordination number r 240 the ia spectrum arising from selftrapped excitons induced structural rearrangements by softening the glass network that strikingly reveal two relaxation mechanisms which differ by one order of magnitude the fast kinetics of electronlattice interaction occurs within 1 ps exhibits a weak dependence on rigidity and dominates in the subbandgap region in a stark contrast the slow kinetics are associated with the structural changes in the bandgap region and depends strongly on network rigidity our results further demonstrate that amplitude of ia scales a linear relationship with excitation fluence which provides a unique way to induce structural rearrangements in overcoordinated network to exploit it for practical purposes our results modify the conventional concept of rigidity dependence of lightinduced effects in network glasses when excited with an ultrafast laser | [['little', 'is', 'known', 'about', 'the', 'role', 'of', 'network', 'rigidity', 'in', 'lightinduced', 'structural', 'rearrangements', 'in', 'network', 'glasses', 'due', 'to', 'a', 'lack', 'of', 'supporting', 'experiments', 'and', 'theories', 'in', 'this', 'report', 'we', 'demonstrate', 'for', 'the', 'first', 'time', 'the', 'ultrafast', 'structural', 'rearrangements', 'manifested', 'as', 'induced', 'absorption', 'ia', 'over', 'a', 'broad', 'spectral', 'range', 'in', 'agexas35xse65', 'thin', 'films', 'above', 'the', 'meanfield', 'rigidity', 'percolation', 'transition', 'quantified', 'by', 'the', 'mean', 'coordination', 'number', 'r', '240', 'the', 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1,803.00483 | Onset of lasing in small devices: the identification of the first
threshold | We present a simple and flexible technique for identifying the onset of
coherent emission in lasers, from the mesoscale to the nanoscale, which makes
use of photon counting and a small amplitude modulation added to the pump. The
optimal modulation frequency is obtained from the radiofrequency power spectrum
of the unperturbed laser emission. The identification of the lasing onset rests
on the appearence of a resonance in the response of the zero-order
autocorrelation function ($g^{(2)}(0)$) plotted as a function of the pump rate.
The intrinsic simplicity of this technique and its use of photon counting make
it an excellent tool for certifying the onset of laser emission in nanoscale
sources.
| physics.optics | we present a simple and flexible technique for identifying the onset of coherent emission in lasers from the mesoscale to the nanoscale which makes use of photon counting and a small amplitude modulation added to the pump the optimal modulation frequency is obtained from the radiofrequency power spectrum of the unperturbed laser emission the identification of the lasing onset rests on the appearence of a resonance in the response of the zeroorder autocorrelation function g20 plotted as a function of the pump rate the intrinsic simplicity of this technique and its use of photon counting make it an excellent tool for certifying the onset of laser emission in nanoscale sources | [['we', 'present', 'a', 'simple', 'and', 'flexible', 'technique', 'for', 'identifying', 'the', 'onset', 'of', 'coherent', 'emission', 'in', 'lasers', 'from', 'the', 'mesoscale', 'to', 'the', 'nanoscale', 'which', 'makes', 'use', 'of', 'photon', 'counting', 'and', 'a', 'small', 'amplitude', 'modulation', 'added', 'to', 'the', 'pump', 'the', 'optimal', 'modulation', 'frequency', 'is', 'obtained', 'from', 'the', 'radiofrequency', 'power', 'spectrum', 'of', 'the', 'unperturbed', 'laser', 'emission', 'the', 'identification', 'of', 'the', 'lasing', 'onset', 'rests', 'on', 'the', 'appearence', 'of', 'a', 'resonance', 'in', 'the', 'response', 'of', 'the', 'zeroorder', 'autocorrelation', 'function', 'g20', 'plotted', 'as', 'a', 'function', 'of', 'the', 'pump', 'rate', 'the', 'intrinsic', 'simplicity', 'of', 'this', 'technique', 'and', 'its', 'use', 'of', 'photon', 'counting', 'make', 'it', 'an', 'excellent', 'tool', 'for', 'certifying', 'the', 'onset', 'of', 'laser', 'emission', 'in', 'nanoscale', 'sources']] | [-0.12145543799481609, 0.12566451185332633, -0.10809356255062581, 0.04580577037889849, -0.04203542722389102, -0.1113524492279711, 0.06397810680474239, 0.388276421812109, -0.24804052636873994, -0.278524731552567, 0.04762418743921444, -0.2462462863673202, -0.10401909113861621, 0.26666693670505826, 0.006625557949089192, 0.08384440989095972, -0.00933934975500134, -0.007027597539126873, 0.008100396199998531, -0.10284822722050277, 0.2593563636002893, 0.11702055055118928, 0.32610572739292615, 0.058470871997997165, 0.13467976968227463, 0.04436787192032419, -0.007997283060103656, -0.08546405896036462, -0.09321310544725168, 0.11415400340391153, 0.22658809784122488, 0.07025917077183046, 0.24436244331300258, -0.3650996911847456, -0.21368532147766514, 0.07485773138905642, 0.11665730279981455, 0.1275759656987661, -0.06285495712469459, -0.23624782365831462, 0.029542974492704325, -0.14196473281745883, -0.15531732581386512, -0.025902711921794847, 0.007319236275824634, 0.08000133681026372, -0.2778617043937133, 0.08011045399206605, 0.056782728982877666, 0.063470219287344, -0.037326966879085044, -0.024838013367050073, -0.019935051904229277, 0.10948532017117196, 0.004769588892602108, 0.016315658479420975, 0.17350192856128244, -0.16588211373891681, -0.09091249091804705, 0.3650351463732394, -0.09878722433508798, -0.09557628408709372, 0.13641397043723952, -0.18457450982691212, -0.06256496830928054, 0.21632172458551147, 0.1269241607388143, 0.12285580006428062, -0.10157237336018377, -0.0032075894038743253, 0.0490249305751852, 0.2425751543180509, 0.12101556268435988, 0.1194355163553899, 0.2080120150846514, 0.19937884602272374, 0.0437807000760751, 0.2037428294477815, -0.15771299782844092, -0.005834435002708977, -0.30591542852026493, -0.1149794092740525, -0.21591489744764245, 0.06265036451037634, -0.07921286697171374, -0.18716754970426502, 0.4667631563391875, 0.1672595704821023, 0.15036225685511123, 0.010779336366844788, 0.34293168488339604, 0.18438917466926136, 0.054206966274333274, -0.011986830377612601, 0.282180874964053, 0.18371602416631172, 0.11138500191101974, -0.29945994597775016, 0.02180659600575878, -0.00763506040146405] |
1,803.00484 | DL_MONTE: A multipurpose code for Monte Carlo simulation | DL_MONTE is an open source, general-purpose software package for performing
Monte Carlo simulations. It includes a wide variety of force fields and MC
techniques, and thus is applicable to a broad range of problems in molecular
simulation. Here we provide an overview of DL_MONTE, focusing on key features
recently added to the package. These include the ability to treat systems
confined to a planar pore (i.e. `slit' or `slab' boundary conditions); the
lattice-switch Monte Carlo (LSMC) method for evaluating precise free energy
differences between competing polymorphs; various commonly-used methods for
evaluating free energy profiles along transition pathways (including umbrella
sampling, Wang-Landau and transition matrix); and a supplementary Python
toolkit for simulation management and application of the histogram reweighting
analysis method. We provide two `real world' examples to elucidate the use of
these methods in DL_MONTE. In particular, we apply umbrella sampling to
calculate the free energy profile associated with the translocation of a lipid
through a bilayer. Moreover we employ LSMC to examine the thermodynamic
stability of two plastic crystal phases of water at high pressure. Beyond this,
we provide instructions on how to access DL_MONTE, and point to additional
information valuable to existing and prospective users.
| physics.comp-ph | dl_monte is an open source generalpurpose software package for performing monte carlo simulations it includes a wide variety of force fields and mc techniques and thus is applicable to a broad range of problems in molecular simulation here we provide an overview of dl_monte focusing on key features recently added to the package these include the ability to treat systems confined to a planar pore ie slit or slab boundary conditions the latticeswitch monte carlo lsmc method for evaluating precise free energy differences between competing polymorphs various commonlyused methods for evaluating free energy profiles along transition pathways including umbrella sampling wanglandau and transition matrix and a supplementary python toolkit for simulation management and application of the histogram reweighting analysis method we provide two real world examples to elucidate the use of these methods in dl_monte in particular we apply umbrella sampling to calculate the free energy profile associated with the translocation of a lipid through a bilayer moreover we employ lsmc to examine the thermodynamic stability of two plastic crystal phases of water at high pressure beyond this we provide instructions on how to access dl_monte and point to additional information valuable to existing and prospective users | [['dl_monte', 'is', 'an', 'open', 'source', 'generalpurpose', 'software', 'package', 'for', 'performing', 'monte', 'carlo', 'simulations', 'it', 'includes', 'a', 'wide', 'variety', 'of', 'force', 'fields', 'and', 'mc', 'techniques', 'and', 'thus', 'is', 'applicable', 'to', 'a', 'broad', 'range', 'of', 'problems', 'in', 'molecular', 'simulation', 'here', 'we', 'provide', 'an', 'overview', 'of', 'dl_monte', 'focusing', 'on', 'key', 'features', 'recently', 'added', 'to', 'the', 'package', 'these', 'include', 'the', 'ability', 'to', 'treat', 'systems', 'confined', 'to', 'a', 'planar', 'pore', 'ie', 'slit', 'or', 'slab', 'boundary', 'conditions', 'the', 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1,803.00485 | Practical Implementation of Adaptive Analog Nonlinear Filtering For
Impulsive Noise Mitigation | It is well known that the performance of OFDM-based Powerline Communication
(PLC) systems is impacted by impulsive noise. In this work, we propose a
practical blind adaptive analog nonlinear filter to efficiently detect and
mitigate impulsive noise. Specially, we design an Adaptive Canonical
Differential Limiter (ACDL) which is constructed from a Clipped Mean Tracking
Filter (CMTF) and Quartile Tracking Filters (QTFs). The QTFs help to determine
a real-time range that excludes outliers. This range is fed into the CMTF which
is responsible for mitigating impulsive noise. The CMTF is a nonlinear analog
filter and its nonlinearity is controlled by the aforementioned range. Proper
selection of this range ensures the improvement of the desired signal quality
in impulsive environment. It is important to note that the proposed ACDL
behaves like a linear filter in case of no impulsive noise. In this context,
the traditional matched filter construction is modified to ensure
distortionless processing of the desired signal. The performance improvement of
the proposed ACDL is due to the fact that unlike other nonlinear methods, the
ACDL is implemented in the analog domain where the outliers are still broadband
and distinguishable. Simulation results in PRIME (OFDM-based narrowband PLC
system) demonstrate the superior BER performance of ACDL relative to other
nonlinear approaches such as blanking and clipping in impulsive noise
environments.
| eess.SP | it is well known that the performance of ofdmbased powerline communication plc systems is impacted by impulsive noise in this work we propose a practical blind adaptive analog nonlinear filter to efficiently detect and mitigate impulsive noise specially we design an adaptive canonical differential limiter acdl which is constructed from a clipped mean tracking filter cmtf and quartile tracking filters qtfs the qtfs help to determine a realtime range that excludes outliers this range is fed into the cmtf which is responsible for mitigating impulsive noise the cmtf is a nonlinear analog filter and its nonlinearity is controlled by the aforementioned range proper selection of this range ensures the improvement of the desired signal quality in impulsive environment it is important to note that the proposed acdl behaves like a linear filter in case of no impulsive noise in this context the traditional matched filter construction is modified to ensure distortionless processing of the desired signal the performance improvement of the proposed acdl is due to the fact that unlike other nonlinear methods the acdl is implemented in the analog domain where the outliers are still broadband and distinguishable simulation results in prime ofdmbased narrowband plc system demonstrate the superior ber performance of acdl relative to other nonlinear approaches such as blanking and clipping in impulsive noise environments | [['it', 'is', 'well', 'known', 'that', 'the', 'performance', 'of', 'ofdmbased', 'powerline', 'communication', 'plc', 'systems', 'is', 'impacted', 'by', 'impulsive', 'noise', 'in', 'this', 'work', 'we', 'propose', 'a', 'practical', 'blind', 'adaptive', 'analog', 'nonlinear', 'filter', 'to', 'efficiently', 'detect', 'and', 'mitigate', 'impulsive', 'noise', 'specially', 'we', 'design', 'an', 'adaptive', 'canonical', 'differential', 'limiter', 'acdl', 'which', 'is', 'constructed', 'from', 'a', 'clipped', 'mean', 'tracking', 'filter', 'cmtf', 'and', 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1,803.00486 | Codes from surfaces with small Picard number | Extending work of M. Zarzar, we evaluate the potential of Goppa-type
evaluation codes constructed from linear systems on projective algebraic
surfaces with small Picard number. Putting this condition on the Picard number
provides some control over the numbers of irreducible components of curves on
the surface and hence over the minimum distance of the codes. We find that such
surfaces do not automatically produce good codes; the sectional genus of the
surface also has a major influence. Using that additional invariant, we derive
bounds on the minimum distance under the assumption that the hyperplane section
class generates the N\'eron-Severi group. We also give several examples of
codes from such surfaces with minimum distance better than the best known
bounds in Grassl's tables.
| cs.IT math.AG math.IT | extending work of m zarzar we evaluate the potential of goppatype evaluation codes constructed from linear systems on projective algebraic surfaces with small picard number putting this condition on the picard number provides some control over the numbers of irreducible components of curves on the surface and hence over the minimum distance of the codes we find that such surfaces do not automatically produce good codes the sectional genus of the surface also has a major influence using that additional invariant we derive bounds on the minimum distance under the assumption that the hyperplane section class generates the neronseveri group we also give several examples of codes from such surfaces with minimum distance better than the best known bounds in grassls tables | [['extending', 'work', 'of', 'm', 'zarzar', 'we', 'evaluate', 'the', 'potential', 'of', 'goppatype', 'evaluation', 'codes', 'constructed', 'from', 'linear', 'systems', 'on', 'projective', 'algebraic', 'surfaces', 'with', 'small', 'picard', 'number', 'putting', 'this', 'condition', 'on', 'the', 'picard', 'number', 'provides', 'some', 'control', 'over', 'the', 'numbers', 'of', 'irreducible', 'components', 'of', 'curves', 'on', 'the', 'surface', 'and', 'hence', 'over', 'the', 'minimum', 'distance', 'of', 'the', 'codes', 'we', 'find', 'that', 'such', 'surfaces', 'do', 'not', 'automatically', 'produce', 'good', 'codes', 'the', 'sectional', 'genus', 'of', 'the', 'surface', 'also', 'has', 'a', 'major', 'influence', 'using', 'that', 'additional', 'invariant', 'we', 'derive', 'bounds', 'on', 'the', 'minimum', 'distance', 'under', 'the', 'assumption', 'that', 'the', 'hyperplane', 'section', 'class', 'generates', 'the', 'neronseveri', 'group', 'we', 'also', 'give', 'several', 'examples', 'of', 'codes', 'from', 'such', 'surfaces', 'with', 'minimum', 'distance', 'better', 'than', 'the', 'best', 'known', 'bounds', 'in', 'grassls', 'tables']] | [-0.17817404807234805, 0.05910105862809966, -0.09261431328486651, 0.07455118347133975, -0.06294223208290835, -0.14384153021577126, 0.05025540896458551, 0.3515714355298163, -0.26275359673745696, -0.32129638308348757, 0.09339349220293419, -0.27556576911592856, -0.149434829580908, 0.28598343998601194, -0.12163930438885776, 0.055669196990008156, 0.06986996601141679, 0.08138035923087349, -0.13578910426197885, -0.3361306685488671, 0.39100599530308194, 0.0561191445759808, 0.22864597221681227, 0.07465054009565696, 0.11152094984427094, 0.014680123309760044, -0.002474329542989532, 0.0007613794412463903, -0.19491796992266852, 0.1540178985334933, 0.21826107046217658, 0.11914033690312256, 0.1580487751266143, -0.38785729302714267, -0.21339204302445675, 0.16759848418975404, 0.09144720463664271, 0.0941027595467555, -0.04386676341528073, -0.19579713474959135, 0.11050816836844508, -0.1323438577198734, -0.10281049273986961, -0.04230730384588242, 0.014993753357945632, 0.052611107479121226, -0.18708494129823522, -0.034943154175319555, 0.04613308215824266, 0.1386974058385628, -0.05048026602016762, -0.18397839606332128, -0.0491404068035384, 0.10619795654395905, 0.026148473921542365, 0.027475594038454194, 0.08557783606035324, -0.07660817754943612, -0.07024457160150632, 0.34670330947265027, -0.07369482269920506, -0.22091961414359199, 0.16282710596375788, -0.11498750888470871, -0.0968187537335325, 0.14285804388734202, 0.20591408867233743, 0.14455349358225553, -0.04631178677858164, 0.11783033537940354, -0.10954322098599126, 0.14817556655422473, 0.08852316955259691, 0.031577102234587075, 0.13577657910063862, 0.07451944914258396, 0.12682182546262386, 0.13849510789247385, -0.08429096830077469, -0.0359227682541435, -0.3659649713275333, -0.15894355169730262, -0.15565054447749085, 0.0704931934307145, -0.12939013718071996, -0.16900668030721136, 0.40374437753732006, 0.11077347409445792, 0.2052986907501084, 0.14085341535004167, 0.2574439771939069, 0.008331466062615315, 0.11240950834083681, 0.14931261790916323, 0.1849450131075476, 0.16333701733189324, -0.07574390970597354, -0.1632477157288425, 0.0642061580865023, 0.12934489119021844] |
1,803.00487 | Speciation in a MacArthur model predicts growth, stability and
adaptation in ecosystems dynamics | Ecosystems dynamics is often considered as driven by a coupling of species'
resource consumption and its population size dynamics. Such resource-population
dynamics is captured by MacArthur-type models. One biologically relevant
feature that would also need to be captured by such models is the introduction
of new and different species. Speciation introduces a stochastic component in
the otherwise deterministic MacArthur theory. We describe here how speciation
can be implemented to yield a model that is consistent with current theory on
equilibrium resource-consumer models, but also displays readily observable rank
diversity metric changes. The model also reproduces a priority effect. Adding
speciation to a MacArthur-style model so provides an attractively simple
extension to explore the rich dynamics in evolving ecosystems.
| q-bio.PE physics.bio-ph | ecosystems dynamics is often considered as driven by a coupling of species resource consumption and its population size dynamics such resourcepopulation dynamics is captured by macarthurtype models one biologically relevant feature that would also need to be captured by such models is the introduction of new and different species speciation introduces a stochastic component in the otherwise deterministic macarthur theory we describe here how speciation can be implemented to yield a model that is consistent with current theory on equilibrium resourceconsumer models but also displays readily observable rank diversity metric changes the model also reproduces a priority effect adding speciation to a macarthurstyle model so provides an attractively simple extension to explore the rich dynamics in evolving ecosystems | [['ecosystems', 'dynamics', 'is', 'often', 'considered', 'as', 'driven', 'by', 'a', 'coupling', 'of', 'species', 'resource', 'consumption', 'and', 'its', 'population', 'size', 'dynamics', 'such', 'resourcepopulation', 'dynamics', 'is', 'captured', 'by', 'macarthurtype', 'models', 'one', 'biologically', 'relevant', 'feature', 'that', 'would', 'also', 'need', 'to', 'be', 'captured', 'by', 'such', 'models', 'is', 'the', 'introduction', 'of', 'new', 'and', 'different', 'species', 'speciation', 'introduces', 'a', 'stochastic', 'component', 'in', 'the', 'otherwise', 'deterministic', 'macarthur', 'theory', 'we', 'describe', 'here', 'how', 'speciation', 'can', 'be', 'implemented', 'to', 'yield', 'a', 'model', 'that', 'is', 'consistent', 'with', 'current', 'theory', 'on', 'equilibrium', 'resourceconsumer', 'models', 'but', 'also', 'displays', 'readily', 'observable', 'rank', 'diversity', 'metric', 'changes', 'the', 'model', 'also', 'reproduces', 'a', 'priority', 'effect', 'adding', 'speciation', 'to', 'a', 'macarthurstyle', 'model', 'so', 'provides', 'an', 'attractively', 'simple', 'extension', 'to', 'explore', 'the', 'rich', 'dynamics', 'in', 'evolving', 'ecosystems']] | [-0.07890233778718697, 0.17410204445895153, -0.11191666119772455, 0.11559278396889568, -0.06058708921317821, -0.19684843156162812, 0.025839032945425614, 0.3612940862450911, -0.3060954350492229, -0.2995427588729755, 0.07264867483476257, -0.23589472336613615, -0.2122117051773745, 0.1360793380167983, -0.08331108619863896, -0.050293451426651974, 0.038842891326741034, 0.006046249134385067, 0.049511735856725386, -0.20859430878544633, 0.27378190413076914, 0.09409830129259954, 0.2499494008132783, 0.025381724568812745, 0.10352821647311035, -0.07513679953130042, -0.006583375022139238, 0.06834129426911797, -0.1125747698466749, 0.09694953017074706, 0.23750182453808047, 0.1817500510536458, 0.23716055279516657, -0.43700331884395816, -0.2916217259480618, 0.11428617396918328, 0.16245409996911842, 0.16472665654576343, -0.042114293944778974, -0.2354197463121913, -0.013447004665985056, -0.2144168049501984, -0.13684158929238988, -0.11522352313015448, 0.013232036713389276, -0.010880122605063346, -0.2662870171520373, 0.07575104820223161, 0.04331258259632665, 0.055426451660004324, -0.050532197476739225, -0.07433491673968408, -0.07077578646333321, 0.11375251588533106, 0.016460649898457948, -0.007554382425935372, 0.1639934922285054, -0.1285102977093471, -0.1171555058605483, 0.39041519878513137, -0.09935186065369002, -0.21905731184651023, 0.24496798298787326, -0.07895379247467803, -0.1543251044623068, 0.10932344116432512, 0.172970772785661, 0.0733351549422166, -0.21999253667891025, 0.06944186722191617, -0.029245824569269368, 0.19175351999052193, -0.010855667853889906, 0.011245059012435377, 0.2595536366590987, 0.2434341750877059, 0.04877464366347893, 0.11325026988659216, -0.010855719708311168, -0.1814247304411686, -0.2158647323594145, -0.08835026248479667, -0.12250881483170974, 0.05722814749764359, -0.06129617688585194, -0.14890501391669006, 0.39992075306565866, 0.19215084093764587, 0.19048270092386266, 0.05663283981544816, 0.2812315390414923, 0.10906840214890469, 0.0794115975838276, 0.03723311064683873, 0.16341699006785032, 0.0792631084969996, 0.07602962710206275, -0.20285600642268747, 0.1726210872597142, 0.03374182202488832] |
1,803.00488 | In-situ strain-tuning of the metal-insulator-transition of
Ca$_{2}$RuO$_{4}$ in angle-resolved photoemission experiments | We report the evolution of the $k$-space electronic structure of lightly
doped bulk Ca$_{2}$RuO$_{4}$ with uniaxial strain. Using ultrathin plate-like
crystals, we achieve strain levels up to $-4.1\%$, sufficient to suppress the
Mott phase and access the previously unexplored metallic state at low
temperature. Angle-resolved photoemission experiments performed while tuning
the uniaxial strain reveal that metallicity emerges from a marked
redistribution of charge within the Ru $t_{2g}$ shell, accompanied by a sudden
collapse of the spectral weight in the lower Hubbard band and the emergence of
a well defined Fermi surface which is devoid of pseudogaps. Our results
highlight the profound roles of lattice energetics and of the multiorbital
nature of Ca$_{2}$RuO$_{4}$ in this archetypal Mott transition and open new
perspectives for spectroscopic measurements.
| cond-mat.str-el | we report the evolution of the kspace electronic structure of lightly doped bulk ca_2ruo_4 with uniaxial strain using ultrathin platelike crystals we achieve strain levels up to 41 sufficient to suppress the mott phase and access the previously unexplored metallic state at low temperature angleresolved photoemission experiments performed while tuning the uniaxial strain reveal that metallicity emerges from a marked redistribution of charge within the ru t_2g shell accompanied by a sudden collapse of the spectral weight in the lower hubbard band and the emergence of a well defined fermi surface which is devoid of pseudogaps our results highlight the profound roles of lattice energetics and of the multiorbital nature of ca_2ruo_4 in this archetypal mott transition and open new perspectives for spectroscopic measurements | [['we', 'report', 'the', 'evolution', 'of', 'the', 'kspace', 'electronic', 'structure', 'of', 'lightly', 'doped', 'bulk', 'ca_2ruo_4', 'with', 'uniaxial', 'strain', 'using', 'ultrathin', 'platelike', 'crystals', 'we', 'achieve', 'strain', 'levels', 'up', 'to', '41', 'sufficient', 'to', 'suppress', 'the', 'mott', 'phase', 'and', 'access', 'the', 'previously', 'unexplored', 'metallic', 'state', 'at', 'low', 'temperature', 'angleresolved', 'photoemission', 'experiments', 'performed', 'while', 'tuning', 'the', 'uniaxial', 'strain', 'reveal', 'that', 'metallicity', 'emerges', 'from', 'a', 'marked', 'redistribution', 'of', 'charge', 'within', 'the', 'ru', 't_2g', 'shell', 'accompanied', 'by', 'a', 'sudden', 'collapse', 'of', 'the', 'spectral', 'weight', 'in', 'the', 'lower', 'hubbard', 'band', 'and', 'the', 'emergence', 'of', 'a', 'well', 'defined', 'fermi', 'surface', 'which', 'is', 'devoid', 'of', 'pseudogaps', 'our', 'results', 'highlight', 'the', 'profound', 'roles', 'of', 'lattice', 'energetics', 'and', 'of', 'the', 'multiorbital', 'nature', 'of', 'ca_2ruo_4', 'in', 'this', 'archetypal', 'mott', 'transition', 'and', 'open', 'new', 'perspectives', 'for', 'spectroscopic', 'measurements']] | [-0.15604959412537997, 0.2100047487352464, -0.02812854320584466, 0.012553836481886045, -0.0346262413743628, -0.1347329232751602, 0.15539462257912684, 0.4091959273622882, -0.26283858612840694, -0.29676114326162684, -0.008965878343705328, -0.30755803947367016, -0.13532365002526692, 0.13652806700537762, 0.04957604746244127, -0.002931415096041277, -0.023324015077143427, -0.1288871983190127, -0.18324441313856252, -0.2027592419736691, 0.3074309147740414, 0.06909703433648834, 0.32628178682118175, 0.12430187213167007, 0.018350099342745625, -0.01581452504521416, 0.10983299318468198, 0.012056262998451148, -0.18755574000750774, 0.06437576590706745, 0.28679254793584524, -0.11688475376896319, 0.20823792524770984, -0.4456994999650746, -0.23461446346294496, -0.06395149159417939, 0.1232212362519931, 0.1369413727783643, -0.09385671051249149, -0.3000514464332692, -0.0007579118584192568, -0.1472027660309968, -0.14174606825690717, -0.09998938401094487, -0.05967272234509789, -0.03325878723286047, -0.19259521899033233, 0.15547779672229925, 0.05000984356569637, 0.13219877752295184, -0.16998816168709327, -0.11605367984532589, -0.1294474944325855, 0.06226966074562722, 0.036625715756541, 0.07308202227690228, 0.14830828710053598, -0.11337510140560146, -0.09628474887370342, 0.3749636428791188, -0.03120232617572671, -0.017599959208089256, 0.16738612195401784, -0.22820655776623397, -0.10691191822726039, 0.19933947526489296, 0.09805568952428838, 0.06197071692628425, -0.09597348445893131, 0.06651202375994011, 0.005511117299207517, 0.203519760855406, 0.029194472440248056, 0.12070119892802811, 0.2510150316802244, 0.2457745179699193, 0.01245554456216914, 0.14072385065505402, -0.161818953647819, -0.023197519720622128, -0.20907792489555094, -0.15347699978719315, -0.24336033132332827, 0.08144041163576467, -0.07535693465850331, -0.22505698426656665, 0.41880994513180225, 0.11873742851293495, 0.18464940951971878, -0.10397773446241063, 0.16763601867827557, 0.05567393477981715, 0.04857988915577035, 0.042473021774522716, 0.27102637012684416, 0.158793036144362, 0.10928894217208689, -0.3207141275671611, 0.07283365853894089, -0.007125701191046486] |
1,803.00489 | $tt^{*}$ Geometry of Modular Curves | Motivated by Vafa's model, we study the $tt^{*}$ geometry of a degenerate
class of FQHE models with an abelian group of symmetry acting transitively on
the classical vacua. Despite it is not relevant for the phenomenology of the
FQHE, this class of theories has interesting mathematical properties. We find
that these models are parametrized by the family of modular curves $Y_{1}(N)=
\mathbb{H}/\Gamma_{1}(N)$, labelled by an integer $N\geq 2$. Each point of the
space of level $N$ is in correspondence with a one dimensional $\mathcal{N}=4$
Landau-Ginzburg theory, which is defined on an elliptic curve with $N$ vacua
and $N$ poles in the fundamental cell. The modular curve $Y(N)=
\mathbb{H}/\Gamma(N)$ is a cover of degree $N$ of $Y_{1}(N)$ and plays the role
of spectral cover for the space of models. The presence of an abelian symmetry
allows to diagonalize the Berry's connection of the vacuum bundle and the
$tt^{*}$ equations turn out to be the well known $\hat{A}_{N-1}$ Toda
equations. The underlying structure of the modular curves and the connection
between geometry and number theory emerge clearly when we study the modular
properties and classify the critical limits of these models.
| hep-th math-ph math.MP | motivated by vafas model we study the tt geometry of a degenerate class of fqhe models with an abelian group of symmetry acting transitively on the classical vacua despite it is not relevant for the phenomenology of the fqhe this class of theories has interesting mathematical properties we find that these models are parametrized by the family of modular curves y_1n mathbbhgamma_1n labelled by an integer ngeq 2 each point of the space of level n is in correspondence with a one dimensional mathcaln4 landauginzburg theory which is defined on an elliptic curve with n vacua and n poles in the fundamental cell the modular curve yn mathbbhgamman is a cover of degree n of y_1n and plays the role of spectral cover for the space of models the presence of an abelian symmetry allows to diagonalize the berrys connection of the vacuum bundle and the tt equations turn out to be the well known hata_n1 toda equations the underlying structure of the modular curves and the connection between geometry and number theory emerge clearly when we study the modular properties and classify the critical limits of these models | [['motivated', 'by', 'vafas', 'model', 'we', 'study', 'the', 'tt', 'geometry', 'of', 'a', 'degenerate', 'class', 'of', 'fqhe', 'models', 'with', 'an', 'abelian', 'group', 'of', 'symmetry', 'acting', 'transitively', 'on', 'the', 'classical', 'vacua', 'despite', 'it', 'is', 'not', 'relevant', 'for', 'the', 'phenomenology', 'of', 'the', 'fqhe', 'this', 'class', 'of', 'theories', 'has', 'interesting', 'mathematical', 'properties', 'we', 'find', 'that', 'these', 'models', 'are', 'parametrized', 'by', 'the', 'family', 'of', 'modular', 'curves', 'y_1n', 'mathbbhgamma_1n', 'labelled', 'by', 'an', 'integer', 'ngeq', '2', 'each', 'point', 'of', 'the', 'space', 'of', 'level', 'n', 'is', 'in', 'correspondence', 'with', 'a', 'one', 'dimensional', 'mathcaln4', 'landauginzburg', 'theory', 'which', 'is', 'defined', 'on', 'an', 'elliptic', 'curve', 'with', 'n', 'vacua', 'and', 'n', 'poles', 'in', 'the', 'fundamental', 'cell', 'the', 'modular', 'curve', 'yn', 'mathbbhgamman', 'is', 'a', 'cover', 'of', 'degree', 'n', 'of', 'y_1n', 'and', 'plays', 'the', 'role', 'of', 'spectral', 'cover', 'for', 'the', 'space', 'of', 'models', 'the', 'presence', 'of', 'an', 'abelian', 'symmetry', 'allows', 'to', 'diagonalize', 'the', 'berrys', 'connection', 'of', 'the', 'vacuum', 'bundle', 'and', 'the', 'tt', 'equations', 'turn', 'out', 'to', 'be', 'the', 'well', 'known', 'hata_n1', 'toda', 'equations', 'the', 'underlying', 'structure', 'of', 'the', 'modular', 'curves', 'and', 'the', 'connection', 'between', 'geometry', 'and', 'number', 'theory', 'emerge', 'clearly', 'when', 'we', 'study', 'the', 'modular', 'properties', 'and', 'classify', 'the', 'critical', 'limits', 'of', 'these', 'models']] | [-0.1763055460297212, 0.13051491308805874, -0.08557343816444758, 0.0543550963767664, -0.06511607124990913, -0.14251249357156695, -0.0022702160934787445, 0.3052174867010645, -0.27310631533343627, -0.2772824432180133, 0.08816190875899416, -0.2625358906495216, -0.19421903288833076, 0.18132849817629904, -0.05123471676982859, 0.014952947410644703, -0.010163098507966366, 0.06500098172334894, -0.09112517329393535, -0.27312774397370215, 0.3845584561650251, -0.0037725747347639132, 0.2456656861649726, 0.01321681988705951, 0.09033313838724968, 0.018094095246245463, 0.010097403980551227, -0.012019019992333606, -0.12634171474048578, 0.13812922078975906, 0.24598918126757388, 0.06829998328510711, 0.1527730411917512, -0.39779772711617334, -0.19541856374025784, 0.14579745244187234, 0.11254461645148695, 0.06439674404507342, 0.00953215435622961, -0.24791421022226093, 0.05782315587895291, -0.13130741428168582, -0.19588673252722508, -0.06876461214751446, 0.039565720639231625, -0.01525847464349241, -0.2203831540321135, 0.013488741930804505, 0.0618342321212103, 0.09187378346299131, -0.05141219800275247, -0.09152599258889113, -0.08256047080966934, 0.10484975824456146, 0.039720803706391, 0.029340348522690806, 0.04578017086035983, -0.17423449914768038, -0.11881087517355798, 0.3823342331374059, -0.03087007067346525, -0.2086088604078458, 0.14423071195606782, -0.13830258006540438, -0.16423125747060505, 0.12413699067352961, 0.12885357959756769, 0.1410464848496861, -0.05413285080258677, 0.20372846248241702, -0.09931442926397487, 0.14024874713520336, 0.0402772684321208, 0.005780460996433131, 0.22365392629377623, 0.13766067883034827, 0.029636313432767507, 0.13089034563213367, -0.03521536883988207, -0.11882017770161231, -0.37896916326335683, -0.1730134594150924, -0.13151580976542607, 0.09900531558245132, -0.10798029044360768, -0.1836854631421707, 0.4144377376964336, 0.07260174018278297, 0.21222125362199282, 0.048750916952192185, 0.17127818541140646, 0.12873506178248234, 0.05772710763548891, 0.04662486383821615, 0.17241913520590832, 0.18758181073472543, 0.0016735342421358632, -0.22265560071795218, -0.03295487434833601, 0.13925808331909117] |
1,803.0049 | Finite Density Two Color Chiral Perturbation Theory Revisited | We revisit two-color, two-flavor chiral perturbation theory at finite isospin
and baryon density. We investigate the phase diagram obtained varying the
isospin and the baryon chemical potentials, focusing on the phase transition
occurring when the two chemical potentials are equal and exceed the pion mass
(which is degenerate with the diquark mass). In this case, there is a change in
the order parameter of the theory that does not lend itself to the standard
picture of first order transitions. We explore this phase transition both
within a Ginzburg-Landau framework valid in a limited parameter space and then
by inspecting the full chiral Lagrangian in all the accessible parameter space.
Across the phase transition between the two broken phases the order parameter
becomes an $SU(2)$ doublet, with the ground state fixing the expectation value
of the sum of the magnitude squared of the pion and the diquark fields.
Furthermore, we find that the Lagrangian at equal chemical potentials is
invariant under global $SU(2)$ transformations and construct the effective
Lagrangian of the three Goldstone degrees of freedom by integrating out the
radial fluctuations.
| hep-th hep-ph | we revisit twocolor twoflavor chiral perturbation theory at finite isospin and baryon density we investigate the phase diagram obtained varying the isospin and the baryon chemical potentials focusing on the phase transition occurring when the two chemical potentials are equal and exceed the pion mass which is degenerate with the diquark mass in this case there is a change in the order parameter of the theory that does not lend itself to the standard picture of first order transitions we explore this phase transition both within a ginzburglandau framework valid in a limited parameter space and then by inspecting the full chiral lagrangian in all the accessible parameter space across the phase transition between the two broken phases the order parameter becomes an su2 doublet with the ground state fixing the expectation value of the sum of the magnitude squared of the pion and the diquark fields furthermore we find that the lagrangian at equal chemical potentials is invariant under global su2 transformations and construct the effective lagrangian of the three goldstone degrees of freedom by integrating out the radial fluctuations | [['we', 'revisit', 'twocolor', 'twoflavor', 'chiral', 'perturbation', 'theory', 'at', 'finite', 'isospin', 'and', 'baryon', 'density', 'we', 'investigate', 'the', 'phase', 'diagram', 'obtained', 'varying', 'the', 'isospin', 'and', 'the', 'baryon', 'chemical', 'potentials', 'focusing', 'on', 'the', 'phase', 'transition', 'occurring', 'when', 'the', 'two', 'chemical', 'potentials', 'are', 'equal', 'and', 'exceed', 'the', 'pion', 'mass', 'which', 'is', 'degenerate', 'with', 'the', 'diquark', 'mass', 'in', 'this', 'case', 'there', 'is', 'a', 'change', 'in', 'the', 'order', 'parameter', 'of', 'the', 'theory', 'that', 'does', 'not', 'lend', 'itself', 'to', 'the', 'standard', 'picture', 'of', 'first', 'order', 'transitions', 'we', 'explore', 'this', 'phase', 'transition', 'both', 'within', 'a', 'ginzburglandau', 'framework', 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0.09040579717549706] |
1,803.00491 | The Power Mean Laplacian for Multilayer Graph Clustering | Multilayer graphs encode different kind of interactions between the same set
of entities. When one wants to cluster such a multilayer graph, the natural
question arises how one should merge the information different layers. We
introduce in this paper a one-parameter family of matrix power means for
merging the Laplacians from different layers and analyze it in expectation in
the stochastic block model. We show that this family allows to recover ground
truth clusters under different settings and verify this in real world data.
While computing the matrix power mean can be very expensive for large graphs,
we introduce a numerical scheme to efficiently compute its eigenvectors for the
case of large sparse graphs.
| stat.ML cs.LG math.NA | multilayer graphs encode different kind of interactions between the same set of entities when one wants to cluster such a multilayer graph the natural question arises how one should merge the information different layers we introduce in this paper a oneparameter family of matrix power means for merging the laplacians from different layers and analyze it in expectation in the stochastic block model we show that this family allows to recover ground truth clusters under different settings and verify this in real world data while computing the matrix power mean can be very expensive for large graphs we introduce a numerical scheme to efficiently compute its eigenvectors for the case of large sparse graphs | [['multilayer', 'graphs', 'encode', 'different', 'kind', 'of', 'interactions', 'between', 'the', 'same', 'set', 'of', 'entities', 'when', 'one', 'wants', 'to', 'cluster', 'such', 'a', 'multilayer', 'graph', 'the', 'natural', 'question', 'arises', 'how', 'one', 'should', 'merge', 'the', 'information', 'different', 'layers', 'we', 'introduce', 'in', 'this', 'paper', 'a', 'oneparameter', 'family', 'of', 'matrix', 'power', 'means', 'for', 'merging', 'the', 'laplacians', 'from', 'different', 'layers', 'and', 'analyze', 'it', 'in', 'expectation', 'in', 'the', 'stochastic', 'block', 'model', 'we', 'show', 'that', 'this', 'family', 'allows', 'to', 'recover', 'ground', 'truth', 'clusters', 'under', 'different', 'settings', 'and', 'verify', 'this', 'in', 'real', 'world', 'data', 'while', 'computing', 'the', 'matrix', 'power', 'mean', 'can', 'be', 'very', 'expensive', 'for', 'large', 'graphs', 'we', 'introduce', 'a', 'numerical', 'scheme', 'to', 'efficiently', 'compute', 'its', 'eigenvectors', 'for', 'the', 'case', 'of', 'large', 'sparse', 'graphs']] | [-0.10127760217807934, 0.0718986116545765, -0.02770669546985198, 0.09968530946398939, -0.09526943040423487, -0.11931057075822823, 0.030565295157047284, 0.383930777967499, -0.34279555158603836, -0.3219756362306183, 0.07467540385806117, -0.2770610828578866, -0.18761377056178294, 0.14613878341971717, -0.07269860751387712, 0.05859844242743412, 0.11425865456265838, 0.05178779205756687, -0.050883719899789674, -0.24437320891797354, 0.3703755901191024, -0.002837114934727811, 0.28029457548339115, 0.0031947672715320727, 0.10227540349935002, 0.009180555318220797, 0.008910210485561964, 0.037369877818906515, -0.0912421777737332, 0.1421543001079842, 0.2943808033351639, 0.15079255844874864, 0.2798712182659329, -0.45838691826844424, -0.1753989774243612, 0.16957489573069962, 0.11623831733774287, 0.13984210785323134, 0.008396115276570382, -0.24664917606819553, 0.12734042789701275, -0.17918237424537278, -0.08204783643024009, -0.11065379379464216, -0.020368396202429084, -0.010081195464999039, -0.2925827432211423, 0.02398692464799081, 0.027237921945031798, 0.0027421314816660526, 0.006587235255497753, -0.10251341331259985, 0.02995937620493861, 0.18225941735880424, -0.0016634214696016883, -0.04325764345795553, 0.08847189966278772, -0.10119756657769087, -0.1099783861968797, 0.37857637798981414, -0.034340560434206406, -0.21088904853942886, 0.1739329271296268, -0.1139900600588717, -0.19408061426018544, 0.056419099125553644, 0.21631701628824598, 0.12766924514762013, -0.1469325775127672, 0.0694061885822744, -0.08251627843434874, 0.14872157447889708, 0.061716229834577495, 0.009548111602749773, 0.1698976054199432, 0.1291357050629398, 0.0924383490509762, 0.20178011761010184, -0.05410767412385005, -0.11078280101023745, -0.22304536196354188, -0.1442653263118445, -0.2210501187987495, 0.03758079839845825, -0.1690264851650889, -0.19181096441063442, 0.43481439623987206, 0.1816517350533487, 0.24260936161552213, 0.0873623781739489, 0.27036706482166456, 0.08084657336414175, 0.07110843525202781, 0.10536641723439588, 0.15597512296057844, 0.11016844095061779, 0.08351387802650335, -0.14231825260273917, 0.050961447947070394, 0.05605836834129469] |
1,803.00492 | Genaue modellbasierte Identifikation von gyn\"akologischen
Katheterpfaden f\"ur die MRT-bildgest\"utzte Brachytherapie | German text, english abstract: Mortality in gynecologic cancers, including
cervical, ovarian, vaginal and vulvar cancers, is more than 6% internationally
[1]. In many countries external radiotherapy is supplemented by brachytherapy
with high locally administered doses as standard. The superior ability of
magnetic resonance imaging (MRI) to differentiate soft tissue has led to an
increasing use of this imaging technique in the intraoperative planning and
implementation of brachytherapy. A technical challenge associated with the use
of MRI imaging for brachytherapy - in contrast to computed tomography (CT)
imaging - is the dark-diffuse appearance and thus difficult identification of
the catheter paths in the resulting images. This problem is addressed by the
precise method described herein of tracing the catheters from the catheter tip.
The average identification time for a single catheter path was three seconds on
a standard PC. Segmentation time, accuracy and precision are promising
indicators of the value of this method for the clinical application of
image-guided gynecological brachytherapy. After surgery (OP), the healthy
surrounding tissue of the tumor is usually irradiated. This reduces the risk of
leaving behind residual cells that would likely cause a recurrence of the
cancer or the formation of metastases - secondary tumors elsewhere in the body.
In the case of a tumor on the cervix or prostate, the operation is minimally
invasive, ie. the removal of the cancer and the irradiation are performed
cost-effectively and risk-avoiding by keyhole surgery instead of open surgery.
| physics.med-ph cs.CV | german text english abstract mortality in gynecologic cancers including cervical ovarian vaginal and vulvar cancers is more than 6 internationally 1 in many countries external radiotherapy is supplemented by brachytherapy with high locally administered doses as standard the superior ability of magnetic resonance imaging mri to differentiate soft tissue has led to an increasing use of this imaging technique in the intraoperative planning and implementation of brachytherapy a technical challenge associated with the use of mri imaging for brachytherapy in contrast to computed tomography ct imaging is the darkdiffuse appearance and thus difficult identification of the catheter paths in the resulting images this problem is addressed by the precise method described herein of tracing the catheters from the catheter tip the average identification time for a single catheter path was three seconds on a standard pc segmentation time accuracy and precision are promising indicators of the value of this method for the clinical application of imageguided gynecological brachytherapy after surgery op the healthy surrounding tissue of the tumor is usually irradiated this reduces the risk of leaving behind residual cells that would likely cause a recurrence of the cancer or the formation of metastases secondary tumors elsewhere in the body in the case of a tumor on the cervix or prostate the operation is minimally invasive ie the removal of the cancer and the irradiation are performed costeffectively and riskavoiding by keyhole surgery instead of open surgery | [['german', 'text', 'english', 'abstract', 'mortality', 'in', 'gynecologic', 'cancers', 'including', 'cervical', 'ovarian', 'vaginal', 'and', 'vulvar', 'cancers', 'is', 'more', 'than', '6', 'internationally', '1', 'in', 'many', 'countries', 'external', 'radiotherapy', 'is', 'supplemented', 'by', 'brachytherapy', 'with', 'high', 'locally', 'administered', 'doses', 'as', 'standard', 'the', 'superior', 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1,803.00493 | Backward Euler Approximations for Conservation Laws with Discontinuous
Flux | Solutions to a class of conservation laws with discontinuous flux are
constructed relying on the Crandall-Liggett theory of nonlinear contractive
semigroups~\cite{CL}. In particular, the paper studies the existence of
backward Euler approximations, and their convergence to a unique
entropy-admissible solution to the Cauchy problem. The proofs are achieved
through the study of the backward Euler approximations to the viscous
conservation laws.
| math.AP | solutions to a class of conservation laws with discontinuous flux are constructed relying on the crandallliggett theory of nonlinear contractive semigroupscitecl in particular the paper studies the existence of backward euler approximations and their convergence to a unique entropyadmissible solution to the cauchy problem the proofs are achieved through the study of the backward euler approximations to the viscous conservation laws | [['solutions', 'to', 'a', 'class', 'of', 'conservation', 'laws', 'with', 'discontinuous', 'flux', 'are', 'constructed', 'relying', 'on', 'the', 'crandallliggett', 'theory', 'of', 'nonlinear', 'contractive', 'semigroupscitecl', 'in', 'particular', 'the', 'paper', 'studies', 'the', 'existence', 'of', 'backward', 'euler', 'approximations', 'and', 'their', 'convergence', 'to', 'a', 'unique', 'entropyadmissible', 'solution', 'to', 'the', 'cauchy', 'problem', 'the', 'proofs', 'are', 'achieved', 'through', 'the', 'study', 'of', 'the', 'backward', 'euler', 'approximations', 'to', 'the', 'viscous', 'conservation', 'laws']] | [-0.16258113622424683, 0.013078441819712773, -0.12643834194010597, 0.07040660637746549, -0.10440453804903112, -0.10727178466395806, 0.006774153931350526, 0.26568333567830466, -0.32739154767181916, -0.23870134757736983, 0.13676454508933633, -0.2935612812180514, -0.09548094603469816, 0.1759291509071649, -0.053693337855323896, 0.15204388073692887, 0.05069066619824113, -0.05801825987774942, -0.12640394294887022, -0.1925079848427894, 0.37580025291575464, -0.004794035667269412, 0.26457797287631846, 0.02452294561633114, 0.17137363161575997, -0.08464245087767051, -0.05447302823412722, 0.034266685451365124, -0.17192889725931493, 0.1173378453270327, 0.23965371907215124, 0.058243528474122286, 0.30374554415249216, -0.44453470743561196, -0.19439217389829583, 0.10929019392617995, 0.12805749267986896, 0.09073460834511256, -0.0492296972868459, -0.2818976102270565, 0.12810867589156508, -0.10266686423476469, -0.18746847198423694, -0.07573345095171767, -0.02626092176316148, 0.13990915582073316, -0.25596949808552105, 0.08641972613000011, 0.11780999610358375, 0.03455550115855442, -0.1152316410631194, -0.039835109280706466, -0.04437187973851875, 0.07332357347516691, 0.13614398059514116, -0.058265920416688766, 0.030087926756527463, -0.14988720806915376, -0.12487072076932607, 0.3733547950573897, -0.05064723640680313, -0.33506929539775443, 0.18489747000384635, -0.12845847010612488, -0.1014602147989859, 0.15734979863894188, 0.18414415826358027, 0.1898856356392725, -0.15282220353956444, 0.08690845006504648, -0.06974593298194015, 0.07885911874867724, 0.06723342505993984, -0.014847988499549486, 0.10397531297373569, 0.1118400207902226, 0.10920245456903921, 0.0807403675596214, -0.0012882346629216415, -0.1967740466155238, -0.3620018582096544, -0.15416154797362575, -0.1444066796704369, 0.09910503285542382, -0.07724508632865332, -0.22315325764781338, 0.36621052119091657, 0.09762731150297796, 0.0954384761152126, 0.15635099605325672, 0.2612056146549471, 0.23651931916316182, -0.019466253917001314, 0.07671092512180745, 0.2439721076259926, 0.20088673580706246, 0.18503867135525254, -0.24231270290378448, 0.04687222317492558, 0.2253630212271365] |
1,803.00494 | Robust Repeated Auctions under Heterogeneous Buyer Behavior | We study revenue optimization in a repeated auction between a single seller
and a single buyer. Traditionally, the design of repeated auctions requires
strong modeling assumptions about the bidder behavior, such as it being myopic,
infinite lookahead, or some specific form of learning behavior. Is it possible
to design mechanisms which are simultaneously optimal against a multitude of
possible buyer behaviors? We answer this question by designing a simple
state-based mechanism that is simultaneously approximately optimal against a
$k$-lookahead buyer for all $k$, a buyer who is a no-regret learner, and a
buyer who is a policy-regret learner. Against each type of buyer our mechanism
attains a constant fraction of the optimal revenue attainable against that type
of buyer. We complement our positive results with almost tight impossibility
results, showing that the revenue approximation tradeoffs achieved by our
mechanism for different lookahead attitudes are near-optimal.
| cs.GT | we study revenue optimization in a repeated auction between a single seller and a single buyer traditionally the design of repeated auctions requires strong modeling assumptions about the bidder behavior such as it being myopic infinite lookahead or some specific form of learning behavior is it possible to design mechanisms which are simultaneously optimal against a multitude of possible buyer behaviors we answer this question by designing a simple statebased mechanism that is simultaneously approximately optimal against a klookahead buyer for all k a buyer who is a noregret learner and a buyer who is a policyregret learner against each type of buyer our mechanism attains a constant fraction of the optimal revenue attainable against that type of buyer we complement our positive results with almost tight impossibility results showing that the revenue approximation tradeoffs achieved by our mechanism for different lookahead attitudes are nearoptimal | [['we', 'study', 'revenue', 'optimization', 'in', 'a', 'repeated', 'auction', 'between', 'a', 'single', 'seller', 'and', 'a', 'single', 'buyer', 'traditionally', 'the', 'design', 'of', 'repeated', 'auctions', 'requires', 'strong', 'modeling', 'assumptions', 'about', 'the', 'bidder', 'behavior', 'such', 'as', 'it', 'being', 'myopic', 'infinite', 'lookahead', 'or', 'some', 'specific', 'form', 'of', 'learning', 'behavior', 'is', 'it', 'possible', 'to', 'design', 'mechanisms', 'which', 'are', 'simultaneously', 'optimal', 'against', 'a', 'multitude', 'of', 'possible', 'buyer', 'behaviors', 'we', 'answer', 'this', 'question', 'by', 'designing', 'a', 'simple', 'statebased', 'mechanism', 'that', 'is', 'simultaneously', 'approximately', 'optimal', 'against', 'a', 'klookahead', 'buyer', 'for', 'all', 'k', 'a', 'buyer', 'who', 'is', 'a', 'noregret', 'learner', 'and', 'a', 'buyer', 'who', 'is', 'a', 'policyregret', 'learner', 'against', 'each', 'type', 'of', 'buyer', 'our', 'mechanism', 'attains', 'a', 'constant', 'fraction', 'of', 'the', 'optimal', 'revenue', 'attainable', 'against', 'that', 'type', 'of', 'buyer', 'we', 'complement', 'our', 'positive', 'results', 'with', 'almost', 'tight', 'impossibility', 'results', 'showing', 'that', 'the', 'revenue', 'approximation', 'tradeoffs', 'achieved', 'by', 'our', 'mechanism', 'for', 'different', 'lookahead', 'attitudes', 'are', 'nearoptimal']] | [-0.13228163066095375, 0.011338585479986958, -0.07444695966680431, 0.09537453873700644, -0.17228000412190644, -0.32278507505866905, 0.23167029133118275, 0.45723951923557454, -0.2968817410680155, -0.28423927001333343, 0.060492264448839705, -0.28741410511752796, -0.16126840457662991, 0.15240362066510393, -0.12572495089908545, 0.03685352625567854, 0.05915357784801421, 0.020935813907676168, 0.07709811237630977, -0.3429640720051894, 0.2976301438175142, 0.08346968791253555, 0.2690031903200886, -0.0018686345914223541, 0.11262235200011775, 0.009086690500326868, 0.0761745813841925, 0.026270301553368982, -0.12012676964428061, 0.07977639059309796, 0.3188750246287479, 0.17939869111998835, 0.4423384922556579, -0.3591014159707508, -0.12212798446934256, 0.1286159032897558, 0.047273791065284364, 0.07427553546262465, -0.09377802579547279, -0.19226020279004136, 0.11207600486361319, -0.2067919351005306, -0.036365204827032156, -0.05904676576028578, -0.03689197212063138, 0.004472140981104328, -0.41321662680194193, -0.05132561885208512, 0.08446478226687759, 0.003737873113196757, -0.09218031795009868, -0.10416144694964816, 0.022897100392987743, 0.1627461266163866, 0.10900183675104497, -0.014982531291833665, 0.1458213372906256, -0.14133029354626261, -0.2389122054802202, 0.36748445429839194, -0.038786816488330565, -0.17082025590611416, 0.10204591975262803, -0.08154833364500923, -0.0879855922184005, 0.1305061102159218, 0.155079872528505, 0.15250737915953827, -0.15000182109522736, 0.030091762001878426, -0.1564929629287993, 0.1847275844912575, 0.09530983340422002, 0.03904372756692788, 0.16264255903176186, 0.18166416826028986, 0.14837863468953097, 0.09932978740350033, 0.09597784222892693, -0.145350014591208, -0.27403584633268313, -0.11912462389833915, -0.15240495760695516, 0.11812726991289917, -0.133683268394533, -0.11834925958020096, 0.36186307409500135, 0.09986559247136029, 0.16290598106570542, 0.13857449478705852, 0.3401048284657817, 0.06019382196892467, -0.008000309231445298, 0.13880212870329464, 0.20464965202882013, -0.04925985691564468, 0.08051135561011809, -0.18513725571230882, 0.22435908957656162, 0.007249511493783858] |
1,803.00495 | An asymptotic formula for the $2k$-th power mean value of $\left|
(L'/L)(1+it_0, \chi)\right|$ | Let $q$ be a positive integer ($\geq 2$), $\chi$ be a Dirichlet character
modulo $q$, $L(s, \chi)$ be the attached Dirichlet $L$-function, and let
$L^\prime(s, \chi)$ denote its derivative with respect to the complex variable
$s$. Let $t_0$ be any fixed real number. The main purpose of this paper is to
give an asymptotic formula for the $2k$-th power mean value of
$\left|(L^\prime/L)(1+it_0, \chi)\right|$ when $\chi$ runs over all Dirichlet
characters modulo $q$ (except the principal character when $t_0=0$).
| math.NT | let q be a positive integer geq 2 chi be a dirichlet character modulo q ls chi be the attached dirichlet lfunction and let lprimes chi denote its derivative with respect to the complex variable s let t_0 be any fixed real number the main purpose of this paper is to give an asymptotic formula for the 2kth power mean value of leftlprimel1it_0 chiright when chi runs over all dirichlet characters modulo q except the principal character when t_00 | [['let', 'q', 'be', 'a', 'positive', 'integer', 'geq', '2', 'chi', 'be', 'a', 'dirichlet', 'character', 'modulo', 'q', 'ls', 'chi', 'be', 'the', 'attached', 'dirichlet', 'lfunction', 'and', 'let', 'lprimes', 'chi', 'denote', 'its', 'derivative', 'with', 'respect', 'to', 'the', 'complex', 'variable', 's', 'let', 't_0', 'be', 'any', 'fixed', 'real', 'number', 'the', 'main', 'purpose', 'of', 'this', 'paper', 'is', 'to', 'give', 'an', 'asymptotic', 'formula', 'for', 'the', '2kth', 'power', 'mean', 'value', 'of', 'leftlprimel1it_0', 'chiright', 'when', 'chi', 'runs', 'over', 'all', 'dirichlet', 'characters', 'modulo', 'q', 'except', 'the', 'principal', 'character', 'when', 't_00']] | [-0.21915015152522496, 0.13400296356405023, -0.1146726362428374, -0.0428969312531801, -0.13459976059505596, -0.2235206897467278, -0.024410356161208797, 0.23887321077190438, -0.33249091757340477, -0.23419826892703505, 0.06951990926958766, -0.3015662477436391, -0.04526951402280625, 0.19253287027142457, -0.049670019053987095, -0.03784582185235431, 0.032433141104562524, 0.22766907670982667, -0.0668705381186945, -0.29032784700393677, 0.3139023777421007, -0.059934717300650364, 0.11548025657682885, 0.008107263061169583, 0.028431806150920592, 0.031203263223038187, 0.08909269510586927, -0.08363203037312472, -0.16258218399454633, 0.08035072263983356, 0.302636441671858, -0.0032821303088363114, 0.2770781932918766, -0.3215939919675954, -0.11320353700936615, 0.3361917217020187, 0.13704174656009713, -0.16431081186157542, 0.12872369099988953, -0.23335086900208676, 0.23445143943271515, -0.16620175844336582, -0.16065234958206293, -0.0672457070126162, 0.13741025358873915, 0.020092979386485146, -0.40691035913376067, 0.0530116113701037, 0.09213328520561774, 0.15592895639310408, -0.10465504284252643, -0.2614878240440573, 0.019540244356620235, 0.01733781337245162, 0.07045028052389525, 0.12701960870627216, 0.005138431137500258, -0.11898006650909491, -0.06252326249173697, 0.3422622655869111, -0.0840854515115936, -0.25181359710631435, 0.013861300230219767, -0.22501069723096276, -0.0856833289462057, 0.10494981185568919, 0.1027706621408269, 0.18461968061550485, 0.04153032233604448, 0.25204464516151914, -0.07668451456558685, 0.18135763346761852, 0.10987847748321372, -0.1222993205120037, 0.208991369801005, -0.007590588575301619, 0.04755757767223306, 0.17827351711835568, -0.04825316142145689, 0.04427766715865824, -0.3917261502257996, -0.21702169345135425, -0.23878572575366971, 0.18940792088820177, -0.18927956019303696, -0.1537744293061944, 0.34546304837643327, 0.06771118912313666, 0.20378243279728023, 0.1671858536829422, 0.1939725846826256, 0.22284569896080278, -0.0020710067013157652, 0.08577586659048865, -0.0584647488695654, 0.19862593937810366, -0.0262301141689471, -0.20373971725801948, 0.05955553366863108, 0.125602088868618] |
1,803.00496 | Glassy dynamics of dense particle assemblies on a spherical substrate | We study by Molecular Dynamics simulation a dense one-component system of
particles confined on a spherical substrate. We more specifically investigate
the evolution of the structural and dynamical properties of the system when
changing the control parameters, the temperature and the curvature of the
substrate. We find that the dynamics becomes glassy at low temperature, with a
strong slowdown of the relaxation and the emergence of dynamical heterogeneity.
The prevalent local $6$-fold order is frustrated by curvature and we analyze in
detail the role of the topological defects in the statics and the dynamics of
the particle assembly.
| cond-mat.soft cond-mat.stat-mech | we study by molecular dynamics simulation a dense onecomponent system of particles confined on a spherical substrate we more specifically investigate the evolution of the structural and dynamical properties of the system when changing the control parameters the temperature and the curvature of the substrate we find that the dynamics becomes glassy at low temperature with a strong slowdown of the relaxation and the emergence of dynamical heterogeneity the prevalent local 6fold order is frustrated by curvature and we analyze in detail the role of the topological defects in the statics and the dynamics of the particle assembly | [['we', 'study', 'by', 'molecular', 'dynamics', 'simulation', 'a', 'dense', 'onecomponent', 'system', 'of', 'particles', 'confined', 'on', 'a', 'spherical', 'substrate', 'we', 'more', 'specifically', 'investigate', 'the', 'evolution', 'of', 'the', 'structural', 'and', 'dynamical', 'properties', 'of', 'the', 'system', 'when', 'changing', 'the', 'control', 'parameters', 'the', 'temperature', 'and', 'the', 'curvature', 'of', 'the', 'substrate', 'we', 'find', 'that', 'the', 'dynamics', 'becomes', 'glassy', 'at', 'low', 'temperature', 'with', 'a', 'strong', 'slowdown', 'of', 'the', 'relaxation', 'and', 'the', 'emergence', 'of', 'dynamical', 'heterogeneity', 'the', 'prevalent', 'local', '6fold', 'order', 'is', 'frustrated', 'by', 'curvature', 'and', 'we', 'analyze', 'in', 'detail', 'the', 'role', 'of', 'the', 'topological', 'defects', 'in', 'the', 'statics', 'and', 'the', 'dynamics', 'of', 'the', 'particle', 'assembly']] | [-0.1664169967229174, 0.19365898141523405, -0.08680734027186598, 0.044658371110741356, 0.0286595861413231, -0.05644765206165992, 0.011521962176704285, 0.34514296377952003, -0.28540676712457624, -0.274305721972974, 0.09377792056374328, -0.2565903501556616, -0.19655955692144986, 0.10577169301734325, 0.044116512306238885, 0.024167328483748193, -0.015730927318182528, -0.006379421783744225, -0.08753303703329317, -0.20349359969199843, 0.33702938638779584, 0.07228821588737168, 0.26442427171052113, 0.07899135934207968, 0.08217850484296071, 0.017554557511620984, 0.0598109809952617, 0.05826630699923452, -0.20039864767579496, 0.08790364370168167, 0.1270997445764286, 0.006954117796896976, 0.23553927249408194, -0.4577850339249993, -0.24499025255707757, 0.07043497791817906, 0.10537404782727969, 0.1235568944782931, -0.06874404484670424, -0.24963463276472628, 0.054680209160231204, -0.10424172161717196, -0.15650512920502496, -0.0650986765430556, 0.008254568634212625, 0.04468924359522988, -0.18871256691517727, 0.12204565747393942, 0.07995397761661312, 0.09997167161722877, -0.08281837845796111, -0.023930545114646002, -0.06823905995258187, 0.1323431779013362, 0.027203805134061496, -0.022965828396322926, 0.21254324274403708, -0.18382308883319268, -0.06662854315755813, 0.4241505937308681, -0.05576589595816307, -0.16026938760092443, 0.24812418392536287, -0.17372492717921126, -0.11242616081097144, 0.14421175376093964, 0.19525821309308616, 0.09762864494791293, -0.12455645143556318, 0.08577895372582134, 0.0015352858819675688, 0.19241219690088562, -0.0029975425413980776, 0.030149220978385027, 0.22758867658617699, 0.24515665722393185, 0.04924930189261023, 0.20562388234277618, -0.1159495072545037, -0.1648722829781853, -0.23902085083251706, -0.1753553974024039, -0.1612774086450892, 0.04202162454436932, -0.12409264452168028, -0.16444524725880094, 0.43044811107541375, 0.12679127192276776, 0.1965397238037644, 0.004641402199180151, 0.26055420792485795, 0.08232952318420368, 0.015394544390467356, 0.04834940626609082, 0.24524764670296667, 0.1519126320419339, 0.10654078857802159, -0.34807484625952734, 0.06280737534897136, 0.014665878059197578] |
1,803.00497 | Graph Based Proactive Secure Decomposition Algorithm for Context
Dependent Attribute Based Inference Control Problem | Relational DBMSs continue to dominate the database market, and inference
problem on external schema of relational DBMS's is still an important issue in
terms of data privacy.Especially for the last 10 years, external schema
construction for application-specific database usage has increased its
independency from the conceptual schema, as the definitions and implementations
of views and procedures have been optimized. This paper offers an optimized
decomposition strategy for the external schema, which concentrates on the
privacy policy and required associations of attributes for the intended user
roles. The method proposed in this article performs a proactive decomposition
of the external schema, in order to satisfy both the forbidden and required
associations of attributes.Functional dependency constraints of a database
schema can be represented as a graph, in which vertices are attribute sets and
edges are functional dependencies. In this representation, inference problem
can be defined as a process of searching a subtree in the dependency graph
containing the attributes that need to be related. The optimized decomposition
process aims to generate an external schema, which guarantees the prevention of
the inference of the forbidden attribute sets while guaranteeing the
association of the required attribute sets with a minimal loss of possible
association among other attributes, if the inhibited and required attribute
sets are consistent with each other. Our technique is purely proactive, and can
be viewed as a normalization process. Due to the usage independency of external
schema construction tools, it can be easily applied to any existing systems
without rewriting data access layer of applications. Our extensive experimental
analysis shows the effectiveness of this optimized proactive strategy for a
wide variety of logical schema volumes.
| cs.DB | relational dbmss continue to dominate the database market and inference problem on external schema of relational dbmss is still an important issue in terms of data privacyespecially for the last 10 years external schema construction for applicationspecific database usage has increased its independency from the conceptual schema as the definitions and implementations of views and procedures have been optimized this paper offers an optimized decomposition strategy for the external schema which concentrates on the privacy policy and required associations of attributes for the intended user roles the method proposed in this article performs a proactive decomposition of the external schema in order to satisfy both the forbidden and required associations of attributesfunctional dependency constraints of a database schema can be represented as a graph in which vertices are attribute sets and edges are functional dependencies in this representation inference problem can be defined as a process of searching a subtree in the dependency graph containing the attributes that need to be related the optimized decomposition process aims to generate an external schema which guarantees the prevention of the inference of the forbidden attribute sets while guaranteeing the association of the required attribute sets with a minimal loss of possible association among other attributes if the inhibited and required attribute sets are consistent with each other our technique is purely proactive and can be viewed as a normalization process due to the usage independency of external schema construction tools it can be easily applied to any existing systems without rewriting data access layer of applications our extensive experimental analysis shows the effectiveness of this optimized proactive strategy for a wide variety of logical schema volumes | [['relational', 'dbmss', 'continue', 'to', 'dominate', 'the', 'database', 'market', 'and', 'inference', 'problem', 'on', 'external', 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1,803.00498 | A proof of a sumset conjecture of Erd\H{o}s | In this paper we show that every set $A \subset \mathbb{N}$ with positive
density contains $B+C$ for some pair $B,C$ of infinite subsets of $\mathbb{N}$,
settling a conjecture of Erd\H{o}s. The proof features two different
decompositions of an arbitrary bounded sequence into a structured component and
a pseudo-random component. Our methods are quite general, allowing us to prove
a version of this conjecture for countable amenable groups.
| math.CO math.DS | in this paper we show that every set a subset mathbbn with positive density contains bc for some pair bc of infinite subsets of mathbbn settling a conjecture of erdhos the proof features two different decompositions of an arbitrary bounded sequence into a structured component and a pseudorandom component our methods are quite general allowing us to prove a version of this conjecture for countable amenable groups | [['in', 'this', 'paper', 'we', 'show', 'that', 'every', 'set', 'a', 'subset', 'mathbbn', 'with', 'positive', 'density', 'contains', 'bc', 'for', 'some', 'pair', 'bc', 'of', 'infinite', 'subsets', 'of', 'mathbbn', 'settling', 'a', 'conjecture', 'of', 'erdhos', 'the', 'proof', 'features', 'two', 'different', 'decompositions', 'of', 'an', 'arbitrary', 'bounded', 'sequence', 'into', 'a', 'structured', 'component', 'and', 'a', 'pseudorandom', 'component', 'our', 'methods', 'are', 'quite', 'general', 'allowing', 'us', 'to', 'prove', 'a', 'version', 'of', 'this', 'conjecture', 'for', 'countable', 'amenable', 'groups']] | [-0.17715468092251624, 0.12319095662569995, -0.1341828211530376, 0.03376077565559144, -0.05830647307448089, -0.14679543967984282, 0.026935472128801603, 0.33506927394600056, -0.29236367243383804, -0.21018172122204482, 0.08705279804286617, -0.27321543548005955, -0.08957636554433561, 0.1840506298823713, -0.0981425631985958, 0.0024771903408691287, 0.10741513899402387, 0.05720506055252766, -0.026116425640630856, -0.2989558318713263, 0.34382910966706365, -0.13780712314061264, 0.2023325282524326, 0.05937896914946944, 0.09129163826496076, 0.0037162460233849375, -0.04596622523837792, 0.03311660318677105, -0.1410335417209869, 0.16045414258156027, 0.2708839673632339, 0.1855988269637047, 0.33446002643166195, -0.34195721967262216, -0.18867533587947932, 0.19731137006362873, 0.14367608280953215, 0.07782507852873584, -0.06108575706620381, -0.24969196355720955, 0.14764687919349812, -0.18575222448814216, -0.15169965947714092, -0.024416682435505425, 0.09486711016897835, -0.006926184937135497, -0.35684683150264307, -0.01633389087727488, 0.1695832115278315, 0.06841637465908233, -0.04811127838303349, -0.12214652711435207, 0.018930175459818607, 0.10701855939965862, -0.019712668635062318, 0.06170632318357256, 0.009330334905500231, -0.015346932339172727, -0.11564996806598866, 0.3411342019298628, -0.05796205050854096, -0.21286703097119705, 0.15055194841836816, -0.1324606564646559, -0.2532023683037442, 0.10334528155569266, 0.10960988844953366, 0.15439258718779728, -0.058393744682309345, 0.11863037689376983, -0.1737185409101449, 0.16245211952769045, 0.12889093599184903, 0.02080692078852192, 0.1702727624145684, 0.08394141201930705, 0.11962612116459145, 0.19378094850525038, 0.035965617329104624, -0.012321729435404735, -0.32896718654239465, -0.15136270184737088, -0.16254155853165508, 0.10877110456019196, -0.1197535200667856, -0.25295448318860536, 0.38116381935942084, 0.08802996315896067, 0.1899264251340681, 0.17950525614363488, 0.23482792664652885, 0.05028820550090932, -0.01423269727809438, 0.10665339406287826, 0.023984741970788995, 0.212185233928708, -0.026455039679726112, -0.10185893897467585, 0.037147394749822454, 0.13994132981478383] |
1,803.00499 | Stochastic dynamical low-rank approximation method | In this paper, we extend the dynamical low-rank approximation method to the
space of finite signed measures. Under this framework, we derive stochastic
low-rank dynamics for stochastic differential equations (SDEs) coming from
classical stochastic dynamics or unraveling of Lindblad quantum master
equations. We justify the proposed method by error analysis and also numerical
examples for applications in solving high-dimensional SDE, stochastic Burgers'
equation, and high-dimensional Lindblad equation.
| math.NA | in this paper we extend the dynamical lowrank approximation method to the space of finite signed measures under this framework we derive stochastic lowrank dynamics for stochastic differential equations sdes coming from classical stochastic dynamics or unraveling of lindblad quantum master equations we justify the proposed method by error analysis and also numerical examples for applications in solving highdimensional sde stochastic burgers equation and highdimensional lindblad equation | [['in', 'this', 'paper', 'we', 'extend', 'the', 'dynamical', 'lowrank', 'approximation', 'method', 'to', 'the', 'space', 'of', 'finite', 'signed', 'measures', 'under', 'this', 'framework', 'we', 'derive', 'stochastic', 'lowrank', 'dynamics', 'for', 'stochastic', 'differential', 'equations', 'sdes', 'coming', 'from', 'classical', 'stochastic', 'dynamics', 'or', 'unraveling', 'of', 'lindblad', 'quantum', 'master', 'equations', 'we', 'justify', 'the', 'proposed', 'method', 'by', 'error', 'analysis', 'and', 'also', 'numerical', 'examples', 'for', 'applications', 'in', 'solving', 'highdimensional', 'sde', 'stochastic', 'burgers', 'equation', 'and', 'highdimensional', 'lindblad', 'equation']] | [-0.09185769178195675, -0.03846808310264527, -0.10957523162907629, 0.11017310350730236, -0.09431917470560144, -0.13715430101164297, -0.002221078669249233, 0.26732385273911613, -0.37308090093976526, -0.22318847487166302, 0.09919144487557516, -0.25231857339281644, -0.26758391898361716, 0.21716635558865408, -0.08564817382773357, 0.1898843733899629, 0.1034106616236603, -0.0625371048365956, -0.10790667307577026, -0.2536105088083379, 0.3453129436542739, -0.035845029232120004, 0.18163416191323925, -0.08051743896751067, 0.24790605142323383, -0.014745972734361665, -0.0531779559982468, -0.01481269952648236, -0.1529187882569299, 0.09565775858154937, 0.29049126928978003, 0.10965309898827726, 0.3630222460227226, -0.47697201225239394, -0.2344166159754925, 0.09796852216736149, 0.1586407491947705, 0.21065224601484056, -0.042395072384501124, -0.3893192314417727, 0.024199607768165533, -0.15615233793548905, -0.17689893592788436, -0.17452534411880952, -0.04818503664278272, 0.05699150069658436, -0.2866567394404269, 0.16537057655236212, 0.08956900516085313, 0.007947585058968459, -0.09330082712556, -0.09457719559544947, 0.06714119014344108, -0.0014374728293728028, 0.007541314233094454, -0.06653207368842924, 0.10366297712716371, -0.0651425401290962, -0.15186228643435595, 0.31087724678218365, -0.11857773630997973, -0.3440860063949628, 0.1199675509845143, -0.13442036496308535, -0.1646363873298822, 0.15198085928307986, 0.2738581056942913, 0.1498321724304957, -0.27372448174143904, 0.16224651536452514, -0.029697332517313425, 0.06990790139160939, 0.013684739622829565, -0.028186792744073406, 0.018364126557734475, 0.18173947794112696, 0.10063797278579936, 0.09956993802047487, -0.016412906508559165, -0.2796722754502474, -0.3198977063076376, -0.12070871957702868, -0.15902423294288898, 0.1000811701115749, -0.1669482397981537, -0.16817029654534896, 0.3306343548708776, 0.20452109791265466, 0.09642464545235704, 0.0859230882974703, 0.31539628615797455, 0.2544636820345672, -0.10740612942113806, 0.1209107462539157, 0.13090865828319273, 0.27073814974639066, 0.129782476733046, -0.28632693791609093, 0.040887206445322996, 0.18415414897808388] |
1,803.005 | Natural data structure extracted from neighborhood-similarity graphs | 'Big' high-dimensional data are commonly analyzed in low-dimensions, after
performing a dimensionality-reduction step that inherently distorts the data
structure. For the same purpose, clustering methods are also often used. These
methods also introduce a bias, either by starting from the assumption of a
particular geometric form of the clusters, or by using iterative schemes to
enhance cluster contours, with uncontrollable consequences. The goal of data
analysis should, however, be to encode and detect structural data features at
all scales and densities simultaneously, without assuming a parametric form of
data point distances, or modifying them. We propose a novel approach that
directly encodes data point neighborhood similarities as a sparse graph. Our
non-iterative framework permits a transparent interpretation of data, without
altering the original data dimension and metric. Several natural and synthetic
data applications demonstrate the efficacy of our novel approach.
| stat.ML cond-mat.dis-nn cs.CV cs.LG | big highdimensional data are commonly analyzed in lowdimensions after performing a dimensionalityreduction step that inherently distorts the data structure for the same purpose clustering methods are also often used these methods also introduce a bias either by starting from the assumption of a particular geometric form of the clusters or by using iterative schemes to enhance cluster contours with uncontrollable consequences the goal of data analysis should however be to encode and detect structural data features at all scales and densities simultaneously without assuming a parametric form of data point distances or modifying them we propose a novel approach that directly encodes data point neighborhood similarities as a sparse graph our noniterative framework permits a transparent interpretation of data without altering the original data dimension and metric several natural and synthetic data applications demonstrate the efficacy of our novel approach | [['big', 'highdimensional', 'data', 'are', 'commonly', 'analyzed', 'in', 'lowdimensions', 'after', 'performing', 'a', 'dimensionalityreduction', 'step', 'that', 'inherently', 'distorts', 'the', 'data', 'structure', 'for', 'the', 'same', 'purpose', 'clustering', 'methods', 'are', 'also', 'often', 'used', 'these', 'methods', 'also', 'introduce', 'a', 'bias', 'either', 'by', 'starting', 'from', 'the', 'assumption', 'of', 'a', 'particular', 'geometric', 'form', 'of', 'the', 'clusters', 'or', 'by', 'using', 'iterative', 'schemes', 'to', 'enhance', 'cluster', 'contours', 'with', 'uncontrollable', 'consequences', 'the', 'goal', 'of', 'data', 'analysis', 'should', 'however', 'be', 'to', 'encode', 'and', 'detect', 'structural', 'data', 'features', 'at', 'all', 'scales', 'and', 'densities', 'simultaneously', 'without', 'assuming', 'a', 'parametric', 'form', 'of', 'data', 'point', 'distances', 'or', 'modifying', 'them', 'we', 'propose', 'a', 'novel', 'approach', 'that', 'directly', 'encodes', 'data', 'point', 'neighborhood', 'similarities', 'as', 'a', 'sparse', 'graph', 'our', 'noniterative', 'framework', 'permits', 'a', 'transparent', 'interpretation', 'of', 'data', 'without', 'altering', 'the', 'original', 'data', 'dimension', 'and', 'metric', 'several', 'natural', 'and', 'synthetic', 'data', 'applications', 'demonstrate', 'the', 'efficacy', 'of', 'our', 'novel', 'approach']] | [-0.057066449474950785, 0.015337126988119313, -0.12226411818327117, 0.08993362939384367, -0.12410590456233227, -0.12232833368969816, 0.07235470643666174, 0.39918668205583735, -0.3061996789316514, -0.33406088758326535, 0.11958160896735665, -0.2601768140548042, -0.170241772657859, 0.18468172354956292, -0.05563755047374538, 0.06590624125674367, 0.11509812137373956, 0.0192251856272508, -0.08631636863574385, -0.21003005374992167, 0.3619385412761143, 0.050475854439927, 0.3305017631900098, -0.01992461178202315, 0.10622218781666432, 0.019461681404417116, -0.06873147352598608, 0.048043644810760656, -0.06516506509059192, 0.15226996400867523, 0.26087426281301307, 0.18606230496994353, 0.2810066030377389, -0.44550291797412295, -0.2393805489542761, 0.10033562440824295, 0.13258588522522977, 0.1461354807632493, -0.06020140081777104, -0.29385606119675295, 0.10180380413574831, -0.09995042117911258, -0.1095589575507412, -0.14550296461467432, -0.03839137841215623, 0.0015482655293973429, -0.2889488284405421, 0.07274538268227064, 0.058829181252180465, 0.052639988513796455, -0.03377392889732229, -0.08915962668667947, -0.003976300708018243, 0.12923092099289143, 0.0028142909693997355, 0.007331107570124524, 0.1252622949159039, -0.10069770992600492, -0.11603657751776544, 0.38822744188323016, -0.03812935074259128, -0.19869023019647492, 0.18221875120153916, -0.057531588443089275, -0.1646317371267027, 0.11907954664202407, 0.18491627764472338, 0.11270027704137776, -0.19921731720054855, 0.06461437854616503, 0.014440986620528357, 0.16624287953475556, 0.03865660341855671, 0.02584451808195029, 0.18653360890291099, 0.16015594662125554, 0.027349507179626795, 0.12036855594155245, -0.1347603718103658, -0.06225743226906551, -0.258233907792185, -0.09569037770852447, -0.20455884843748728, -0.021994147823092395, -0.13663455046937867, -0.1395051205081732, 0.3564736823351788, 0.1850722965485017, 0.28095713533195, 0.035214047143901035, 0.35024827095164385, 0.04397646179006967, 0.09806702059951411, 0.07179052835729505, 0.1510667156261791, 0.061447806656360626, 0.05956876063885699, -0.16067705568691185, 0.07442793611137728, 0.02418236509464415] |
1,803.00501 | Search for the Electric Dipole Moment and anomalous magnetic moment of
the tau lepton at tau factories | Precise measurement of the Electric Dipole Moment (EDM) and anomalous
magnetic moment ($g$-2) of particles are important tests of Beyond Standard
Model (BSM) physics. It is generally believed that the tau lepton couples more
strongly to BSM due to its large mass, and can be searched for at collider
experiments. A new method to approximately reconstruct the neutrinos from the
hadronic decays of $\tau^-\tau^+$ pairs produced at $e^-e^+$ tau factories is
proposed. With all final state particle momenta available, observables based on
matrix elements and sensitive to BSM are calculated. It is estimated that with
50 ab$^{-1}$ of data to be delivered by the $Belle$-II experiment, a tau EDM
search with a 1-$\sigma$ level precision of $|d_\tau^{NP}|<2.04\times 10^{-19}$
e$\cdot$cm, and $g$-2 search with $|a_\tau^{NP}|<1.75\times 10^{-5}$ ($1.5\%$
of the SM prediction), can be expected when systematics are not considered. The
new precision can effectively constrain BSM models with heavy mirror neutrinos.
It can also constrain models containing a light scalar with mass at $O$(1 GeV),
which can explain the current muon $g$-2 anomaly as well. The method in this
work offers a new opportunity to search for BSM at current and future tau
factories with high precision.
| hep-ph | precise measurement of the electric dipole moment edm and anomalous magnetic moment g2 of particles are important tests of beyond standard model bsm physics it is generally believed that the tau lepton couples more strongly to bsm due to its large mass and can be searched for at collider experiments a new method to approximately reconstruct the neutrinos from the hadronic decays of tautau pairs produced at ee tau factories is proposed with all final state particle momenta available observables based on matrix elements and sensitive to bsm are calculated it is estimated that with 50 ab1 of data to be delivered by the belleii experiment a tau edm search with a 1sigma level precision of d_taunp204times 1019 ecdotcm and g2 search with a_taunp175times 105 15 of the sm prediction can be expected when systematics are not considered the new precision can effectively constrain bsm models with heavy mirror neutrinos it can also constrain models containing a light scalar with mass at o1 gev which can explain the current muon g2 anomaly as well the method in this work offers a new opportunity to search for bsm at current and future tau factories with high precision | [['precise', 'measurement', 'of', 'the', 'electric', 'dipole', 'moment', 'edm', 'and', 'anomalous', 'magnetic', 'moment', 'g2', 'of', 'particles', 'are', 'important', 'tests', 'of', 'beyond', 'standard', 'model', 'bsm', 'physics', 'it', 'is', 'generally', 'believed', 'that', 'the', 'tau', 'lepton', 'couples', 'more', 'strongly', 'to', 'bsm', 'due', 'to', 'its', 'large', 'mass', 'and', 'can', 'be', 'searched', 'for', 'at', 'collider', 'experiments', 'a', 'new', 'method', 'to', 'approximately', 'reconstruct', 'the', 'neutrinos', 'from', 'the', 'hadronic', 'decays', 'of', 'tautau', 'pairs', 'produced', 'at', 'ee', 'tau', 'factories', 'is', 'proposed', 'with', 'all', 'final', 'state', 'particle', 'momenta', 'available', 'observables', 'based', 'on', 'matrix', 'elements', 'and', 'sensitive', 'to', 'bsm', 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1,803.00502 | Understand Functionality and Dimensionality of Vector Embeddings: the
Distributional Hypothesis, the Pairwise Inner Product Loss and Its
Bias-Variance Trade-off | Vector embedding is a foundational building block of many deep learning
models, especially in natural language processing. In this paper, we present a
theoretical framework for understanding the effect of dimensionality on vector
embeddings. We observe that the distributional hypothesis, a governing
principle of statistical semantics, requires a natural unitary-invariance for
vector embeddings. Motivated by the unitary-invariance observation, we propose
the Pairwise Inner Product (PIP) loss, a unitary-invariant metric on the
similarity between two embeddings. We demonstrate that the PIP loss captures
the difference in functionality between embeddings, and that the PIP loss is
tightly connect with two basic properties of vector embeddings, namely
similarity and compositionality. By formulating the embedding training process
as matrix factorization with noise, we reveal a fundamental bias-variance
trade-off between the signal spectrum and noise power in the dimensionality
selection process. This bias-variance trade-off sheds light on many empirical
observations which have not been thoroughly explained, for example the
existence of an optimal dimensionality. Moreover, we discover two new results
about vector embeddings, namely their robustness against over-parametrization
and their forward stability. The bias-variance trade-off of the PIP loss
explicitly answers the fundamental open problem of dimensionality selection for
vector embeddings.
| stat.ML cs.LG | vector embedding is a foundational building block of many deep learning models especially in natural language processing in this paper we present a theoretical framework for understanding the effect of dimensionality on vector embeddings we observe that the distributional hypothesis a governing principle of statistical semantics requires a natural unitaryinvariance for vector embeddings motivated by the unitaryinvariance observation we propose the pairwise inner product pip loss a unitaryinvariant metric on the similarity between two embeddings we demonstrate that the pip loss captures the difference in functionality between embeddings and that the pip loss is tightly connect with two basic properties of vector embeddings namely similarity and compositionality by formulating the embedding training process as matrix factorization with noise we reveal a fundamental biasvariance tradeoff between the signal spectrum and noise power in the dimensionality selection process this biasvariance tradeoff sheds light on many empirical observations which have not been thoroughly explained for example the existence of an optimal dimensionality moreover we discover two new results about vector embeddings namely their robustness against overparametrization and their forward stability the biasvariance tradeoff of the pip loss explicitly answers the fundamental open problem of dimensionality selection for vector embeddings | [['vector', 'embedding', 'is', 'a', 'foundational', 'building', 'block', 'of', 'many', 'deep', 'learning', 'models', 'especially', 'in', 'natural', 'language', 'processing', 'in', 'this', 'paper', 'we', 'present', 'a', 'theoretical', 'framework', 'for', 'understanding', 'the', 'effect', 'of', 'dimensionality', 'on', 'vector', 'embeddings', 'we', 'observe', 'that', 'the', 'distributional', 'hypothesis', 'a', 'governing', 'principle', 'of', 'statistical', 'semantics', 'requires', 'a', 'natural', 'unitaryinvariance', 'for', 'vector', 'embeddings', 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1,803.00503 | Anticipating Random Periodic Solutions--II. SPDEs with Multiplicative
Linear Noise | In this paper, we study the existence of random periodic solutions for
semilinear stochastic partial differential equations with multiplicative linear
noise on a bounded open domain ${\cal O}\subset {\mathbb R}^d$ with smooth
boundary. We identify them with the solutions of coupled forward-backward
infinite horizon stochastic integral equations in $L^2({\cal O})$. We then use
generalized Schauder's fixed point theorem, the relative compactness of
Wiener-Sobolev spaces in $C^0([0, T], L^2(\Omega\times{\cal O}))$ and a
localization argument to prove the existence of solutions of the infinite
horizon integral equations, which immediately implies the existence of the
random periodic solution to the corresponding SPDEs. As an example, we apply
our result to the stochastic Allen-Cahn equation with a periodic potential and
prove the existence of a random periodic solution using a localisation
argument.
| math.PR | in this paper we study the existence of random periodic solutions for semilinear stochastic partial differential equations with multiplicative linear noise on a bounded open domain cal osubset mathbb rd with smooth boundary we identify them with the solutions of coupled forwardbackward infinite horizon stochastic integral equations in l2cal o we then use generalized schauders fixed point theorem the relative compactness of wienersobolev spaces in c00 t l2omegatimescal o and a localization argument to prove the existence of solutions of the infinite horizon integral equations which immediately implies the existence of the random periodic solution to the corresponding spdes as an example we apply our result to the stochastic allencahn equation with a periodic potential and prove the existence of a random periodic solution using a localisation argument | [['in', 'this', 'paper', 'we', 'study', 'the', 'existence', 'of', 'random', 'periodic', 'solutions', 'for', 'semilinear', 'stochastic', 'partial', 'differential', 'equations', 'with', 'multiplicative', 'linear', 'noise', 'on', 'a', 'bounded', 'open', 'domain', 'cal', 'osubset', 'mathbb', 'rd', 'with', 'smooth', 'boundary', 'we', 'identify', 'them', 'with', 'the', 'solutions', 'of', 'coupled', 'forwardbackward', 'infinite', 'horizon', 'stochastic', 'integral', 'equations', 'in', 'l2cal', 'o', 'we', 'then', 'use', 'generalized', 'schauders', 'fixed', 'point', 'theorem', 'the', 'relative', 'compactness', 'of', 'wienersobolev', 'spaces', 'in', 'c00', 't', 'l2omegatimescal', 'o', 'and', 'a', 'localization', 'argument', 'to', 'prove', 'the', 'existence', 'of', 'solutions', 'of', 'the', 'infinite', 'horizon', 'integral', 'equations', 'which', 'immediately', 'implies', 'the', 'existence', 'of', 'the', 'random', 'periodic', 'solution', 'to', 'the', 'corresponding', 'spdes', 'as', 'an', 'example', 'we', 'apply', 'our', 'result', 'to', 'the', 'stochastic', 'allencahn', 'equation', 'with', 'a', 'periodic', 'potential', 'and', 'prove', 'the', 'existence', 'of', 'a', 'random', 'periodic', 'solution', 'using', 'a', 'localisation', 'argument']] | [-0.1799501557612703, 0.0444200154143757, -0.0787658353838774, 0.05575326757989676, -0.09525446368137463, -0.1295321683791126, 0.027107084688309226, 0.2680900711344466, -0.32057392558762954, -0.17306691659097043, 0.17452288252423473, -0.29802368248679806, -0.14763189141318897, 0.15061559851857878, -0.09444176569019282, 0.09855526915958358, 0.051538043348709976, 0.03587023143671335, -0.08831490112453817, -0.23467945608325183, 0.3790264187291974, -0.10239584644653997, 0.17332018457264417, 0.015445710950723243, 0.16077974405405776, 0.01877716838914369, -0.020732301154306958, 0.023725330955274994, -0.20073464679502187, 0.08973727560424734, 0.24940309436097446, 0.039858076773169965, 0.3084809348460228, -0.3940729895784032, -0.18408578363342382, 0.1499893010616125, 0.11978126467239769, 0.09986698209023517, -0.05724849959369749, -0.33050480059215, 0.12306808067544822, -0.1143514838934477, -0.26572465165776926, -0.03505062463782018, 0.03563249882842813, 0.1255912920072054, -0.3020953488728357, 0.0724450262292983, 0.13661843222513517, 0.016282737951740504, -0.15752034628068998, -0.020643695409128828, -0.01979580713576445, 0.01652475907689049, 0.046555974496720685, 0.02969624849945484, 0.036984800553274536, -0.05328651392529349, -0.12905346505558266, 0.29268069682820214, -0.15981783873737893, -0.28849743163242697, 0.16133429442665406, -0.13663971012768647, -0.13762595727559299, 0.1391300838570007, 0.16054526792602644, 0.19389268218554437, -0.1489867397975768, 0.19208214202773802, -0.07715260360615388, 0.13158870794803887, 0.12406354624452809, 0.0044191810043735635, 0.09160410714823575, 0.1252628390063783, 0.18793862893260896, 0.14844555764584727, -0.01416323288729126, -0.13591500169307452, -0.3940610945934341, -0.1311836505959195, -0.10969127957812613, 0.15175939686152906, -0.1617641021924404, -0.2679427078747678, 0.323883244688327, 0.12435646005906165, 0.15969336738011666, 0.10943468932953057, 0.18810390987034356, 0.2110534179041029, -0.05374171894546303, 0.08208712848967739, 0.13176172497933583, 0.19299886387861556, 0.13355003296589804, -0.23348797534570276, -0.017400831349992325, 0.20313861996842278] |
1,803.00504 | Hyperons: the strange ingredients of the nuclear equation of state | In this article we will review the role and properties of hyperons in finite
and infinite nuclear systems. In particular, we will revise different
production mechanisms of hypernuclei, as well as several aspects of
hypernuclear $\gamma$-ray spectroscopy, and the weak decay modes of
hypernuclei. Then we will discuss the construction of hyperon-nucleon and
hyperon-hyperon interactions on the basis of the meson-exchange and chiral
effective field theories. Recent developments based on the so-called
V$_{low\,\, k}$ approach and lattice QCD will also be adressed. Finally, we
will go over some of the effects of hyperons on the properties of neutron and
proto-neutron stars with an emphasis on the so-called "hyperon puzzle", {\it
i.e.,} the problem of the strong softening of the equation of state, and the
consequent reduction of the maximum mass, induced by the presence of hyperons,
a problem which has become more intringuing and difficult to solve due the
recent measurements of $\sim 2M_\odot$ millisecond pulsars. We will discuss
some of the solutions proposed to tackle this problem. We will also re-examine
the role of hyperons on the cooling properties of newly born neutron stars and
on the development of the so-called r-mode instability.
| nucl-th | in this article we will review the role and properties of hyperons in finite and infinite nuclear systems in particular we will revise different production mechanisms of hypernuclei as well as several aspects of hypernuclear gammaray spectroscopy and the weak decay modes of hypernuclei then we will discuss the construction of hyperonnucleon and hyperonhyperon interactions on the basis of the mesonexchange and chiral effective field theories recent developments based on the socalled v_low k approach and lattice qcd will also be adressed finally we will go over some of the effects of hyperons on the properties of neutron and protoneutron stars with an emphasis on the socalled hyperon puzzle it ie the problem of the strong softening of the equation of state and the consequent reduction of the maximum mass induced by the presence of hyperons a problem which has become more intringuing and difficult to solve due the recent measurements of sim 2m_odot millisecond pulsars we will discuss some of the solutions proposed to tackle this problem we will also reexamine the role of hyperons on the cooling properties of newly born neutron stars and on the development of the socalled rmode instability | [['in', 'this', 'article', 'we', 'will', 'review', 'the', 'role', 'and', 'properties', 'of', 'hyperons', 'in', 'finite', 'and', 'infinite', 'nuclear', 'systems', 'in', 'particular', 'we', 'will', 'revise', 'different', 'production', 'mechanisms', 'of', 'hypernuclei', 'as', 'well', 'as', 'several', 'aspects', 'of', 'hypernuclear', 'gammaray', 'spectroscopy', 'and', 'the', 'weak', 'decay', 'modes', 'of', 'hypernuclei', 'then', 'we', 'will', 'discuss', 'the', 'construction', 'of', 'hyperonnucleon', 'and', 'hyperonhyperon', 'interactions', 'on', 'the', 'basis', 'of', 'the', 'mesonexchange', 'and', 'chiral', 'effective', 'field', 'theories', 'recent', 'developments', 'based', 'on', 'the', 'socalled', 'v_low', 'k', 'approach', 'and', 'lattice', 'qcd', 'will', 'also', 'be', 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1,803.00505 | Quantitative Curve Selection Lemma | We prove a quantitative version of the curve selection lemma. Denoting by
$s,d,k$ a bound on the number, the degree and the number of variables of the
polynomials describing a semi-algebraic set $S$ and a point $x$ in $\bar S$, we
find a semi-algebraic path starting at $x$ and entering in $S$ with a
description of degree $(O(d)^{3k+3},O(d)^{k})$ (using a precise definition of
the description of a semi-algebraic path and its degree given in the paper). As
a consequence, we prove that there exists a semi-algebraic path starting at $x$
and entering in $S$, such that the degree of the Zariski closure of the image
of this path is bounded by $O(d)^{4k+3}$, improving a result of Jelonek and
Kurdyka. We also give an algorithm for describing the real isolated points of
$S$ whose complexity is bounded by $s^{2 k+1}d^{O(k)}$ improving a result of
Le, Safey el Din, and de Wolff.
| math.AG | we prove a quantitative version of the curve selection lemma denoting by sdk a bound on the number the degree and the number of variables of the polynomials describing a semialgebraic set s and a point x in bar s we find a semialgebraic path starting at x and entering in s with a description of degree od3k3odk using a precise definition of the description of a semialgebraic path and its degree given in the paper as a consequence we prove that there exists a semialgebraic path starting at x and entering in s such that the degree of the zariski closure of the image of this path is bounded by od4k3 improving a result of jelonek and kurdyka we also give an algorithm for describing the real isolated points of s whose complexity is bounded by s2 k1dok improving a result of le safey el din and de wolff | [['we', 'prove', 'a', 'quantitative', 'version', 'of', 'the', 'curve', 'selection', 'lemma', 'denoting', 'by', 'sdk', 'a', 'bound', 'on', 'the', 'number', 'the', 'degree', 'and', 'the', 'number', 'of', 'variables', 'of', 'the', 'polynomials', 'describing', 'a', 'semialgebraic', 'set', 's', 'and', 'a', 'point', 'x', 'in', 'bar', 's', 'we', 'find', 'a', 'semialgebraic', 'path', 'starting', 'at', 'x', 'and', 'entering', 'in', 's', 'with', 'a', 'description', 'of', 'degree', 'od3k3odk', 'using', 'a', 'precise', 'definition', 'of', 'the', 'description', 'of', 'a', 'semialgebraic', 'path', 'and', 'its', 'degree', 'given', 'in', 'the', 'paper', 'as', 'a', 'consequence', 'we', 'prove', 'that', 'there', 'exists', 'a', 'semialgebraic', 'path', 'starting', 'at', 'x', 'and', 'entering', 'in', 's', 'such', 'that', 'the', 'degree', 'of', 'the', 'zariski', 'closure', 'of', 'the', 'image', 'of', 'this', 'path', 'is', 'bounded', 'by', 'od4k3', 'improving', 'a', 'result', 'of', 'jelonek', 'and', 'kurdyka', 'we', 'also', 'give', 'an', 'algorithm', 'for', 'describing', 'the', 'real', 'isolated', 'points', 'of', 's', 'whose', 'complexity', 'is', 'bounded', 'by', 's2', 'k1dok', 'improving', 'a', 'result', 'of', 'le', 'safey', 'el', 'din', 'and', 'de', 'wolff']] | [-0.19398938953166917, 0.07305601773220098, -0.10240469182537375, 0.010063525252075878, -0.024965303424162928, -0.09602202976765555, 0.092531840790136, 0.27113617193207246, -0.28222487767093946, -0.26295514383232915, 0.06550963994014222, -0.27347514211187507, -0.12409660449492282, 0.21622374740296177, -0.0743885950635181, 0.008339553120701263, 0.041107955298443535, 0.09614708627570978, -0.060913298969619535, -0.24012969819461408, 0.3188611687395443, -0.040263711544526674, 0.15724249632845372, 0.0752181941326581, 0.1508318234573999, 0.0635474020817957, -0.011779152089729905, 0.05160665140189484, -0.19020806051536104, 0.13802315919425617, 0.24267949550677895, 0.19874543453357657, 0.24310119807099304, -0.35089326390781167, -0.13818351200268586, 0.15179672913600495, 0.09201529692204315, 0.03245076284344707, -0.018227957943802837, -0.2372366622419787, 0.11854816879443571, -0.10526181011817887, -0.2075402975639924, -0.018437904299420563, 0.0870863233667602, 0.041690469675120856, -0.291196641030715, -0.0037941683139604498, 0.13837129250010413, 0.1156495003339353, 0.00036957500689365223, -0.12369394309337245, -0.06214214277970066, 0.051413099367019474, -0.03845081278154639, 0.14833215911726969, 0.05023979242624981, -0.12377764438405683, -0.10287640046100227, 0.343961261035431, -0.06199202034305654, -0.19000346327618678, 0.1404521346953856, -0.14259778283422395, -0.13635751822342476, 0.11890702190029682, 0.11018425441302714, 0.1571035054575677, -0.07726572230331549, 0.19493853345514928, -0.10403493340729045, 0.1163899071119032, 0.12098231848303964, 0.036363462993533026, 0.12173679245669129, 0.17559796946161255, 0.11678015165384162, 0.12183994762155981, -0.03947087880825865, -0.023922346931483065, -0.3705887896464948, -0.19629995117390048, -0.20473644644906847, 0.10652181923668198, -0.12914121783820384, -0.18426340183585274, 0.39221931164640755, 0.06348678796095963, 0.24398088368403464, 0.09565654318450259, 0.22719082261236118, 0.09409049649251273, -0.03208695822965582, 0.1132327626224886, 0.10906603540845063, 0.12644609605392987, 0.023126898897292258, -0.1599930419276158, 0.05011163929439321, 0.14579135869518017] |
1,803.00506 | A study of the star forming regions in the spiral galaxy NGC 2336 using
the Ultraviolet Imaging Telescope (UVIT) | We present a far-UV (FUV) and near-UV (NUV) imaging study of recent star
formation in the nearby spiral galaxy NGC 2336 using the Ultraviolet Imaging
Telescope (UVIT). NGC 2336 is nearly face-on in morphology and has a
multi-armed, branching spiral structure which is associated with star forming
regions distributed mainly along the spiral arms and the co-rotation ring
around the bar. We have identified 72 star forming knots in the disk, of which
only two are in the inter-arm regions and 6 in the co-rotation ring. We have
tabulated their positions and estimated their luminosities, sizes, star
formation rates, colors, ages and masses. The ages and masses of these star
forming knots were estimated using the Starburst99 stellar evolutionary
synthesis models. The star forming knots have FUV and NUV mean sizes of 485 pc
and 408 pc respectively and mean stellar masses of 9.8 $\times 10^{5}$
M$_{\odot}$ that range from 5.6 $\times 10^{5}$ to 1.1 $\times 10^{6}$
M$_{\odot}$. Their star formation rates vary from 6.9 $\times 10^{-4}$ to 2.2
$\times 10^{-2}$ M$_{\odot}$/yr in NUV and from 4.5 $\times 10^{-4}$ to 1.8
$\times 10^{-2}$ M$_{\odot}$/yr in FUV. The FUV-NUV colour of the knots is
found to be bluest in the central region and becomes progressively redder as
the radius increases. Our results suggest that star formation in disks with
spiral structure is driven by the spiral density wave and is best traced by UV
imaging as it encompasses clusters spanning a wide range of star forming ages
and stellar masses.
| astro-ph.GA | we present a faruv fuv and nearuv nuv imaging study of recent star formation in the nearby spiral galaxy ngc 2336 using the ultraviolet imaging telescope uvit ngc 2336 is nearly faceon in morphology and has a multiarmed branching spiral structure which is associated with star forming regions distributed mainly along the spiral arms and the corotation ring around the bar we have identified 72 star forming knots in the disk of which only two are in the interarm regions and 6 in the corotation ring we have tabulated their positions and estimated their luminosities sizes star formation rates colors ages and masses the ages and masses of these star forming knots were estimated using the starburst99 stellar evolutionary synthesis models the star forming knots have fuv and nuv mean sizes of 485 pc and 408 pc respectively and mean stellar masses of 98 times 105 m_odot that range from 56 times 105 to 11 times 106 m_odot their star formation rates vary from 69 times 104 to 22 times 102 m_odotyr in nuv and from 45 times 104 to 18 times 102 m_odotyr in fuv the fuvnuv colour of the knots is found to be bluest in the central region and becomes progressively redder as the radius increases our results suggest that star formation in disks with spiral structure is driven by the spiral density wave and is best traced by uv imaging as it encompasses clusters spanning a wide range of star forming ages and stellar masses | [['we', 'present', 'a', 'faruv', 'fuv', 'and', 'nearuv', 'nuv', 'imaging', 'study', 'of', 'recent', 'star', 'formation', 'in', 'the', 'nearby', 'spiral', 'galaxy', 'ngc', '2336', 'using', 'the', 'ultraviolet', 'imaging', 'telescope', 'uvit', 'ngc', '2336', 'is', 'nearly', 'faceon', 'in', 'morphology', 'and', 'has', 'a', 'multiarmed', 'branching', 'spiral', 'structure', 'which', 'is', 'associated', 'with', 'star', 'forming', 'regions', 'distributed', 'mainly', 'along', 'the', 'spiral', 'arms', 'and', 'the', 'corotation', 'ring', 'around', 'the', 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1,803.00507 | On the automorphic side of the K-theoretic Artin symbol | Clausen has constructed a homotopical enrichment of the Artin reciprocity
symbol in class field theory. On the Galois side, Selmer K-homology replaces
the abelianized Galois group, while on the automorphic side the K-theory of
locally compact vector spaces replaces classical idelic objects. We supply
proofs for some predictions of Clausen regarding the automorphic side.
| math.NT math.KT | clausen has constructed a homotopical enrichment of the artin reciprocity symbol in class field theory on the galois side selmer khomology replaces the abelianized galois group while on the automorphic side the ktheory of locally compact vector spaces replaces classical idelic objects we supply proofs for some predictions of clausen regarding the automorphic side | [['clausen', 'has', 'constructed', 'a', 'homotopical', 'enrichment', 'of', 'the', 'artin', 'reciprocity', 'symbol', 'in', 'class', 'field', 'theory', 'on', 'the', 'galois', 'side', 'selmer', 'khomology', 'replaces', 'the', 'abelianized', 'galois', 'group', 'while', 'on', 'the', 'automorphic', 'side', 'the', 'ktheory', 'of', 'locally', 'compact', 'vector', 'spaces', 'replaces', 'classical', 'idelic', 'objects', 'we', 'supply', 'proofs', 'for', 'some', 'predictions', 'of', 'clausen', 'regarding', 'the', 'automorphic', 'side']] | [-0.22994274477349352, 0.026650467663313502, -0.20778152594963709, 0.17471928599169823, -0.2193175088269291, -0.15932472784037668, -0.018382392588709655, 0.28788322849302656, -0.3581665510794631, -0.15676807486656966, 0.09490885365219717, -0.24328427815365744, -0.12092514965614234, 0.2507003365532943, -0.2495595550130087, -0.03272040505652075, -0.015611097953903178, 0.21252365819075042, -0.11588280513468716, -0.30244072695711144, 0.46370263357163855, -0.014159699712224581, 0.2288121491394661, -0.01496342529922172, 0.07571652178497364, 0.07355653167771245, -0.08218149100947711, -0.13111995919435113, -0.11810406882108913, 0.17572355684306887, 0.3615160910757603, -0.013224652149128142, 0.1939489965809992, -0.4334246590733528, -0.14155596584357596, 0.16302323976048716, 0.07183793187141418, 0.010363702054342462, -0.0786641549396639, -0.31946208852308766, 0.07755441358312964, -0.18397523841337748, -0.12881550295450897, -0.022405540682720364, 0.0198271247769568, 0.006899119319213141, -0.19323181219968116, -0.037146241740427084, 0.08695351994699901, 0.23325272533542443, -0.12015608146234795, -0.1633873358713808, -0.044195140470509174, 0.07998697097516722, 0.009000539749481336, 0.04295950529544994, 0.16587115625023013, -0.14452944002631637, -0.11914497175840316, 0.3181975446986379, -0.05560427502280584, -0.15781780387516375, 0.06741648492256731, -0.16806888456145921, -0.21912026153532443, 0.09130057821878129, 0.02536637572295688, 0.11834739750527122, 0.0504205868475967, 0.23255197796970606, -0.1688542201149243, 0.11017436285382481, 0.1383858019037655, 0.01350550134062629, 0.12884637428861526, 0.0020806221032722127, 0.04445824309045242, 0.09062942985824689, 0.04717377073959344, -0.09247103463146938, -0.35778993488875804, -0.1962117587423159, -0.0608032438408204, 0.12036275291056545, -0.1356757947985359, -0.19022331366108525, 0.39421180237291586, 0.03853409074535766, 0.09200575526941705, 0.23681532665742216, 0.22170515838769023, 0.04524158004723075, 0.09518040097491057, 0.030452784357799426, 0.07896798171148273, 0.343299837300071, -0.007162700499908102, -0.13614726665158136, -0.0022628459027381957, 0.3541672637306706] |
1,803.00508 | Structural break analysis in high-dimensional covariance structure | We consider detection and localization of an abrupt break in the covariance
structure of high-dimensional random data. The paper proposes a novel testing
procedure for this problem. Due to its nature, the approach requires a properly
chosen critical level. In this regard we propose a purely data-driven
calibration scheme. The approach can be straightforwardly employed in online
setting and is essentially multiscale allowing for a trade-off between
sensitivity and change-point localization (in online setting, the delay of
detection). The description of the algorithm is followed by a formal
theoretical study justifying the proposed calibration scheme under mild
assumption and providing guaranties for break detection. All the theoretical
results are obtained in a high-dimensional setting (dimensionality $p >> n$).
The results are supported by a simulation study inspired by real-world
financial data.
| math.ST stat.TH | we consider detection and localization of an abrupt break in the covariance structure of highdimensional random data the paper proposes a novel testing procedure for this problem due to its nature the approach requires a properly chosen critical level in this regard we propose a purely datadriven calibration scheme the approach can be straightforwardly employed in online setting and is essentially multiscale allowing for a tradeoff between sensitivity and changepoint localization in online setting the delay of detection the description of the algorithm is followed by a formal theoretical study justifying the proposed calibration scheme under mild assumption and providing guaranties for break detection all the theoretical results are obtained in a highdimensional setting dimensionality p n the results are supported by a simulation study inspired by realworld financial data | [['we', 'consider', 'detection', 'and', 'localization', 'of', 'an', 'abrupt', 'break', 'in', 'the', 'covariance', 'structure', 'of', 'highdimensional', 'random', 'data', 'the', 'paper', 'proposes', 'a', 'novel', 'testing', 'procedure', 'for', 'this', 'problem', 'due', 'to', 'its', 'nature', 'the', 'approach', 'requires', 'a', 'properly', 'chosen', 'critical', 'level', 'in', 'this', 'regard', 'we', 'propose', 'a', 'purely', 'datadriven', 'calibration', 'scheme', 'the', 'approach', 'can', 'be', 'straightforwardly', 'employed', 'in', 'online', 'setting', 'and', 'is', 'essentially', 'multiscale', 'allowing', 'for', 'a', 'tradeoff', 'between', 'sensitivity', 'and', 'changepoint', 'localization', 'in', 'online', 'setting', 'the', 'delay', 'of', 'detection', 'the', 'description', 'of', 'the', 'algorithm', 'is', 'followed', 'by', 'a', 'formal', 'theoretical', 'study', 'justifying', 'the', 'proposed', 'calibration', 'scheme', 'under', 'mild', 'assumption', 'and', 'providing', 'guaranties', 'for', 'break', 'detection', 'all', 'the', 'theoretical', 'results', 'are', 'obtained', 'in', 'a', 'highdimensional', 'setting', 'dimensionality', 'p', 'n', 'the', 'results', 'are', 'supported', 'by', 'a', 'simulation', 'study', 'inspired', 'by', 'realworld', 'financial', 'data']] | [-0.11337885429652837, 0.01701310075418755, -0.11038691055459472, 0.052951057742421447, -0.055981360069619346, -0.15163227439356539, 0.08009044383383858, 0.3838420120282815, -0.2505233503734836, -0.3266266244535263, 0.1174393830059741, -0.20269163244117339, -0.18173752431578646, 0.19603735065589156, -0.11409968060011474, 0.1137739766742855, 0.07815313612182553, -0.016564576114671162, -0.04919881428448627, -0.22474753660722993, 0.29501696560675134, 0.08282077621238736, 0.34352489452844914, 0.02852948751981155, 0.08627743310509967, 0.05352420369163156, -0.08421787242046916, 0.024582309309894648, -0.10327835767619455, 0.14522562712126483, 0.29216346169033874, 0.15446098118554802, 0.33817156130770365, -0.38415661935622875, -0.2198425227113498, 0.11168795258809741, 0.11915148071890984, 0.11834114030218468, -0.06011844457556995, -0.32278961086502445, 0.08674593876080158, -0.15212279461467496, -0.10581799545325339, -0.1161582218698011, -0.05820297070850546, -0.05298506958553424, -0.33072115003283564, 0.08661197499157144, 0.07713158670812845, 0.06855394220910967, -0.04108979971273444, -0.03253842988409675, 0.09371905282336788, 0.10026586970690494, 0.05167724420853819, -0.013404034241774263, 0.08418722749472811, -0.10216292725302852, -0.1317427380171676, 0.38815283873476664, -0.03405532140571337, -0.21010899292305113, 0.16822394327475473, -0.04879480931782522, -0.16096093064317338, 0.11931553670348456, 0.20254071087289888, 0.11194033128066132, -0.1680594229108045, 0.10883920934731857, -0.02057277777662071, 0.1576517080816512, 0.009055436710612132, -0.014872942979519185, 0.12967438201079717, 0.24371620117185208, 0.08338648120227915, 0.1392763128817583, -0.10301456517324997, -0.07257633421999904, -0.31423254595138134, -0.11509293771277253, -0.19198692011234994, 0.00959655879280315, -0.11373211473468332, -0.1267448120893767, 0.3852109365578844, 0.18990138985682278, 0.230559736982776, 0.08873449170317214, 0.32286564253198985, 0.12906893202497696, -0.010013299700445854, 0.05661896537774457, 0.2079945191132048, 0.07090008694929285, 0.07248300993277763, -0.1875104244870062, 0.10252829839009792, 0.060655870464128944] |
1,803.00509 | Central limit theorems for multilevel Monte Carlo methods | In this work, we show that uniform integrability is not a necessary condition
for central limit theorems (CLT) to hold for normalized multilevel Monte Carlo
(MLMC) estimators and we provide near optimal weaker conditions under which the
CLT is achieved. In particular, if the variance decay rate dominates the
computational cost rate (i.e., $\beta > \gamma$), we prove that the CLT applies
to the standard (variance minimizing) MLMC estimator.
For other settings where the CLT may not apply to the standard MLMC
estimator, we propose an alternative estimator, called the mass-shifted MLMC
estimator, to which the CLT always applies.
This comes at a small efficiency loss: the computational cost of achieving
mean square approximation error $\mathcal{O}(\epsilon^2)$ is at worst a factor
$\mathcal{O}(\log(1/\epsilon))$ higher with the mass-shifted estimator than
with the standard one.
| math.PR | in this work we show that uniform integrability is not a necessary condition for central limit theorems clt to hold for normalized multilevel monte carlo mlmc estimators and we provide near optimal weaker conditions under which the clt is achieved in particular if the variance decay rate dominates the computational cost rate ie beta gamma we prove that the clt applies to the standard variance minimizing mlmc estimator for other settings where the clt may not apply to the standard mlmc estimator we propose an alternative estimator called the massshifted mlmc estimator to which the clt always applies this comes at a small efficiency loss the computational cost of achieving mean square approximation error mathcaloepsilon2 is at worst a factor mathcalolog1epsilon higher with the massshifted estimator than with the standard one | [['in', 'this', 'work', 'we', 'show', 'that', 'uniform', 'integrability', 'is', 'not', 'a', 'necessary', 'condition', 'for', 'central', 'limit', 'theorems', 'clt', 'to', 'hold', 'for', 'normalized', 'multilevel', 'monte', 'carlo', 'mlmc', 'estimators', 'and', 'we', 'provide', 'near', 'optimal', 'weaker', 'conditions', 'under', 'which', 'the', 'clt', 'is', 'achieved', 'in', 'particular', 'if', 'the', 'variance', 'decay', 'rate', 'dominates', 'the', 'computational', 'cost', 'rate', 'ie', 'beta', 'gamma', 'we', 'prove', 'that', 'the', 'clt', 'applies', 'to', 'the', 'standard', 'variance', 'minimizing', 'mlmc', 'estimator', 'for', 'other', 'settings', 'where', 'the', 'clt', 'may', 'not', 'apply', 'to', 'the', 'standard', 'mlmc', 'estimator', 'we', 'propose', 'an', 'alternative', 'estimator', 'called', 'the', 'massshifted', 'mlmc', 'estimator', 'to', 'which', 'the', 'clt', 'always', 'applies', 'this', 'comes', 'at', 'a', 'small', 'efficiency', 'loss', 'the', 'computational', 'cost', 'of', 'achieving', 'mean', 'square', 'approximation', 'error', 'mathcaloepsilon2', 'is', 'at', 'worst', 'a', 'factor', 'mathcalolog1epsilon', 'higher', 'with', 'the', 'massshifted', 'estimator', 'than', 'with', 'the', 'standard', 'one']] | [-0.05983998171197107, 0.040355143707823185, -0.09068303590353866, 0.17376485159351993, 0.006070708897179709, -0.1835023504968446, 0.07172818408849148, 0.3647508932707401, -0.2614497714067021, -0.23887687392640286, 0.12453885098489431, -0.24781725710401167, -0.06710705904719921, 0.2004483043216169, -0.16288117081052267, 0.0674787370317902, 0.08840518931929882, 0.011753535054203195, -0.097557599528227, -0.32197921709515726, 0.20230479970072898, 0.1340828595539698, 0.32233187867901647, 0.012666199260498756, 0.11980275096944891, 0.02716732108965516, 0.047461430685451396, -0.009795847764381995, -0.19722360960631005, 0.11501481567437832, 0.22059578265135105, 0.07915854113570486, 0.38132814606651666, -0.3271071226698741, -0.1540050278417766, 0.19967968906455028, 0.13137307898678746, 0.07680488596323322, -0.02177871344342398, -0.18482087229450161, 0.11719250340874378, -0.16479720358665173, -0.14608492051394514, -0.05557971931971574, -0.11913134462844867, 0.022984849489652192, -0.410903944225552, 0.1782005263850666, 0.11547388939831693, 0.022947450168430805, 0.03463604464195669, -0.16735791546794085, 0.03780966059018213, 0.05305929220138261, 0.08011110209447976, 0.007590461722933329, 0.13098307398210565, -0.07336763699825566, -0.08323820020752744, 0.29887631319176694, -0.0981294109760291, -0.24201399934693024, 0.14046381156255777, -0.1807785551986084, -0.16364840497620978, 0.1382322271891798, 0.14200676012999164, 0.09152507558465003, -0.16091264956630766, 0.11828626590700318, -0.007902929874566885, 0.13717291400624582, 0.03838260799932938, 0.03733656833378168, 0.03773612487846269, 0.1712145187229348, 0.2107905371974294, 0.16176233357579733, -0.13399524616722305, -0.13786820995693022, -0.3330036339851526, -0.15821673735403097, -0.22517391417462093, 0.05983363409692314, -0.16999281286608983, -0.18560892168539933, 0.26509419593673483, 0.2019227304469006, 0.10477802701151141, 0.21435881735971915, 0.3000726000047647, 0.19958751736065516, 0.05502092576263329, 0.14818839141740822, 0.21460219445423437, 0.14010669220095642, 0.030393274848421033, -0.17993959305593027, 0.0902498035512578, 0.12478984674940316] |
1,803.0051 | Time dependent London approach, dissipation due to out-of-core normal
excitations by moving vortices | The dissipative currents due to normal excitations are included in the London
description. The resulting time dependent London equations are solved for a
moving vortex and a moving vortex lattice. It is shown that the field
distribution of a moving vortex looses it cylindrical symmetry, it experiences
contraction which is stronger in the direction of the motion, than in the
direction normal to the velocity $\bm v$.
The London contribution of normal currents to dissipation is small relative
to the Bardeen-Stephen core dissipation at small velocities, but approaches the
latter at high velocities, where this contribution is no longer proportional to
$v^2$. To minimize the London contribution to dissipation, the vortex lattice
orients as to have one of the unit cell vectors along the velocity, the effect
seen in experiments and predicted within the time-dependent Ginzburg-Landau
theory.
| cond-mat.supr-con | the dissipative currents due to normal excitations are included in the london description the resulting time dependent london equations are solved for a moving vortex and a moving vortex lattice it is shown that the field distribution of a moving vortex looses it cylindrical symmetry it experiences contraction which is stronger in the direction of the motion than in the direction normal to the velocity bm v the london contribution of normal currents to dissipation is small relative to the bardeenstephen core dissipation at small velocities but approaches the latter at high velocities where this contribution is no longer proportional to v2 to minimize the london contribution to dissipation the vortex lattice orients as to have one of the unit cell vectors along the velocity the effect seen in experiments and predicted within the timedependent ginzburglandau theory | [['the', 'dissipative', 'currents', 'due', 'to', 'normal', 'excitations', 'are', 'included', 'in', 'the', 'london', 'description', 'the', 'resulting', 'time', 'dependent', 'london', 'equations', 'are', 'solved', 'for', 'a', 'moving', 'vortex', 'and', 'a', 'moving', 'vortex', 'lattice', 'it', 'is', 'shown', 'that', 'the', 'field', 'distribution', 'of', 'a', 'moving', 'vortex', 'looses', 'it', 'cylindrical', 'symmetry', 'it', 'experiences', 'contraction', 'which', 'is', 'stronger', 'in', 'the', 'direction', 'of', 'the', 'motion', 'than', 'in', 'the', 'direction', 'normal', 'to', 'the', 'velocity', 'bm', 'v', 'the', 'london', 'contribution', 'of', 'normal', 'currents', 'to', 'dissipation', 'is', 'small', 'relative', 'to', 'the', 'bardeenstephen', 'core', 'dissipation', 'at', 'small', 'velocities', 'but', 'approaches', 'the', 'latter', 'at', 'high', 'velocities', 'where', 'this', 'contribution', 'is', 'no', 'longer', 'proportional', 'to', 'v2', 'to', 'minimize', 'the', 'london', 'contribution', 'to', 'dissipation', 'the', 'vortex', 'lattice', 'orients', 'as', 'to', 'have', 'one', 'of', 'the', 'unit', 'cell', 'vectors', 'along', 'the', 'velocity', 'the', 'effect', 'seen', 'in', 'experiments', 'and', 'predicted', 'within', 'the', 'timedependent', 'ginzburglandau', 'theory']] | [-0.16519729417908502, 0.19572994227854223, -0.06523602081965792, 0.037099912457582776, -0.10250107450138805, -0.0821920532098441, 0.010241646171134496, 0.3397903214922569, -0.29707606157532684, -0.2484750651421338, 0.04534030951267231, -0.2801455312993133, -0.044460795643012016, 0.17111280967012374, -0.010319945648870003, -0.01847950191692497, -0.008112050876714778, 0.080825742993531, -0.03565113270743648, -0.21504742114797887, 0.24978107771407948, 0.02448710287499656, 0.34859496988288136, 0.042006831699438446, 0.0783248939776596, -0.03254727818017458, 0.0008034007895710695, 0.07946041652620056, -0.12928175286375654, 0.07960126636019588, 0.16004500547288, -0.04084260109812021, 0.2409228078212018, -0.45040005121896737, -0.1895176620243022, 0.031308083346344696, 0.1350483501119281, 0.15044355687063296, 0.028087462176208514, -0.2690721707160238, 0.049037902303257566, -0.13270755137663579, -0.20148294329656846, -0.012024861977972688, 0.12384216618693576, 0.020043725431658818, -0.23632740371785785, 0.13223542449621986, 0.07461245507742219, 0.05614817256522603, -0.08116212167206091, -0.09559823661009326, -0.06932726960602033, 0.0693866381566992, 0.09735550808067685, 0.10353926955008486, 0.14823386403090444, -0.1604363408575283, -0.032605447337357665, 0.4347817059470354, -0.07623500335865134, -0.2038535846356493, 0.15233969914448195, -0.17728346369032116, -0.020616228767011288, 0.1818259634046958, 0.15090899825662063, 0.07460883264871736, -0.10436712650507417, 0.019744335054283975, -0.034625698282063876, 0.10274352472493031, 0.064122045045569, -0.0228450186202221, 0.1935427102547506, 0.12841622106030748, 0.06752695618231312, 0.09581817003701182, -0.15668745988123392, -0.14176379916101803, -0.32632096317583137, -0.14095799608094903, -0.19388848635619574, 0.01680718913307264, -0.03683953698580901, -0.16012229370764783, 0.3540189613649336, 0.15720576902232847, 0.19214821962132392, 0.0032914525287117075, 0.2963095588854303, 0.16881541864407745, 0.1372668720802197, 0.11374771853324271, 0.25925962348217074, 0.1611206167561077, 0.1566470911603992, -0.30328920120237407, 0.033094053804181026, 0.0513554111116287] |
1,803.00511 | Habitable Snowballs: Temperate Land Conditions, Liquid Water, and
Implications for CO$_2$ Weathering | Habitable planets are commonly imagined to be temperate planets like Earth,
with areas of open ocean and warm land. In contrast, planets in snowball
states, where oceans are entirely ice-covered, are believed to be inhospitable.
However, we show using a general circulation model that terrestrial planets in
the inner habitable zone are able to support large unfrozen areas of land while
in a snowball state. Due to their lower albedo, these unfrozen regions reach
summer temperatures in excess of 10 $^\circ$Celsius. Such conditions permit
CO$_2$ weathering, suggesting that continental weathering can provide a
mechanism for trapping planets in stable snowball states. The presence of land
areas with warm temperatures and liquid surface water motivates a more-nuanced
understanding of habitability during these snowball events.
| astro-ph.EP | habitable planets are commonly imagined to be temperate planets like earth with areas of open ocean and warm land in contrast planets in snowball states where oceans are entirely icecovered are believed to be inhospitable however we show using a general circulation model that terrestrial planets in the inner habitable zone are able to support large unfrozen areas of land while in a snowball state due to their lower albedo these unfrozen regions reach summer temperatures in excess of 10 circcelsius such conditions permit co_2 weathering suggesting that continental weathering can provide a mechanism for trapping planets in stable snowball states the presence of land areas with warm temperatures and liquid surface water motivates a morenuanced understanding of habitability during these snowball events | [['habitable', 'planets', 'are', 'commonly', 'imagined', 'to', 'be', 'temperate', 'planets', 'like', 'earth', 'with', 'areas', 'of', 'open', 'ocean', 'and', 'warm', 'land', 'in', 'contrast', 'planets', 'in', 'snowball', 'states', 'where', 'oceans', 'are', 'entirely', 'icecovered', 'are', 'believed', 'to', 'be', 'inhospitable', 'however', 'we', 'show', 'using', 'a', 'general', 'circulation', 'model', 'that', 'terrestrial', 'planets', 'in', 'the', 'inner', 'habitable', 'zone', 'are', 'able', 'to', 'support', 'large', 'unfrozen', 'areas', 'of', 'land', 'while', 'in', 'a', 'snowball', 'state', 'due', 'to', 'their', 'lower', 'albedo', 'these', 'unfrozen', 'regions', 'reach', 'summer', 'temperatures', 'in', 'excess', 'of', '10', 'circcelsius', 'such', 'conditions', 'permit', 'co_2', 'weathering', 'suggesting', 'that', 'continental', 'weathering', 'can', 'provide', 'a', 'mechanism', 'for', 'trapping', 'planets', 'in', 'stable', 'snowball', 'states', 'the', 'presence', 'of', 'land', 'areas', 'with', 'warm', 'temperatures', 'and', 'liquid', 'surface', 'water', 'motivates', 'a', 'morenuanced', 'understanding', 'of', 'habitability', 'during', 'these', 'snowball', 'events']] | [-0.08446222044958555, 0.320787664737614, -0.04934279518278916, 0.10330363225253407, -0.051247445268033084, -0.045111224975067477, 0.13548258217898282, 0.31363040325809116, -0.19567516906194635, -0.32791501597678363, 0.17369049348606735, -0.25273215930431714, -0.16059611035772592, 0.18739031171156786, -0.17027462792990744, 0.011211815707708808, 0.11656344195631571, -0.0657413875333453, 0.03225520837037971, -0.25432736691749414, 0.2244538567721659, 0.05172092808518282, 0.08671622186868398, 0.06877478042401927, -0.02172177458135796, -0.16969997724826055, 0.05350262137545534, -0.07960570550115764, -0.17318740877775526, 0.044278080185513546, 0.39130183181355993, 0.11791224016477007, 0.2099091689340955, -0.5265623077303787, -0.3340136717296829, 0.1395112797831982, 0.08637386672814523, 0.028465165685446672, -0.00627381641664042, -0.26042535175253784, 0.005402089943262664, -0.17042752750956816, -0.1683566927532704, -0.02942704620062997, 0.06085479738766112, -0.04883749603485296, -0.26125214150856624, 0.09929129886460175, 0.07238076901455864, 0.16727229444048375, -0.16033715881745925, -0.17877827695097528, -0.1473878618745395, 0.10355475090332483, 0.013876845812894526, -0.032580422189409944, 0.26907235157314285, -0.09555079427274514, 0.03143646197070268, 0.4145423764255175, -0.11656820667861414, -0.06135314852307158, 0.3400568253637776, -0.2395555638585024, -0.06858056603953981, 0.20291224411450143, 0.22124762230452674, 0.11948926005635627, -0.12097586366956022, -0.015094813897008893, -0.02499022563796275, 0.10390434406740083, 0.1402687765503964, 0.028209920909567466, 0.43893476253883407, 0.20136942729076818, 0.18094524584156424, 0.04820337367998359, -0.20731150488992614, -0.14430932703712754, -0.12393203285361125, -0.19897460412572732, -0.08874847003728274, -0.0584995734528446, -0.016938484385215162, -0.166747498006583, 0.32515500793002605, 0.18234262523079706, 0.15123439395476965, -0.014355356053618545, 0.2674467244045039, -0.01939971756559512, 0.09739097908874281, 0.13273648269597657, 0.2967761149322075, 0.05277792317792773, 0.0758099333279235, -0.1818414729142423, 0.18767957498746624, -0.03848816473460333] |
1,803.00512 | Composable Planning with Attributes | The tasks that an agent will need to solve often are not known during
training. However, if the agent knows which properties of the environment are
important then, after learning how its actions affect those properties, it may
be able to use this knowledge to solve complex tasks without training
specifically for them. Towards this end, we consider a setup in which an
environment is augmented with a set of user defined attributes that
parameterize the features of interest. We propose a method that learns a policy
for transitioning between "nearby" sets of attributes, and maintains a graph of
possible transitions. Given a task at test time that can be expressed in terms
of a target set of attributes, and a current state, our model infers the
attributes of the current state and searches over paths through attribute space
to get a high level plan, and then uses its low level policy to execute the
plan. We show in 3D block stacking, grid-world games, and StarCraft that our
model is able to generalize to longer, more complex tasks at test time by
composing simpler learned policies.
| cs.AI | the tasks that an agent will need to solve often are not known during training however if the agent knows which properties of the environment are important then after learning how its actions affect those properties it may be able to use this knowledge to solve complex tasks without training specifically for them towards this end we consider a setup in which an environment is augmented with a set of user defined attributes that parameterize the features of interest we propose a method that learns a policy for transitioning between nearby sets of attributes and maintains a graph of possible transitions given a task at test time that can be expressed in terms of a target set of attributes and a current state our model infers the attributes of the current state and searches over paths through attribute space to get a high level plan and then uses its low level policy to execute the plan we show in 3d block stacking gridworld games and starcraft that our model is able to generalize to longer more complex tasks at test time by composing simpler learned policies | [['the', 'tasks', 'that', 'an', 'agent', 'will', 'need', 'to', 'solve', 'often', 'are', 'not', 'known', 'during', 'training', 'however', 'if', 'the', 'agent', 'knows', 'which', 'properties', 'of', 'the', 'environment', 'are', 'important', 'then', 'after', 'learning', 'how', 'its', 'actions', 'affect', 'those', 'properties', 'it', 'may', 'be', 'able', 'to', 'use', 'this', 'knowledge', 'to', 'solve', 'complex', 'tasks', 'without', 'training', 'specifically', 'for', 'them', 'towards', 'this', 'end', 'we', 'consider', 'a', 'setup', 'in', 'which', 'an', 'environment', 'is', 'augmented', 'with', 'a', 'set', 'of', 'user', 'defined', 'attributes', 'that', 'parameterize', 'the', 'features', 'of', 'interest', 'we', 'propose', 'a', 'method', 'that', 'learns', 'a', 'policy', 'for', 'transitioning', 'between', 'nearby', 'sets', 'of', 'attributes', 'and', 'maintains', 'a', 'graph', 'of', 'possible', 'transitions', 'given', 'a', 'task', 'at', 'test', 'time', 'that', 'can', 'be', 'expressed', 'in', 'terms', 'of', 'a', 'target', 'set', 'of', 'attributes', 'and', 'a', 'current', 'state', 'our', 'model', 'infers', 'the', 'attributes', 'of', 'the', 'current', 'state', 'and', 'searches', 'over', 'paths', 'through', 'attribute', 'space', 'to', 'get', 'a', 'high', 'level', 'plan', 'and', 'then', 'uses', 'its', 'low', 'level', 'policy', 'to', 'execute', 'the', 'plan', 'we', 'show', 'in', '3d', 'block', 'stacking', 'gridworld', 'games', 'and', 'starcraft', 'that', 'our', 'model', 'is', 'able', 'to', 'generalize', 'to', 'longer', 'more', 'complex', 'tasks', 'at', 'test', 'time', 'by', 'composing', 'simpler', 'learned', 'policies']] | [-0.05427973207915002, 0.0652059230852374, -0.08955330481272071, 0.05251479492728068, -0.12991292920384195, -0.15823034749126003, 0.09385995293331523, 0.44376656054569186, -0.29190039871040213, -0.3431043696154149, 0.08067977355645409, -0.23892518452378692, -0.15653838402458958, 0.16392406453979352, -0.111023019438127, 0.013202024187507128, 0.10786554668354051, 0.09014534007167063, -0.0563319349146363, -0.2723098813203446, 0.31495920668537786, 0.03606755230876227, 0.2463760857034715, -0.010398059694086432, 0.14558803668916626, -0.015060562405094345, 0.013341545600504164, 0.012635628785280842, -0.05605032529043671, 0.1164348187621042, 0.3246299294123967, 0.21691378179727303, 0.31663636504722537, -0.4344151399789318, -0.18914840379554618, 0.11252042993224697, 0.11861655097054218, 0.09713646571617573, 0.0026514508634879535, -0.31038250444677246, 0.1091866730724872, -0.1586499725348286, -0.07024596891395989, -0.11799089218519869, -0.001391263731244591, -0.015519861275235051, -0.3068042979056206, -0.02184525748554577, 0.05278084850156559, 0.00494512236396712, -0.06493547451194195, -0.05672431593355272, -0.029094628561588544, 0.20445442510398246, 0.012454409080292148, 0.05073001563845713, 0.15684124229285584, -0.17789252229305286, -0.15880130672819853, 0.3977801768129231, -0.01810434441112222, -0.21213631824620308, 0.21200609476222926, -0.07162925889415125, -0.143531826476226, 0.0996883474565762, 0.21802968911886697, 0.13213697246586284, -0.16725515653579545, 0.024291039707223003, -0.047930361112199164, 0.19448356629945138, 0.013930433897942464, -0.006157812817643086, 0.19807930906323257, 0.18938609839026485, 0.08994095349904671, 0.1507134380317243, -0.060882775960596505, -0.07227552299148664, -0.2583569473516877, -0.1309054663745306, -0.17259834416370878, -0.0011712697231159445, -0.05538910082802715, -0.12523176527071384, 0.40920499303898905, 0.22862138713882754, 0.22986802392919617, 0.1018442276549796, 0.3085889501837633, 0.06775760755299025, 0.07835536924133238, 0.10396656146997796, 0.1604188289462028, -0.016060448645974598, 0.1017698271554314, -0.17244240716700593, 0.13345030359598378, 0.024824742960082666] |
1,803.00513 | Integrative Bayesian Analysis of Brain Functional Networks Incorporating
Anatomical Knowledge | Recently, there has been increased interest in fusing multimodal imaging to
better understand brain organization. Specifically, accounting for knowledge of
anatomical pathways connecting brain regions should lead to desirable outcomes
such as increased accuracy in functional brain network estimates and greater
reproducibility of topological features across scanning sessions. Despite the
clear merits, major challenges persist in integrative analyses including an
incomplete understanding of the structure-function relationship and
inaccuracies in mapping anatomical structures due to deficiencies in existing
imaging technology. Clearly advanced network modeling tools are needed to
appropriately incorporate anatomical structure in constructing brain functional
networks. We propose a hierarchical Bayesian Gaussian graphical modeling
approach that estimates the functional networks via sparse precision matrices
whose degree of edge-specific shrinkage is informed by anatomical structure and
an independent baseline component. The approach flexibly identifies functional
connections supported by structural connectivity knowledge. This enables robust
brain network estimation even in the presence of mis-specified anatomical
knowledge, while accommodating heterogeneity in the structure-function
relationship. We implement the approach via an efficient optimization algorithm
yielding maximum a posteriori estimates. Extensive numerical studies reveal the
clear advantages of our approach over competing methods in accurately
estimating brain functional connectivity, even when the anatomical knowledge is
mis-specified. An application of the approach to the Philadelphia
Neurodevelopmental Cohort (PNC) study reveals gender based connectivity
differences across multiple age groups, and higher reproducibility in the
estimation of network metrics compared to alternative methods.
| stat.AP | recently there has been increased interest in fusing multimodal imaging to better understand brain organization specifically accounting for knowledge of anatomical pathways connecting brain regions should lead to desirable outcomes such as increased accuracy in functional brain network estimates and greater reproducibility of topological features across scanning sessions despite the clear merits major challenges persist in integrative analyses including an incomplete understanding of the structurefunction relationship and inaccuracies in mapping anatomical structures due to deficiencies in existing imaging technology clearly advanced network modeling tools are needed to appropriately incorporate anatomical structure in constructing brain functional networks we propose a hierarchical bayesian gaussian graphical modeling approach that estimates the functional networks via sparse precision matrices whose degree of edgespecific shrinkage is informed by anatomical structure and an independent baseline component the approach flexibly identifies functional connections supported by structural connectivity knowledge this enables robust brain network estimation even in the presence of misspecified anatomical knowledge while accommodating heterogeneity in the structurefunction relationship we implement the approach via an efficient optimization algorithm yielding maximum a posteriori estimates extensive numerical studies reveal the clear advantages of our approach over competing methods in accurately estimating brain functional connectivity even when the anatomical knowledge is misspecified an application of the approach to the philadelphia neurodevelopmental cohort pnc study reveals gender based connectivity differences across multiple age groups and higher reproducibility in the estimation of network metrics compared to alternative methods | [['recently', 'there', 'has', 'been', 'increased', 'interest', 'in', 'fusing', 'multimodal', 'imaging', 'to', 'better', 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1,803.00514 | Constructing Picard curves with complex multiplication using the Chinese
Remainder Theorem | We give a new algorithm for constructing Picard curves over a finite field
with a given endomorphism ring. This has important applications in cryptography
since curves of genus 3 allow for smaller key sizes than elliptic curves. For a
sextic CM-field $K$ containing the cube roots of unity, we define and compute
certain class polynomials modulo small primes and then use the Chinese
Remainder Theorem to construct the class polynomials over the rationals. We
also give some examples.
| math.NT math.AG | we give a new algorithm for constructing picard curves over a finite field with a given endomorphism ring this has important applications in cryptography since curves of genus 3 allow for smaller key sizes than elliptic curves for a sextic cmfield k containing the cube roots of unity we define and compute certain class polynomials modulo small primes and then use the chinese remainder theorem to construct the class polynomials over the rationals we also give some examples | [['we', 'give', 'a', 'new', 'algorithm', 'for', 'constructing', 'picard', 'curves', 'over', 'a', 'finite', 'field', 'with', 'a', 'given', 'endomorphism', 'ring', 'this', 'has', 'important', 'applications', 'in', 'cryptography', 'since', 'curves', 'of', 'genus', '3', 'allow', 'for', 'smaller', 'key', 'sizes', 'than', 'elliptic', 'curves', 'for', 'a', 'sextic', 'cmfield', 'k', 'containing', 'the', 'cube', 'roots', 'of', 'unity', 'we', 'define', 'and', 'compute', 'certain', 'class', 'polynomials', 'modulo', 'small', 'primes', 'and', 'then', 'use', 'the', 'chinese', 'remainder', 'theorem', 'to', 'construct', 'the', 'class', 'polynomials', 'over', 'the', 'rationals', 'we', 'also', 'give', 'some', 'examples']] | [-0.1820468412210735, 0.05332029107002876, -0.12560144700826362, 0.0894777307821175, -0.10806187474204657, -0.18168959460961512, -0.008724371598173793, 0.2988359485872281, -0.3112809978282222, -0.22673645313494864, 0.0875863230187231, -0.2386461504472372, -0.13909962034533516, 0.31721488078041243, -0.1315718647570182, 0.013920507734068312, 0.027321059071721557, 0.08423504095154409, -0.09213201620448859, -0.37997094539400095, 0.3642725312652496, -0.06689008888907921, 0.13122571224513918, 0.027412219817797918, 0.12568050229814476, 0.022313001076093852, -0.0017003995748475576, -0.04653835970048721, -0.18628731984883928, 0.1570989360782103, 0.34619961289736706, 0.08514042099555716, 0.23660740720776793, -0.3382070012247333, -0.12302581903685887, 0.27856564773724246, 0.13411228685006976, 0.05474846826818509, -0.04376642589266293, -0.16327984714044783, 0.14461078881793535, -0.172602901303878, -0.21483689341216516, -0.11758410257961935, 0.10749225663051057, 0.06943314745186423, -0.23911103242053053, -0.04509030586110058, 0.0477646216391944, 0.21486010835864222, -0.009217217361602264, -0.1733237987037939, 0.06135919899082719, 0.03916140538879121, -0.017792550100682255, 0.01708209317905876, 0.02768458602711176, -0.09437146634520151, -0.10430946428543673, 0.37082249556596464, -0.040693386805054244, -0.17495656514970157, 0.06948871928482102, -0.15301726916088507, -0.1519696486230271, 0.1915825358711374, 0.1615517592887418, 0.1679963715171489, 0.0013660616002594812, 0.14714945102773178, -0.14149788295169577, 0.14830055288397348, 0.1392832093466169, -0.010616206038647737, 0.1449501329841904, 0.027774155510064118, 0.06662806373079104, 0.2141341816033953, -0.04511324929383894, -0.052907869894391835, -0.34910343773663044, -0.20357982291338536, -0.11567489128225507, 0.1388228696424705, -0.165526716915804, -0.20684222979112887, 0.44033037073528153, 0.10672729262389624, 0.17389325198168173, 0.179746356088286, 0.2293617514272531, 0.07540986821270333, 0.10789788108414565, 0.10332254206024608, 0.06379899929631322, 0.17804250216636902, -0.01707126629144813, -0.07415792183019221, -0.017001396767460764, 0.21073523521996462] |
1,803.00515 | A Generative Model for Non-Intrusive Load Monitoring in Commercial
Buildings | In the recent years, there has been an increasing academic and industrial
interest for analyzing the electrical consumption of commercial buildings.
Whilst having similarities with the Non Intrusive Load Monitoring (NILM) tasks
for residential buildings, the nature of the signals that are collected from
large commercial buildings introduces additional difficulties to the NILM
research causing existing NILM approaches to fail. On the other hand, the
amount of publicly available datasets collected from commercial buildings is
very limited, which makes the NILM research even more challenging for this type
of large buildings. In this study, we aim at addressing these issues. We first
present an extensive statistical analysis of both commercial and residential
measurements from public and private datasets and show important differences.
Secondly, we develop an algorithm for generating synthetic current waveforms.
We then demonstrate using real measurement and quantitative metrics that both
our device model and our simulations are realistic and can be used to evaluate
NILM algorithms. Finally, to encourage research on commercial buildings we
release a synthesized dataset.
| cs.OH | in the recent years there has been an increasing academic and industrial interest for analyzing the electrical consumption of commercial buildings whilst having similarities with the non intrusive load monitoring nilm tasks for residential buildings the nature of the signals that are collected from large commercial buildings introduces additional difficulties to the nilm research causing existing nilm approaches to fail on the other hand the amount of publicly available datasets collected from commercial buildings is very limited which makes the nilm research even more challenging for this type of large buildings in this study we aim at addressing these issues we first present an extensive statistical analysis of both commercial and residential measurements from public and private datasets and show important differences secondly we develop an algorithm for generating synthetic current waveforms we then demonstrate using real measurement and quantitative metrics that both our device model and our simulations are realistic and can be used to evaluate nilm algorithms finally to encourage research on commercial buildings we release a synthesized dataset | [['in', 'the', 'recent', 'years', 'there', 'has', 'been', 'an', 'increasing', 'academic', 'and', 'industrial', 'interest', 'for', 'analyzing', 'the', 'electrical', 'consumption', 'of', 'commercial', 'buildings', 'whilst', 'having', 'similarities', 'with', 'the', 'non', 'intrusive', 'load', 'monitoring', 'nilm', 'tasks', 'for', 'residential', 'buildings', 'the', 'nature', 'of', 'the', 'signals', 'that', 'are', 'collected', 'from', 'large', 'commercial', 'buildings', 'introduces', 'additional', 'difficulties', 'to', 'the', 'nilm', 'research', 'causing', 'existing', 'nilm', 'approaches', 'to', 'fail', 'on', 'the', 'other', 'hand', 'the', 'amount', 'of', 'publicly', 'available', 'datasets', 'collected', 'from', 'commercial', 'buildings', 'is', 'very', 'limited', 'which', 'makes', 'the', 'nilm', 'research', 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1,803.00516 | The radical-annihilator monoid of a ring | Kuratowski's closure-complement problem gives rise to a monoid generated by
the closure and complement operations. Consideration of this monoid yielded an
interesting classification of topological spaces, and subsequent decades saw
further exploration using other set operations. This article is an exploration
of a natural analogue in ring theory: a monoid produced by "radical" and
"annihilator" maps on the set of ideals of a ring. We succeed in characterizing
semiprime rings and commutative dual rings by their radical-annihilator
monoids, and we determine the monoids for commutative local zero-dimensional
(in the sense of Krull dimension) rings.
| math.RA | kuratowskis closurecomplement problem gives rise to a monoid generated by the closure and complement operations consideration of this monoid yielded an interesting classification of topological spaces and subsequent decades saw further exploration using other set operations this article is an exploration of a natural analogue in ring theory a monoid produced by radical and annihilator maps on the set of ideals of a ring we succeed in characterizing semiprime rings and commutative dual rings by their radicalannihilator monoids and we determine the monoids for commutative local zerodimensional in the sense of krull dimension rings | [['kuratowskis', 'closurecomplement', 'problem', 'gives', 'rise', 'to', 'a', 'monoid', 'generated', 'by', 'the', 'closure', 'and', 'complement', 'operations', 'consideration', 'of', 'this', 'monoid', 'yielded', 'an', 'interesting', 'classification', 'of', 'topological', 'spaces', 'and', 'subsequent', 'decades', 'saw', 'further', 'exploration', 'using', 'other', 'set', 'operations', 'this', 'article', 'is', 'an', 'exploration', 'of', 'a', 'natural', 'analogue', 'in', 'ring', 'theory', 'a', 'monoid', 'produced', 'by', 'radical', 'and', 'annihilator', 'maps', 'on', 'the', 'set', 'of', 'ideals', 'of', 'a', 'ring', 'we', 'succeed', 'in', 'characterizing', 'semiprime', 'rings', 'and', 'commutative', 'dual', 'rings', 'by', 'their', 'radicalannihilator', 'monoids', 'and', 'we', 'determine', 'the', 'monoids', 'for', 'commutative', 'local', 'zerodimensional', 'in', 'the', 'sense', 'of', 'krull', 'dimension', 'rings']] | [-0.17923752145881774, 0.055134005997622866, -0.06166272244155808, 0.0649256275563691, -0.08058449610196534, -0.10519524953097746, -0.01869325469353146, 0.3267369749605335, -0.4175739679147579, -0.15912144903534203, 0.1035971264780489, -0.24303652939695855, -0.10291377638757068, 0.20923993398024832, -0.1467675285049907, -0.042436995813923496, 0.0360737321798199, 0.059989338798288216, -0.08235523147728815, -0.277037979620609, 0.39483577930819125, 0.06011482018361529, 0.23070896092441776, 0.012291991342139501, 0.07380469166423365, 0.028107614982472634, -0.09830345112269603, 0.05782134379310313, -0.1994034753616659, 0.13688613280969403, 0.31668374252565684, 0.10225829796274744, 0.20328374934552979, -0.43756411071135715, -0.08507154566506224, 0.19555689909205, 0.11084161428434233, -0.0024493015621618558, -0.0597409066100735, -0.26556089769808516, 0.09362764682580707, -0.24654445557865085, -0.10902170866968171, -0.10244260375858635, 0.13987696087688847, -0.0009881891360286102, -0.26976116515335535, -0.06930971806568484, 0.17072859584536623, 0.20305233252465085, -0.04621530332106857, -0.04474494320350469, -0.0036674312000433283, 0.05655886127578435, -0.08634965471492739, -0.013561908180715256, 0.12112134716082965, -0.0965474051062233, -0.188630338579226, 0.3773069679286451, -0.023182756995709652, -0.14271276245164055, 0.1769378665954836, -0.17958798148839544, -0.10328740924997355, 0.1566917572310695, 0.03470575471999504, 0.14625810935933103, -0.0474438793075982, 0.2028910495229416, -0.20196896534092645, 0.05712182248281615, 0.11520385946477613, 0.072520521639656, 0.2057714710983458, 0.13055760089948934, 0.09200239941660535, 0.18028920338181179, 0.07599812196517583, 0.00607141903983379, -0.2826503285317011, -0.2078939061211322, -0.12689945257459118, 0.10850983946233668, -0.03680503156999381, -0.1561637518887398, 0.4472973542388088, 0.12415770771763017, 0.13351582426337466, 0.06242666085080434, 0.21822343302029434, 0.007704386655654338, 0.07836860895998055, 0.02313602973452127, 0.08602574136188273, 0.23671764450683508, -0.01934269914323444, -0.14486744469632545, -0.009160674247209745, 0.23988357327517965] |
1,803.00517 | ON a certain class of norms in semimodular spaces and their monotonicity
properties | Let X be a linear space over K, K=R or K=C and let for n>1 \rho_i be s-convex
semimodular defined on X for any i\in{1,...,n-1}. Put \rho=\max_{1\leq i \leq
n-1}\{\rho_i\} and
X_{\rho}= { x \in X: \rho(dx) < \infty for some d > 0 }. In this paper we
define a new class of s-norms (norms if s=1) on X_{\rho}. In particular, our
defintion generalizes in a natural way the Orlicz-Amemiya and Luxemburg norms
defined for s-convex semimodulars. Then, we investigate order continuous, the
Fatou Property and various monotonicity properties of semimodular spaces
equipped with these s-norms.
| math.FA | let x be a linear space over k kr or kc and let for n1 rho_i be sconvex semimodular defined on x for any iin1n1 put rhomax_1leq i leq n1rho_i and x_rho x in x rhodx infty for some d 0 in this paper we define a new class of snorms norms if s1 on x_rho in particular our defintion generalizes in a natural way the orliczamemiya and luxemburg norms defined for sconvex semimodulars then we investigate order continuous the fatou property and various monotonicity properties of semimodular spaces equipped with these snorms | [['let', 'x', 'be', 'a', 'linear', 'space', 'over', 'k', 'kr', 'or', 'kc', 'and', 'let', 'for', 'n1', 'rho_i', 'be', 'sconvex', 'semimodular', 'defined', 'on', 'x', 'for', 'any', 'iin1n1', 'put', 'rhomax_1leq', 'i', 'leq', 'n1rho_i', 'and', 'x_rho', 'x', 'in', 'x', 'rhodx', 'infty', 'for', 'some', 'd', '0', 'in', 'this', 'paper', 'we', 'define', 'a', 'new', 'class', 'of', 'snorms', 'norms', 'if', 's1', 'on', 'x_rho', 'in', 'particular', 'our', 'defintion', 'generalizes', 'in', 'a', 'natural', 'way', 'the', 'orliczamemiya', 'and', 'luxemburg', 'norms', 'defined', 'for', 'sconvex', 'semimodulars', 'then', 'we', 'investigate', 'order', 'continuous', 'the', 'fatou', 'property', 'and', 'various', 'monotonicity', 'properties', 'of', 'semimodular', 'spaces', 'equipped', 'with', 'these', 'snorms']] | [-0.14173399588499946, 0.12229992969539659, -0.029777410820169353, 0.028299880046772117, -0.04485756116009307, -0.1645085547258542, 0.006225089319103837, 0.3858130874818769, -0.3104743088445701, -0.14771377228885546, 0.09911916941543505, -0.27453688109272173, -0.07312814670015426, 0.19263468605423367, -0.10940059830552373, -0.009847956971832734, -0.056441220112316226, 0.07956876942952132, -0.1276066256151802, -0.2589981346765811, 0.3569314085782088, -0.12083356899922532, 0.14988113723524, 0.03855168920053148, 0.11058385265006244, 0.013474248456715167, 0.048429986986535035, 0.02706578689668831, -0.2382185666382998, 0.1405295786934894, 0.26844065139691037, 0.11613363805815749, 0.2852719843537472, -0.3394827902231408, -0.16779770840751543, 0.2210379445325883, 0.13414751572652195, -0.14161393874935035, 0.021319024866960686, -0.2783476325586952, 0.1298007902036282, -0.1318617663934998, -0.142322758330439, -0.09322864702841181, 0.10816477143858698, 0.07205184228482774, -0.3431736005512976, -0.029399940984901684, 0.11962478342412532, 0.10776212845725575, -0.06032471864580594, -0.1699310289695859, -0.034698352789046004, 0.021057672977939933, -0.02764872656921032, 0.12094864914001062, 0.006173910664116171, -0.018797334797423463, -0.0742661774535824, 0.3460902901494811, -0.09801094758126286, -0.25085191269158974, 0.1326608847821367, -0.19764495881852404, -0.1982172121984306, 0.037376074313089765, 0.1541089901015505, 0.20005291978689446, -0.029351865915560174, 0.22438876409800831, -0.11117662219651814, 0.10767353084152458, 0.11594951166717828, 0.07479015671502232, 0.0917013520796398, 0.08498926558424773, 0.12007354291948094, 0.10585052378197339, 0.0025443195087043033, 0.04533774130134683, -0.3761446115764222, -0.21305306428165613, -0.12692291283145032, 0.16006199931779383, -0.11412978369204713, -0.12534300292488829, 0.29844252608352523, 0.08840281144855008, 0.1994386228636421, 0.12486760221935551, 0.13564851102633294, 0.05590245198999028, -3.868335023008544e-05, 0.09838547505673835, 0.0758714431474633, 0.17655879104959554, 0.02104516415562395, -0.09469545853656085, 0.02542887576695146, 0.15862868435616637] |
1,803.00518 | Stochastic formalism for thermally driven distribution frontier: A
nonempirical approach to the potential escape problem | We develop a non-empirical scheme to search for the minimum-energy escape
paths from the minima of the potential surface to unknown saddle points nearby.
A stochastic algorithm is constructed to move the walkers up the surface
through the potential valleys. This method employs only the local gradient and
diagonal part of the Hessian matrix of the potential. An application to a
two-dimensional model potential is presented to demonstrate the successful
finding of the paths to the saddle points. The present scheme could serve as a
starting point toward first-principles simulation of rare events across the
potential basins free from empirical collective variables.
| physics.comp-ph | we develop a nonempirical scheme to search for the minimumenergy escape paths from the minima of the potential surface to unknown saddle points nearby a stochastic algorithm is constructed to move the walkers up the surface through the potential valleys this method employs only the local gradient and diagonal part of the hessian matrix of the potential an application to a twodimensional model potential is presented to demonstrate the successful finding of the paths to the saddle points the present scheme could serve as a starting point toward firstprinciples simulation of rare events across the potential basins free from empirical collective variables | [['we', 'develop', 'a', 'nonempirical', 'scheme', 'to', 'search', 'for', 'the', 'minimumenergy', 'escape', 'paths', 'from', 'the', 'minima', 'of', 'the', 'potential', 'surface', 'to', 'unknown', 'saddle', 'points', 'nearby', 'a', 'stochastic', 'algorithm', 'is', 'constructed', 'to', 'move', 'the', 'walkers', 'up', 'the', 'surface', 'through', 'the', 'potential', 'valleys', 'this', 'method', 'employs', 'only', 'the', 'local', 'gradient', 'and', 'diagonal', 'part', 'of', 'the', 'hessian', 'matrix', 'of', 'the', 'potential', 'an', 'application', 'to', 'a', 'twodimensional', 'model', 'potential', 'is', 'presented', 'to', 'demonstrate', 'the', 'successful', 'finding', 'of', 'the', 'paths', 'to', 'the', 'saddle', 'points', 'the', 'present', 'scheme', 'could', 'serve', 'as', 'a', 'starting', 'point', 'toward', 'firstprinciples', 'simulation', 'of', 'rare', 'events', 'across', 'the', 'potential', 'basins', 'free', 'from', 'empirical', 'collective', 'variables']] | [-0.13471370686630846, 0.05047786852140002, -0.1335565583899106, 0.040478215512920024, -0.028207253477554404, -0.10364278648779088, 0.16569346890273487, 0.34495051239854563, -0.31868287964778785, -0.2729673903691126, 0.02697918776596221, -0.2946987198483126, -0.1930878304456379, 0.16051100579309552, -0.007136393521054119, 0.05641772194455067, 0.055504488848907615, 0.008075614989388222, -0.052853249895669446, -0.21537354527790026, 0.27764495439138653, 0.07707593686805636, 0.23044997760934718, 0.03135815043659771, 0.1198714927258883, 0.0029716005539704186, 0.014769545062353798, -0.010292712964263618, -0.10002859242890469, 0.11936826980901043, 0.2156034801429247, 0.08588334601646398, 0.2982732344637899, -0.4251234707440816, -0.22290346348617116, 0.14819460397805362, 0.14936632851530185, 0.16347725298620908, -0.08423735297915033, -0.28987672627337424, 0.06732595249024384, -0.10117045831957869, -0.2218743095576179, -0.07137888216404427, -0.006265619952304691, 0.05581335399605736, -0.27315714150009784, 0.04960426419297708, -0.04269433024741125, 0.025670422083588645, -0.06965224811916843, -0.12642364595633218, -0.05080580077700171, 0.13166453571551862, 0.04732160494256509, 0.0540381279116606, 0.1715089126407881, -0.06966263150074976, -0.11382355531403686, 0.3765845257405411, -0.042551216042792314, -0.17116827428039602, 0.20259483162240655, -0.07120854724837723, -0.06296958701739855, 0.1819935865225453, 0.18591215778781356, 0.14056223641861887, -0.1772479538659693, 0.07871388694597865, 0.012446326154281897, 0.07309089782196965, -0.005965204571611157, -0.04867665559582997, 0.21820942536407315, 0.1489478141051151, 0.16017243219539523, 0.12029128462788374, -0.14407589712737165, -0.15527593862384045, -0.31352177682314436, -0.1609025214908316, -0.22202808027356571, 0.007188705207013032, -0.09553060563741704, -0.2233949928160976, 0.4389473834766535, 0.16081011627672934, 0.21509054090425955, 0.026687499712958623, 0.28375812965974795, 0.10361443667138434, 0.04950971642107356, 0.07634381460044168, 0.22331662464192978, 0.09955825187795449, 0.06998585354463727, -0.21562597187128665, 0.017807982736449762, 0.11654883219550054] |
1,803.00519 | Heavy and heavy-light mesons in the Covariant Spectator Theory | The masses and vertex functions of heavy and heavy-light mesons, described as
quark-antiquark bound states, are calculated with the Covariant Spectator
Theory (CST). We use a kernel with an adjustable mixture of Lorentz scalar,
pseudoscalar, and vector linear confining interaction, together with a
one-gluon-exchange kernel. A series of fits to the heavy and heavy-light meson
spectrum were calculated, and we discuss what conclusions can be drawn from it,
especially about the Lorentz structure of the kernel. We also apply the
Brodsky-Huang-Lepage prescription to express the CST wave functions for heavy
quarkonia in terms of light-front variables. They agree remarkably well with
light-front wave functions obtained in the Hamiltonian basis light-front
quantization (BLFQ) approach, even in excited states.
| hep-ph | the masses and vertex functions of heavy and heavylight mesons described as quarkantiquark bound states are calculated with the covariant spectator theory cst we use a kernel with an adjustable mixture of lorentz scalar pseudoscalar and vector linear confining interaction together with a onegluonexchange kernel a series of fits to the heavy and heavylight meson spectrum were calculated and we discuss what conclusions can be drawn from it especially about the lorentz structure of the kernel we also apply the brodskyhuanglepage prescription to express the cst wave functions for heavy quarkonia in terms of lightfront variables they agree remarkably well with lightfront wave functions obtained in the hamiltonian basis lightfront quantization blfq approach even in excited states | [['the', 'masses', 'and', 'vertex', 'functions', 'of', 'heavy', 'and', 'heavylight', 'mesons', 'described', 'as', 'quarkantiquark', 'bound', 'states', 'are', 'calculated', 'with', 'the', 'covariant', 'spectator', 'theory', 'cst', 'we', 'use', 'a', 'kernel', 'with', 'an', 'adjustable', 'mixture', 'of', 'lorentz', 'scalar', 'pseudoscalar', 'and', 'vector', 'linear', 'confining', 'interaction', 'together', 'with', 'a', 'onegluonexchange', 'kernel', 'a', 'series', 'of', 'fits', 'to', 'the', 'heavy', 'and', 'heavylight', 'meson', 'spectrum', 'were', 'calculated', 'and', 'we', 'discuss', 'what', 'conclusions', 'can', 'be', 'drawn', 'from', 'it', 'especially', 'about', 'the', 'lorentz', 'structure', 'of', 'the', 'kernel', 'we', 'also', 'apply', 'the', 'brodskyhuanglepage', 'prescription', 'to', 'express', 'the', 'cst', 'wave', 'functions', 'for', 'heavy', 'quarkonia', 'in', 'terms', 'of', 'lightfront', 'variables', 'they', 'agree', 'remarkably', 'well', 'with', 'lightfront', 'wave', 'functions', 'obtained', 'in', 'the', 'hamiltonian', 'basis', 'lightfront', 'quantization', 'blfq', 'approach', 'even', 'in', 'excited', 'states']] | [-0.06675984045793103, 0.24226204329481224, -0.11731395276629517, 0.1536995234230581, -0.06840225008443698, -0.13726236948815101, 0.011109717362401132, 0.3752512194407292, -0.17548972520276776, -0.20830749532279486, -0.05930226527325586, -0.2872712195564348, -0.08319572758120604, 0.09136494514970188, 0.08083895502341354, 0.1363197992850318, 0.058226854304592006, 0.0676691850177689, -0.13133616871936804, -0.17191455786864662, 0.34802320246528995, 0.00652573715385973, 0.1954337602529006, 0.10348109679264772, 0.04705192677230916, 0.07621225115691876, -0.027910749917515576, -0.041985355823054016, -0.06951888504191342, 0.09405761207633007, 0.2197954838973088, 0.10290573646800004, 0.14649614540692896, -0.41619907380041915, -0.20045027865343687, 0.030780823847565513, 0.14740872191480145, 0.1359329252806293, 0.018765240752448637, -0.31614100811684615, 0.023837922352891512, -0.2272895529316977, -0.19007740644603752, -0.16701531578969753, -0.03165198424095353, -0.013556981235384367, -0.32732584246913865, 0.08512357389330506, -0.07531904005226639, -0.003103683822048016, -0.11067285143937437, -0.22774585031577918, -0.04011908318632497, 0.03837845361847271, 0.09083657476525658, 0.1393895856001311, 0.14216532771531334, -0.16865696666889593, -0.10981047212277563, 0.4068063171262033, -0.10440429649713776, -0.2625199215343365, 0.11551806186604449, -0.16716911176490223, -0.106583568902336, 0.04415974232694532, 0.18949245752241367, 0.08798357460679662, -0.17056140897877148, 0.11993677176603039, -0.058681155869122356, 0.12684201820490834, 0.12553372820361686, 0.09003436104911897, 0.16205827256318373, 0.06536928957933162, -0.08246981356149682, 0.0895273635764885, 0.006155419135048317, -0.132857070897475, -0.3834334041716324, -0.10162789516775814, -0.18617844866373792, 0.03844466328329375, -0.10177410023750112, -0.1558597769954393, 0.43409803508120215, 0.03974687140614081, 0.2253851249702593, 0.0481123790367801, 0.26619815957756376, 0.16252411678970718, 0.08826083921564695, 0.13274684386391544, 0.25299297520715713, 0.2390298530813625, 0.10047965522947061, -0.25113084795088786, -0.06545673619207536, 0.12444789093942979] |
1,803.0052 | Type alternative for Frostman measures | For a finite positive Borel measure $\mu$ on $\mathbb R$ its exponential
type, $T_\mu$, is defined as the infimum of $a>0$ such that finite linear
combinations of complex exponentials with frequencies between 0 and $a$ are
dense in $L^2(\mu)$. The definition can be easily extended from finite to
broader classes of measures. In this paper we prove a new formula for $T_\mu$
and use it to study growth and additivity properties of measures with finite
positive type. As one of the applications, we show that Frostman measures on
$\mathbb R$ may only have type zero or infinity.
| math.CA | for a finite positive borel measure mu on mathbb r its exponential type t_mu is defined as the infimum of a0 such that finite linear combinations of complex exponentials with frequencies between 0 and a are dense in l2mu the definition can be easily extended from finite to broader classes of measures in this paper we prove a new formula for t_mu and use it to study growth and additivity properties of measures with finite positive type as one of the applications we show that frostman measures on mathbb r may only have type zero or infinity | [['for', 'a', 'finite', 'positive', 'borel', 'measure', 'mu', 'on', 'mathbb', 'r', 'its', 'exponential', 'type', 't_mu', 'is', 'defined', 'as', 'the', 'infimum', 'of', 'a0', 'such', 'that', 'finite', 'linear', 'combinations', 'of', 'complex', 'exponentials', 'with', 'frequencies', 'between', '0', 'and', 'a', 'are', 'dense', 'in', 'l2mu', 'the', 'definition', 'can', 'be', 'easily', 'extended', 'from', 'finite', 'to', 'broader', 'classes', 'of', 'measures', 'in', 'this', 'paper', 'we', 'prove', 'a', 'new', 'formula', 'for', 't_mu', 'and', 'use', 'it', 'to', 'study', 'growth', 'and', 'additivity', 'properties', 'of', 'measures', 'with', 'finite', 'positive', 'type', 'as', 'one', 'of', 'the', 'applications', 'we', 'show', 'that', 'frostman', 'measures', 'on', 'mathbb', 'r', 'may', 'only', 'have', 'type', 'zero', 'or', 'infinity']] | [-0.10831982576163467, 0.13913811199827908, -0.08562718502716306, 0.0654788540637831, -0.07098201346420444, -0.16618767301984055, 0.017398656097471175, 0.35009654255622286, -0.3088715252629721, -0.14991886308896787, 0.14069722975681045, -0.2811278806058402, -0.10513785695801153, 0.20507060257074683, -0.06473572751430352, 0.015874975072291977, 0.003554427859459802, 0.09320921175777144, -0.11155263291787088, -0.2195346382225758, 0.35509178229636446, -0.06703996911798556, 0.21490926516587971, 0.08919168910798952, 0.08122493847352501, -0.03632267104154549, -0.020995086582243135, 0.056159410512881335, -0.1812577201493058, 0.09007223766325906, 0.24468438911069298, 0.16093435211193546, 0.3001086477036636, -0.3232063065671852, -0.2028116076781424, 0.23247199791685208, 0.13580606846599697, -0.018233482524291755, -0.0036626782882766625, -0.2675540267979515, 0.16426343225019494, -0.17251962417563826, -0.15532921968968874, -0.07417760612731128, 0.10146319368834962, 0.08394274044573095, -0.2971735829775481, 0.0514368606856112, 0.0986125140892553, 0.08373418986586105, -0.04891202538922314, -0.11595779882993587, -0.010240258783409275, 0.0906793718135042, 0.02458221972055887, 0.02800005832783033, 0.0728316875990749, -0.024079564764385216, -0.09086891198914844, 0.3502786314959839, -0.15585808453063682, -0.28175472216584635, 0.2041835541136025, -0.21684634078716494, -0.12367904977152873, 0.06470179300516431, 0.15802829864329285, 0.15496017997988412, -0.06567354295786816, 0.19688852238720858, -0.07192522574446558, 0.09545887467096147, 0.09364017604648606, 0.07243916697166476, 0.15133409525661431, 0.05555969261631523, 0.12097845870050956, 0.1532267453953067, -0.0018949945860532757, -0.0460511149992187, -0.3719319028338206, -0.18782427967357995, -0.19759615914915332, 0.14695995620730304, -0.1132064763327266, -0.21370692922374876, 0.34298081288939897, 0.05647335205462368, 0.20661283210015943, 0.1332827107308759, 0.21616696605708488, 0.1462252864484512, 0.07587547092002422, 0.029047785829929708, 0.09479147144929342, 0.14226388214060018, 0.02125750366867203, -0.1574992806693904, 0.03729578798406364, 0.10950170778525398] |
1,803.00521 | Segmented Successive Cancellation List Polar Decoding with Tailored CRC | As the first error correction codes provably achieving the symmetric capacity
of binary-input discrete memory-less channels (B-DMCs), polar codes have been
recently chosen by 3GPP for eMBB control channel. Among existing algorithms,
CRC-aided successive cancellation list (CA-SCL) decoding is favorable due to
its good performance, where CRC is placed at the end of the decoding and helps
to eliminate the invalid candidates before final selection. However, the good
performance is obtained with a complexity increase that is linear in list size
$L$. In this paper, the tailored CRC-aided SCL (TCA-SCL) decoding is proposed
to balance performance and complexity. Analysis on how to choose the proper CRC
for a given segment is proposed with the help of \emph{virtual transform} and
\emph{virtual length}. For further performance improvement, hybrid automatic
repeat request (HARQ) scheme is incorporated. Numerical results have shown
that, with the similar complexity as the state-of-the-art, the proposed TCA-SCL
and HARQ-TCA-SCL schemes achieve $0.1$ dB and $0.25$ dB performance gain at
frame error rate $\textrm{FER}=10^{-2}$, respectively. Finally, an efficient
TCA-SCL decoder is implemented with FPGA demonstrating its advantages over
CA-SCL decoder.
| eess.SP cs.IT math.IT | as the first error correction codes provably achieving the symmetric capacity of binaryinput discrete memoryless channels bdmcs polar codes have been recently chosen by 3gpp for embb control channel among existing algorithms crcaided successive cancellation list cascl decoding is favorable due to its good performance where crc is placed at the end of the decoding and helps to eliminate the invalid candidates before final selection however the good performance is obtained with a complexity increase that is linear in list size l in this paper the tailored crcaided scl tcascl decoding is proposed to balance performance and complexity analysis on how to choose the proper crc for a given segment is proposed with the help of emphvirtual transform and emphvirtual length for further performance improvement hybrid automatic repeat request harq scheme is incorporated numerical results have shown that with the similar complexity as the stateoftheart the proposed tcascl and harqtcascl schemes achieve 01 db and 025 db performance gain at frame error rate textrmfer102 respectively finally an efficient tcascl decoder is implemented with fpga demonstrating its advantages over cascl decoder | [['as', 'the', 'first', 'error', 'correction', 'codes', 'provably', 'achieving', 'the', 'symmetric', 'capacity', 'of', 'binaryinput', 'discrete', 'memoryless', 'channels', 'bdmcs', 'polar', 'codes', 'have', 'been', 'recently', 'chosen', 'by', '3gpp', 'for', 'embb', 'control', 'channel', 'among', 'existing', 'algorithms', 'crcaided', 'successive', 'cancellation', 'list', 'cascl', 'decoding', 'is', 'favorable', 'due', 'to', 'its', 'good', 'performance', 'where', 'crc', 'is', 'placed', 'at', 'the', 'end', 'of', 'the', 'decoding', 'and', 'helps', 'to', 'eliminate', 'the', 'invalid', 'candidates', 'before', 'final', 'selection', 'however', 'the', 'good', 'performance', 'is', 'obtained', 'with', 'a', 'complexity', 'increase', 'that', 'is', 'linear', 'in', 'list', 'size', 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1,803.00522 | Modelling of surfactant-driven front instabilities in spreading
bacterial colonies | The spreading of bacterial colonies at solid-air interfaces is determined by
the physico-chemical properties of the involved interfaces. The production of
surfactant molecules by bacteria is a widespread strategy that allows the
colony to efficiently expand over the substrate. On the one hand, surfactant
molecules lower the surface tension of the colony, effectively increasing the
wettability of the substrate, which facilitates spreading. On the other hand,
gradients in the surface concentration of surfactant molecules result in
Marangoni flows that drive spreading. These flows may cause an instability of
the circular colony shape and the subsequent formation of fingers. In this
work, we study the effect of bacterial surfactant production and substrate
wettability on colony growth and shape within the framework of a hydrodynamic
thin film model. We show that variations in the wettability and surfactant
production are sufficient to reproduce four different types of colony growth,
which have been described in the literature, namely, arrested and continuous
spreading of circular colonies, slightly modulated front lines and the
formation of pronounced fingers.
| physics.bio-ph cond-mat.soft | the spreading of bacterial colonies at solidair interfaces is determined by the physicochemical properties of the involved interfaces the production of surfactant molecules by bacteria is a widespread strategy that allows the colony to efficiently expand over the substrate on the one hand surfactant molecules lower the surface tension of the colony effectively increasing the wettability of the substrate which facilitates spreading on the other hand gradients in the surface concentration of surfactant molecules result in marangoni flows that drive spreading these flows may cause an instability of the circular colony shape and the subsequent formation of fingers in this work we study the effect of bacterial surfactant production and substrate wettability on colony growth and shape within the framework of a hydrodynamic thin film model we show that variations in the wettability and surfactant production are sufficient to reproduce four different types of colony growth which have been described in the literature namely arrested and continuous spreading of circular colonies slightly modulated front lines and the formation of pronounced fingers | [['the', 'spreading', 'of', 'bacterial', 'colonies', 'at', 'solidair', 'interfaces', 'is', 'determined', 'by', 'the', 'physicochemical', 'properties', 'of', 'the', 'involved', 'interfaces', 'the', 'production', 'of', 'surfactant', 'molecules', 'by', 'bacteria', 'is', 'a', 'widespread', 'strategy', 'that', 'allows', 'the', 'colony', 'to', 'efficiently', 'expand', 'over', 'the', 'substrate', 'on', 'the', 'one', 'hand', 'surfactant', 'molecules', 'lower', 'the', 'surface', 'tension', 'of', 'the', 'colony', 'effectively', 'increasing', 'the', 'wettability', 'of', 'the', 'substrate', 'which', 'facilitates', 'spreading', 'on', 'the', 'other', 'hand', 'gradients', 'in', 'the', 'surface', 'concentration', 'of', 'surfactant', 'molecules', 'result', 'in', 'marangoni', 'flows', 'that', 'drive', 'spreading', 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|
1,803.00523 | An elementary method for the fidel codification of texts written in
Romanian language (O metod\u{a} elementar\u{a} pentru codificarea fidel\u{a}
a textelor scrise \^in limba rom\^an\u{a}) | In this paper an elementary (cryptographic system) for the codification and
decodification of texts written in Romanian language is presented. This method
is based on the alphabet A and the 7x7-Square. The theme presented is at the
interference between mathematics, Romanian language and cryptography.
| math.HO | in this paper an elementary cryptographic system for the codification and decodification of texts written in romanian language is presented this method is based on the alphabet a and the 7x7square the theme presented is at the interference between mathematics romanian language and cryptography | [['in', 'this', 'paper', 'an', 'elementary', 'cryptographic', 'system', 'for', 'the', 'codification', 'and', 'decodification', 'of', 'texts', 'written', 'in', 'romanian', 'language', 'is', 'presented', 'this', 'method', 'is', 'based', 'on', 'the', 'alphabet', 'a', 'and', 'the', '7x7square', 'the', 'theme', 'presented', 'is', 'at', 'the', 'interference', 'between', 'mathematics', 'romanian', 'language', 'and', 'cryptography']] | [-0.11987640290144122, 0.006449163439919218, -0.11429409969215547, 0.0965434920314389, -0.05674115430918478, -0.11533390223935601, 0.03688592577098115, 0.33098783689950195, -0.28188254684209824, -0.2930618865592849, 0.0846145349829125, -0.2810818874055431, -0.17465274798866762, 0.23303711671559585, -0.18076977756850066, 0.010030454246415979, 0.020677857599886402, 0.08961616449301973, 0.018307699422751154, -0.2836911046345319, 0.3150391128978559, 0.02559339933629547, 0.3215925878889504, 0.08032794568377237, 0.11035993970220997, 0.032195494551810304, -0.0763191884560954, -0.11504353738079469, -0.036701165560987736, 0.19189996004015916, 0.3831556312562454, 0.21151386887677723, 0.2791948144856308, -0.3572994579250614, -0.08387449922572289, 0.025387278403199855, 0.08403175200025241, 0.1256529110528174, -0.056685299559917655, -0.31813272044417407, 0.08824179722883162, -0.1850694619241126, 0.025006155261681193, 0.03490558514992396, 0.07469081124734311, -0.02128617727153358, -0.19669117148233844, -0.022004144155376014, 0.13162103135670936, 0.21938171729977643, 0.0557024902664125, -0.11808098218863874, 0.07208673056170699, 0.1211012182092028, 0.03413630840701184, 0.08012397929893009, 0.06579161271275509, -0.08785437569687408, -0.14318453968458233, 0.45022566456879887, -0.006667583576580953, -0.21583294726553418, 0.16906076333197279, -0.0604920861577349, -0.18097472545646487, 0.016546696202740782, 0.2113395482301712, 0.08587233662339193, -0.18507680628404377, 0.10564895194450703, -0.0497179293916339, 0.24169384711422026, 0.08871084068059212, 0.02027573055099873, 0.19488386535972713, 0.22589960512483404, -0.05336291983812338, 0.14833498976769902, 0.01625879249158537, -0.09753765493986152, -0.3451833291245358, -0.2013084049380961, -0.22087636055602206, -0.062270657669398044, 0.010255422111575692, -0.16075887109729506, 0.4087890100532344, 0.15667891581099302, 0.020992731320716086, 0.061118679431577526, 0.30676185007074047, 0.0840519989751989, 0.029512273369445688, 0.09308382763438636, 0.11460776763435986, 0.08618924270073573, 0.20746562465847956, -0.13849387312352301, 0.09968067602520543, 0.09753252278702955] |
1,803.00524 | A search for Extraterrestrial Intelligence (SETI) toward the Galactic
Anticenter with the Murchison Widefield Array | Following from the results of the first systematic modern low frequency
Search for Extraterrestrial Intelligence (SETI) using the Murchison Widefield
Array (MWA), which was directed toward a Galactic Center field, we report a
second survey toward a Galactic Anticenter field. Using the MWA in the
frequency range of 99 to 122 MHz over a three hour period, a 625 sq. deg. field
centered on Orion KL (in the general direction of the Galactic Anticenter) was
observed with a frequency resolution of 10 kHz. Within this field, 22
exoplanets are known. At the positions of these exoplanets, we searched for
narrow band signals consistent with radio transmissions from intelligent
civilisations. No such signals were found with a 5-sigma detection threshold.
Our sample is significantly different to the 45 exoplanets previously studied
with the MWA toward the Galactic Center Tingay et al.(2016), since the Galactic
Center sample is dominated by exoplanets detected using microlensing, hence at
much larger distances compared to the exoplants toward the Anticenter, found
via radial velocity and transit detection methods. Our average effective
sensitivity to extraterrestrial transmiter power is therefore much improved for
the Anticenter sample. Added to this, our data processing techniques have
improved, reducing our observational errors, leading to our best detection
limit being reduced by approximately a factor of four compared to our
previously published results.
| physics.pop-ph astro-ph.IM | following from the results of the first systematic modern low frequency search for extraterrestrial intelligence seti using the murchison widefield array mwa which was directed toward a galactic center field we report a second survey toward a galactic anticenter field using the mwa in the frequency range of 99 to 122 mhz over a three hour period a 625 sq deg field centered on orion kl in the general direction of the galactic anticenter was observed with a frequency resolution of 10 khz within this field 22 exoplanets are known at the positions of these exoplanets we searched for narrow band signals consistent with radio transmissions from intelligent civilisations no such signals were found with a 5sigma detection threshold our sample is significantly different to the 45 exoplanets previously studied with the mwa toward the galactic center tingay et al2016 since the galactic center sample is dominated by exoplanets detected using microlensing hence at much larger distances compared to the exoplants toward the anticenter found via radial velocity and transit detection methods our average effective sensitivity to extraterrestrial transmiter power is therefore much improved for the anticenter sample added to this our data processing techniques have improved reducing our observational errors leading to our best detection limit being reduced by approximately a factor of four compared to our previously published results | [['following', 'from', 'the', 'results', 'of', 'the', 'first', 'systematic', 'modern', 'low', 'frequency', 'search', 'for', 'extraterrestrial', 'intelligence', 'seti', 'using', 'the', 'murchison', 'widefield', 'array', 'mwa', 'which', 'was', 'directed', 'toward', 'a', 'galactic', 'center', 'field', 'we', 'report', 'a', 'second', 'survey', 'toward', 'a', 'galactic', 'anticenter', 'field', 'using', 'the', 'mwa', 'in', 'the', 'frequency', 'range', 'of', '99', 'to', '122', 'mhz', 'over', 'a', 'three', 'hour', 'period', 'a', 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1,803.00525 | Beta Spectrum Generator: High precision allowed $\beta$ spectrum shapes | Several searches for Beyond Standard Model physics rely on an accurate and
highly precise theoretical description of the allowed $\beta$ spectrum.
Following recent theoretical advances, a C++ implementation of an analytical
description of the allowed beta spectrum shape was constructed. It implements
all known corrections required to give a theoretical description accurate to a
few parts in $10^4$. The remaining nuclear structure-sensitive input can
optionally be calculated in an extreme single-particle approximation with a
variety of nuclear potentials, or obtained through an interface with more
state-of-the-art computations. Due to its relevance in modern neutrino physics,
the corresponding (anti)neutrino spectra are readily available with appropriate
radiative corrections. In the interest of user-friendliness, a graphical
interface was developed in Python with a coupling to a variety of nuclear
databases. We present several test cases and illustrate potential usage of the
code. Our work can be used as the foundation for current and future
high-precision experiments related to the beta decay process.
Source code: https://github.com/leenderthayen/BSG
Documentation: http://bsg.readthedocs.io
| nucl-th nucl-ex | several searches for beyond standard model physics rely on an accurate and highly precise theoretical description of the allowed beta spectrum following recent theoretical advances a c implementation of an analytical description of the allowed beta spectrum shape was constructed it implements all known corrections required to give a theoretical description accurate to a few parts in 104 the remaining nuclear structuresensitive input can optionally be calculated in an extreme singleparticle approximation with a variety of nuclear potentials or obtained through an interface with more stateoftheart computations due to its relevance in modern neutrino physics the corresponding antineutrino spectra are readily available with appropriate radiative corrections in the interest of userfriendliness a graphical interface was developed in python with a coupling to a variety of nuclear databases we present several test cases and illustrate potential usage of the code our work can be used as the foundation for current and future highprecision experiments related to the beta decay process source code httpsgithubcomleenderthayenbsg documentation httpbsgreadthedocsio | [['several', 'searches', 'for', 'beyond', 'standard', 'model', 'physics', 'rely', 'on', 'an', 'accurate', 'and', 'highly', 'precise', 'theoretical', 'description', 'of', 'the', 'allowed', 'beta', 'spectrum', 'following', 'recent', 'theoretical', 'advances', 'a', 'c', 'implementation', 'of', 'an', 'analytical', 'description', 'of', 'the', 'allowed', 'beta', 'spectrum', 'shape', 'was', 'constructed', 'it', 'implements', 'all', 'known', 'corrections', 'required', 'to', 'give', 'a', 'theoretical', 'description', 'accurate', 'to', 'a', 'few', 'parts', 'in', '104', 'the', 'remaining', 'nuclear', 'structuresensitive', 'input', 'can', 'optionally', 'be', 'calculated', 'in', 'an', 'extreme', 'singleparticle', 'approximation', 'with', 'a', 'variety', 'of', 'nuclear', 'potentials', 'or', 'obtained', 'through', 'an', 'interface', 'with', 'more', 'stateoftheart', 'computations', 'due', 'to', 'its', 'relevance', 'in', 'modern', 'neutrino', 'physics', 'the', 'corresponding', 'antineutrino', 'spectra', 'are', 'readily', 'available', 'with', 'appropriate', 'radiative', 'corrections', 'in', 'the', 'interest', 'of', 'userfriendliness', 'a', 'graphical', 'interface', 'was', 'developed', 'in', 'python', 'with', 'a', 'coupling', 'to', 'a', 'variety', 'of', 'nuclear', 'databases', 'we', 'present', 'several', 'test', 'cases', 'and', 'illustrate', 'potential', 'usage', 'of', 'the', 'code', 'our', 'work', 'can', 'be', 'used', 'as', 'the', 'foundation', 'for', 'current', 'and', 'future', 'highprecision', 'experiments', 'related', 'to', 'the', 'beta', 'decay', 'process', 'source', 'code', 'httpsgithubcomleenderthayenbsg', 'documentation', 'httpbsgreadthedocsio']] | [-0.03635184987330303, 0.06382170297675421, -0.06829136182312612, 0.08135670558001745, -0.07817378930494558, -0.15811069672467348, 0.01757979018320502, 0.36739605649109974, -0.23468401362935518, -0.33481205618411397, 0.09493934848909209, -0.26307901210025136, -0.0704714434787654, 0.27656051742464854, 0.006487769837186522, 0.09651073883251678, 0.09412855489673898, 0.023846174734012213, -0.079462892538293, -0.19820827736956192, 0.22894948990771224, 0.1303474377800515, 0.23639825435303566, 0.09372501044079984, 0.005861150715061762, 0.0004789138609474456, -0.07060973334861316, -0.021645528933293936, -0.14363965783882626, 0.15459998105480163, 0.2643124033669283, 0.14737455330984553, 0.21736317569458927, -0.44387629595987593, -0.2079343422126301, 0.05238073661328397, 0.1301491412306837, 0.13596878187115777, -0.10143869914903872, -0.263330392068091, 0.024538224821343994, -0.23028706418879238, -0.1314420969236964, -0.13239015685394406, 0.01086260648559273, 0.004776127748536291, -0.2914039247610353, 0.007297771226867665, -0.00256744980737337, 0.0421150123023566, -0.03353246596115814, -0.15935639690975717, 0.03004903445037565, 0.13463621110408164, 0.023532281011868668, 0.04077170606139174, 0.13139093979865452, -0.1439288176889359, -0.11395793964361979, 0.4124816461799689, -0.067305065290485, -0.17080211940646908, 0.19578774873581198, -0.12724573695945932, -0.12589001605850586, 0.14536667202835052, 0.16206538699205136, 0.1073415757668561, -0.1751083554814995, 0.11190986999685669, 0.020077903614161008, 0.17902191905707213, -0.003691525662743291, 0.013086324186857652, 0.21458906718144585, 0.17921121917912208, -0.023539286912390156, 0.09089992890266678, -0.0822649224097898, -0.08369668093394994, -0.3384776332381147, -0.09903135446003022, -0.13620474860488932, 0.017545002910745455, -0.055132472418830014, -0.1664203287642679, 0.4117547625928749, 0.1560921396400469, 0.17576875244439752, 0.0028838765502757864, 0.31259095717083524, 0.06615902467078909, 0.0634938857502327, 0.052018474166591964, 0.23370227173695135, 0.13662223199117976, 0.08456829652466157, -0.19504818992932144, 0.05429019137173546, 0.01903292733060633] |
1,803.00526 | For high-precision bosonic Josephson junctions, many-body effects matter | Typical treatments of superconducting or superfluid Josephson junctions rely
on mean-field or two-mode models; we explore many-body dynamics of an isolated,
ultracold, Bose-gas long Josephson junction using time-evolving block
decimation simulations. We demonstrate that with increasing repulsive
interaction strength, localized dynamics emerge that influence macroscopic
condensate behavior and can lead to formation of solitons that directly oppose
the symmetry of the junction. Initial state population and phase yield insight
into dynamic tunneling regimes of a quasi one-dimensional double well
potential, from Josephson oscillations to macroscopic self-trapping. Population
imbalance simulations reveal substantial deviation of many-body dynamics from
mean-field Gross-Pitaevskii predictions, particularly as the barrier height and
interaction strength increase. In addition, the sudden approximation supports
localized particle-hole formation after a diabatic quench, and correlation
measures unveil a new dynamic regime: the Fock flashlight.
| cond-mat.quant-gas cond-mat.stat-mech cond-mat.supr-con quant-ph | typical treatments of superconducting or superfluid josephson junctions rely on meanfield or twomode models we explore manybody dynamics of an isolated ultracold bosegas long josephson junction using timeevolving block decimation simulations we demonstrate that with increasing repulsive interaction strength localized dynamics emerge that influence macroscopic condensate behavior and can lead to formation of solitons that directly oppose the symmetry of the junction initial state population and phase yield insight into dynamic tunneling regimes of a quasi onedimensional double well potential from josephson oscillations to macroscopic selftrapping population imbalance simulations reveal substantial deviation of manybody dynamics from meanfield grosspitaevskii predictions particularly as the barrier height and interaction strength increase in addition the sudden approximation supports localized particlehole formation after a diabatic quench and correlation measures unveil a new dynamic regime the fock flashlight | [['typical', 'treatments', 'of', 'superconducting', 'or', 'superfluid', 'josephson', 'junctions', 'rely', 'on', 'meanfield', 'or', 'twomode', 'models', 'we', 'explore', 'manybody', 'dynamics', 'of', 'an', 'isolated', 'ultracold', 'bosegas', 'long', 'josephson', 'junction', 'using', 'timeevolving', 'block', 'decimation', 'simulations', 'we', 'demonstrate', 'that', 'with', 'increasing', 'repulsive', 'interaction', 'strength', 'localized', 'dynamics', 'emerge', 'that', 'influence', 'macroscopic', 'condensate', 'behavior', 'and', 'can', 'lead', 'to', 'formation', 'of', 'solitons', 'that', 'directly', 'oppose', 'the', 'symmetry', 'of', 'the', 'junction', 'initial', 'state', 'population', 'and', 'phase', 'yield', 'insight', 'into', 'dynamic', 'tunneling', 'regimes', 'of', 'a', 'quasi', 'onedimensional', 'double', 'well', 'potential', 'from', 'josephson', 'oscillations', 'to', 'macroscopic', 'selftrapping', 'population', 'imbalance', 'simulations', 'reveal', 'substantial', 'deviation', 'of', 'manybody', 'dynamics', 'from', 'meanfield', 'grosspitaevskii', 'predictions', 'particularly', 'as', 'the', 'barrier', 'height', 'and', 'interaction', 'strength', 'increase', 'in', 'addition', 'the', 'sudden', 'approximation', 'supports', 'localized', 'particlehole', 'formation', 'after', 'a', 'diabatic', 'quench', 'and', 'correlation', 'measures', 'unveil', 'a', 'new', 'dynamic', 'regime', 'the', 'fock', 'flashlight']] | [-0.21041826395825905, 0.2146976722597725, -0.11567009250266534, 0.11889515199458622, -0.0007756839128860245, -0.20849495083728636, 0.07161416787174389, 0.3387102161703462, -0.24836533779109066, -0.25007843653756107, -0.047456449184348014, -0.27337500452642527, -0.13314057020541054, 0.14112284727514524, 0.09630801189323944, 0.025075164524781885, 0.06833130120613726, -0.07218035736128292, -0.07328354173770288, -0.15559845841523906, 0.31212414358742535, 0.004303962726033095, 0.3413309599978454, 0.06742892159099663, 0.02367227630703851, 0.002437970054223005, 0.12932775763681892, 0.006227415742945264, -0.17289025642893455, -0.04544621648859571, 0.19816688450695932, -0.055012381307526746, 0.25609723613315233, -0.5602939992747975, -0.2615470278366102, 0.08050540230363946, 0.2366882341095444, 0.23796001790712276, -0.03670066612363426, -0.36374725471250713, -0.09115978345190259, -0.21891768476714127, -0.17729790221589306, -0.11257879861549361, 0.00046342556985716027, 0.07989353879273756, -0.23722071541476797, 0.15865185769243081, 0.03196913129156173, 0.05112705234381737, -0.05108125955567547, -0.021245200771690263, -0.046225817156179495, 0.06101142200041619, -0.012066325081060782, 0.007520246400610741, 0.2084136292572966, -0.1627095873951806, -0.10960819432115056, 0.2883367632078289, -0.09052847244840284, -0.10204113629703043, 0.21671888059901187, -0.1463153474861897, -0.01917315324570871, 0.15295901622580874, 0.14736156942319323, 0.0273012832498573, -0.11720189375531238, 0.027801788882987403, 0.010190459137613123, 0.19020974818461886, 0.04493926303940966, 0.08624283875123541, 0.2847392226456467, 0.24946124467180308, 0.030024097558590725, 0.14554950658136726, -0.10885150474672572, -0.22282093419044308, -0.256544843238468, -0.05710662806329007, -0.2031120205929531, 0.09957217448214634, -0.0726589340091309, -0.2329168764285207, 0.3980175858472869, 0.1695129020460599, 0.16754994768592896, 0.011052567088468508, 0.2331400703088465, 0.13321475139872002, 0.02586895948501699, -0.003419795437807669, 0.2261977194399206, 0.1737076812353211, 0.06116168543689348, -0.380848226959422, 0.04234051522540871, 0.031070091758120918] |
1,803.00527 | From elliptic multiple zeta values to modular graph functions: open and
closed strings at one loop | We relate one-loop scattering amplitudes of massless open- and closed-string
states at the level of their low-energy expansion. The modular graph functions
resulting from integration over closed-string punctures are observed to follow
from symmetrized open-string integrals through a tentative generalization of
the single-valued projection known from genus zero.
| hep-th math.NT | we relate oneloop scattering amplitudes of massless open and closedstring states at the level of their lowenergy expansion the modular graph functions resulting from integration over closedstring punctures are observed to follow from symmetrized openstring integrals through a tentative generalization of the singlevalued projection known from genus zero | [['we', 'relate', 'oneloop', 'scattering', 'amplitudes', 'of', 'massless', 'open', 'and', 'closedstring', 'states', 'at', 'the', 'level', 'of', 'their', 'lowenergy', 'expansion', 'the', 'modular', 'graph', 'functions', 'resulting', 'from', 'integration', 'over', 'closedstring', 'punctures', 'are', 'observed', 'to', 'follow', 'from', 'symmetrized', 'openstring', 'integrals', 'through', 'a', 'tentative', 'generalization', 'of', 'the', 'singlevalued', 'projection', 'known', 'from', 'genus', 'zero']] | [-0.1320157348915624, 0.18250305916687162, -0.1305755507297969, 0.13228862864586213, -0.05940170849983891, -0.09654221449939844, 0.07612363102574211, 0.30365222285036, -0.26521562862520415, -0.23036702730072042, 0.011878102173795924, -0.3080574524841116, -0.171835198639504, 0.16721896565286443, -0.017750857494926702, 0.0691869660707501, 0.0533169299014844, 0.06920863036066294, -0.12981485740359253, -0.25465773293702415, 0.386323461716529, -0.04221140929924635, 0.1888419829774648, 0.06917646269236381, 0.08032633109057012, 0.061733052357643224, -0.05958911680500023, -0.08756187355902512, -0.10136239100635673, 0.09500302645392367, 0.2703275875392137, 0.05347425203459958, 0.06615733153497179, -0.42590017477050424, -0.13036843503262693, 0.057172858857181076, 0.20085708644667952, 0.07417008709550525, 0.08084752439754084, -0.27012589063573006, -0.010784530895762146, -0.14664424530928954, -0.2347148434491828, -0.09630709965131246, -0.014622744890705993, -0.06667484199473013, -0.17436833904745677, 0.07058942651201505, -0.07202413755779465, 0.06292117043782734, -0.06192034466463762, -0.17037048476049677, -0.11070557002676651, 0.10486688297047901, 0.07971061867040892, 0.09837803219670604, 0.09262812550878152, -0.18919588933931664, -0.15869700052038146, 0.2930809304574116, -0.07949260418778674, -0.1841068605426699, 0.1379568897827994, -0.18627279185845205, -0.1646395547237868, 0.19601419484630847, 0.09458435559645295, 0.1066110879376841, -0.11489655937475618, 0.22253927266259174, -0.01410791384599482, 0.04351523228736672, 0.20084816606443687, 0.01713336251365642, 0.24718073924304917, 0.030405829937080853, 0.018058977622483024, 0.17078907520044595, -0.014482383800592894, -0.12443364184582606, -0.4163027552422136, -0.09738734019144128, -0.11748579749837518, 0.1420635016305217, -0.11140377717644394, -0.2473885122841845, 0.4322690889239311, 0.09733370489266235, 0.1804197125020437, 0.16401751181789828, 0.2544516883790493, 0.1785876308179771, 0.1645658526055437, 0.08394103906660651, 0.17013578665015908, 0.20293143009378886, -0.012202137443334019, -0.22995157072970565, -0.07895964255537062, 0.15470221328238645] |
1,803.00528 | Differential games and Hamilton-Jacobi equations in the Heisenberg group | The purpose of this work is twofold. First we study the solutions of a
Hamilton-Jacobi equation of the form $u_t(t,x)+\mathcal{H}(t,x,\nabla_H
u(t,x))=0$, where $\nabla_H u$ represents the horizontal gradient of a function
$u$ defined on the Heisenberg group ${I\!\!H}$. Motivated by the recent paper
by Liu, Manfredi and Zhou (\cite{LiMaZh2016}), we prove a Lipschitz continuity
preserving property for $u$ with respect to the Kor\'anyi homogeneous distances
$d_G$ in ${I\!\!H}$. Secondly, we are keenly interested in introducing the game
theory in ${I\!\!H}$, taking into account its Sub-Riemannian structure:
inspired by ideas in the paper of Evans and Souganidis (see \cite{EvSo1984}),
in the paper of and Balogh, Calogero and Pini \cite{BaCaPi2014}, we prove
$d_G$-Lipschitz regularity results for the lower and the upper value functions
of a zero game with horizontal curves as its trajectories, and we study the
Hamilton-Jacobi-Isaacs equations associated to such zero game. As a
consequence, we also provide a representation of the viscosity solution of the
initial Hamilton-Jacobi equation.
| math.AP | the purpose of this work is twofold first we study the solutions of a hamiltonjacobi equation of the form u_ttxmathcalhtxnabla_h utx0 where nabla_h u represents the horizontal gradient of a function u defined on the heisenberg group ih motivated by the recent paper by liu manfredi and zhou citelimazh2016 we prove a lipschitz continuity preserving property for u with respect to the koranyi homogeneous distances d_g in ih secondly we are keenly interested in introducing the game theory in ih taking into account its subriemannian structure inspired by ideas in the paper of evans and souganidis see citeevso1984 in the paper of and balogh calogero and pini citebacapi2014 we prove d_glipschitz regularity results for the lower and the upper value functions of a zero game with horizontal curves as its trajectories and we study the hamiltonjacobiisaacs equations associated to such zero game as a consequence we also provide a representation of the viscosity solution of the initial hamiltonjacobi equation | [['the', 'purpose', 'of', 'this', 'work', 'is', 'twofold', 'first', 'we', 'study', 'the', 'solutions', 'of', 'a', 'hamiltonjacobi', 'equation', 'of', 'the', 'form', 'u_ttxmathcalhtxnabla_h', 'utx0', 'where', 'nabla_h', 'u', 'represents', 'the', 'horizontal', 'gradient', 'of', 'a', 'function', 'u', 'defined', 'on', 'the', 'heisenberg', 'group', 'ih', 'motivated', 'by', 'the', 'recent', 'paper', 'by', 'liu', 'manfredi', 'and', 'zhou', 'citelimazh2016', 'we', 'prove', 'a', 'lipschitz', 'continuity', 'preserving', 'property', 'for', 'u', 'with', 'respect', 'to', 'the', 'koranyi', 'homogeneous', 'distances', 'd_g', 'in', 'ih', 'secondly', 'we', 'are', 'keenly', 'interested', 'in', 'introducing', 'the', 'game', 'theory', 'in', 'ih', 'taking', 'into', 'account', 'its', 'subriemannian', 'structure', 'inspired', 'by', 'ideas', 'in', 'the', 'paper', 'of', 'evans', 'and', 'souganidis', 'see', 'citeevso1984', 'in', 'the', 'paper', 'of', 'and', 'balogh', 'calogero', 'and', 'pini', 'citebacapi2014', 'we', 'prove', 'd_glipschitz', 'regularity', 'results', 'for', 'the', 'lower', 'and', 'the', 'upper', 'value', 'functions', 'of', 'a', 'zero', 'game', 'with', 'horizontal', 'curves', 'as', 'its', 'trajectories', 'and', 'we', 'study', 'the', 'hamiltonjacobiisaacs', 'equations', 'associated', 'to', 'such', 'zero', 'game', 'as', 'a', 'consequence', 'we', 'also', 'provide', 'a', 'representation', 'of', 'the', 'viscosity', 'solution', 'of', 'the', 'initial', 'hamiltonjacobi', 'equation']] | [-0.13012414929317007, 0.05002040590549168, -0.09996418375217545, 0.04357916580549642, -0.07537703726172837, -0.09315058576807476, 0.045603713143945616, 0.30457057071594046, -0.30145019739927126, -0.23825970462111, 0.10775935128285531, -0.2974270423448164, -0.16507367151819802, 0.13089065701439004, -0.10123157903880757, 0.039478538654519404, 0.038165102254757596, 0.0301588865963733, -0.07291530440957134, -0.2289908420084519, 0.3662761536645977, -0.032360850003992324, 0.19247074441959947, 0.05948593232512864, 0.11952756896152411, 0.002206512346401129, -0.01874618274859743, 0.04833224841417879, -0.23938722063610757, 0.10800426223260515, 0.199430029656665, 0.08197396509105863, 0.30085960567587977, -0.39804251334976914, -0.16306294025731535, 0.12367363616495448, 0.12049218493413326, 0.06018502321216016, -0.030620998194292065, -0.30104348130426767, 0.08980272069962975, -0.12971092253052965, -0.18742057182552183, -0.02444477105974311, 0.03631925713149161, 0.052252375867729094, -0.2576712339532902, 0.08499495374945029, 0.11654358184850756, 0.07191631714779172, -0.11781643780124879, -0.13059553929781115, -0.044876951642115324, 0.06954152124258232, 0.04275086476144935, 0.056718637363291254, 0.020468552303165684, -0.13209624115980284, -0.07823205280979012, 0.3760725025063247, -0.11565893402724874, -0.2368621161904527, 0.11337290003019221, -0.13192160920775647, -0.1302776024494247, 0.022474190402088163, 0.11744415107810127, 0.1573293630788529, -0.14794364910887772, 0.18100480237455271, -0.0786290804937701, 0.07130823148341447, 0.08144082437920706, -0.022529806826093228, 0.07445132054899838, 0.1467823420827782, 0.12418124421950114, 0.1420778560420206, -0.008997666459679724, -0.1001364999373038, -0.32576251319104355, -0.19942597174420465, -0.1461525175696105, 0.09297571426601411, -0.07939721441472382, -0.15611443920304474, 0.3705794326086023, 0.10609303916092305, 0.20539345217905208, 0.09609828814651111, 0.21692541678241314, 0.16108451928986006, -0.03644459904628057, 0.087168237885302, 0.2049713227426134, 0.203000140956183, 0.12286659793203904, -0.21056292755711897, 0.021604916092245748, 0.16617097874518996] |
1,803.00529 | 2-connections, a lattice point of view | We show that the transition laws for a 2-connection can be recovered by
discretizing the base 2-space of a 2-bundle into an Euclidean hypercubic
lattice. The aim of this work is to serve as an example of how important
results in higher gauge theory, which have been derived in a continuous
setting, can also be derived in the lattice scheme.
| hep-th math-ph math.CT math.MP | we show that the transition laws for a 2connection can be recovered by discretizing the base 2space of a 2bundle into an euclidean hypercubic lattice the aim of this work is to serve as an example of how important results in higher gauge theory which have been derived in a continuous setting can also be derived in the lattice scheme | [['we', 'show', 'that', 'the', 'transition', 'laws', 'for', 'a', '2connection', 'can', 'be', 'recovered', 'by', 'discretizing', 'the', 'base', '2space', 'of', 'a', '2bundle', 'into', 'an', 'euclidean', 'hypercubic', 'lattice', 'the', 'aim', 'of', 'this', 'work', 'is', 'to', 'serve', 'as', 'an', 'example', 'of', 'how', 'important', 'results', 'in', 'higher', 'gauge', 'theory', 'which', 'have', 'been', 'derived', 'in', 'a', 'continuous', 'setting', 'can', 'also', 'be', 'derived', 'in', 'the', 'lattice', 'scheme']] | [-0.0950399260269478, 0.12998179962208573, -0.13723911123815924, 0.05196668654680252, -0.056169132608920334, -0.11429493241788198, 0.011647252620120223, 0.3909685731244584, -0.2601730964068944, -0.23598457124705116, 0.11974163253519994, -0.1870860401308164, -0.21463190779710808, 0.19991502535218994, -0.08545255591161549, 0.0037820895202457907, -0.007267062808386982, 0.05615005401584009, -0.07430799313588068, -0.26151624203970036, 0.3187433482535804, 0.04509648753640552, 0.26067819114153584, 0.06322029984245697, 0.0952466574497521, -0.022043477557599545, 0.016588086107124884, 0.08792811868091424, -0.11771879197003728, 0.1274213849993733, 0.26405158191919326, 0.07717234707670287, 0.22358996458351613, -0.41581445016587776, -0.278703883724908, 0.08113242916685219, 0.17740224191026452, 0.14857098684296943, -0.03389408567454666, -0.29050373764863857, 0.1054508742177859, -0.19702337121901412, -0.14296085519599727, -0.0864951883132259, -0.0312787612589697, -0.02338284137658775, -0.26545138548438746, 0.0017042856619809755, 0.09386697035903732, 0.06811931938864291, -0.07664164565503598, -0.06900982144288718, -0.0575803945461909, 0.1609505185469364, 0.01883153758244589, 0.09354655831120909, 0.039676555634165805, -0.08806298847387856, -0.15263488542598982, 0.4710827318330606, -0.09943152557437619, -0.27471489319577813, 0.11120893052623917, -0.11590837792027742, -0.15619677089465162, 0.10589865633907418, 0.18350711395032704, 0.12688557940224807, -0.1525448553885023, 0.12734922505915164, -0.1029732258679966, 0.12342713189621767, 0.025915077002719045, 0.004279869678430259, 0.1764638925048833, 0.1322603898588568, 0.07928749298444018, 0.16752126049250365, -0.004045864722381036, -0.09955385532230139, -0.34328623532007135, -0.18571076248772442, -0.21057514045387507, 0.09188401537636916, -0.08616125559589514, -0.10355418988813957, 0.32191260952016215, 0.1330243251596888, 0.2344430580890427, 0.014116909449997668, 0.23442514322232455, 0.17000444519605176, 0.06797684544386963, 0.01992816055038323, 0.2055012926692143, 0.12009076023241505, 0.04537116916229327, -0.16407378431564817, -0.03359975471006085, 0.14415881267438332] |
1,803.0053 | Online Feature Ranking for Intrusion Detection Systems | Many current approaches to the design of intrusion detection systems apply
feature selection in a static, non-adaptive fashion. These methods often
neglect the dynamic nature of network data which requires to use adaptive
feature selection techniques. In this paper, we present a simple technique
based on incremental learning of support vector machines in order to rank the
features in real time within a streaming model for network data. Some
illustrative numerical experiments with two popular benchmark datasets show
that our approach allows to adapt to the changes in normal network behaviour
and novel attack patterns which have not been experienced before.
| cs.CR cs.LG cs.NI stat.ML | many current approaches to the design of intrusion detection systems apply feature selection in a static nonadaptive fashion these methods often neglect the dynamic nature of network data which requires to use adaptive feature selection techniques in this paper we present a simple technique based on incremental learning of support vector machines in order to rank the features in real time within a streaming model for network data some illustrative numerical experiments with two popular benchmark datasets show that our approach allows to adapt to the changes in normal network behaviour and novel attack patterns which have not been experienced before | [['many', 'current', 'approaches', 'to', 'the', 'design', 'of', 'intrusion', 'detection', 'systems', 'apply', 'feature', 'selection', 'in', 'a', 'static', 'nonadaptive', 'fashion', 'these', 'methods', 'often', 'neglect', 'the', 'dynamic', 'nature', 'of', 'network', 'data', 'which', 'requires', 'to', 'use', 'adaptive', 'feature', 'selection', 'techniques', 'in', 'this', 'paper', 'we', 'present', 'a', 'simple', 'technique', 'based', 'on', 'incremental', 'learning', 'of', 'support', 'vector', 'machines', 'in', 'order', 'to', 'rank', 'the', 'features', 'in', 'real', 'time', 'within', 'a', 'streaming', 'model', 'for', 'network', 'data', 'some', 'illustrative', 'numerical', 'experiments', 'with', 'two', 'popular', 'benchmark', 'datasets', 'show', 'that', 'our', 'approach', 'allows', 'to', 'adapt', 'to', 'the', 'changes', 'in', 'normal', 'network', 'behaviour', 'and', 'novel', 'attack', 'patterns', 'which', 'have', 'not', 'been', 'experienced', 'before']] | [-0.07771102936551122, -0.011117697241577771, -0.10492923111876122, 0.02831947625416451, -0.12817198185637446, -0.18057671393553662, 0.06343773749799901, 0.435919015345597, -0.26120695841987385, -0.3067776080045738, 0.11433702163596518, -0.23275732373750174, -0.23501154434138743, 0.19450917664574147, -0.08871866951438387, 0.10757869834283201, 0.0844320201517848, 0.04891412031875997, -0.045064111975584145, -0.2888358752842587, 0.32764302128649286, 0.05155760265591711, 0.361579356060391, 0.00845289649211313, 0.08155772899217571, -0.003384451842912943, -0.058103052968399065, 0.03372870954237694, -0.05385497114703228, 0.12733907269097525, 0.3284161236266246, 0.20415187105398144, 0.3384068919170537, -0.4528071593935832, -0.25520748941061816, 0.10370118976893401, 0.14715222780717224, 0.13276478458131954, -0.05836627135943105, -0.2764092321129571, 0.09326672816815057, -0.1829670637132517, -0.04950405018275032, -0.1729633886606829, -0.02195783880525407, -0.0006815529253223155, -0.3027460085052886, 0.02850781539962212, 0.0498804688260033, 0.04871481401606066, -0.05791701184237597, -0.07588616964213624, 0.07693446596097754, 0.10656522207496928, 0.04800862217285108, -0.014201386338376467, 0.13673167671209505, -0.12042103093440211, -0.20113436990223899, 0.36262258493092536, -0.06411460013933351, -0.20924004581918257, 0.24954465303874326, -0.012217362900034036, -0.18552199068783534, 0.10939163320679401, 0.2831566304263502, 0.12606891742152493, -0.16225163050752023, -0.0010825643081928023, -0.02414117177653283, 0.17434409051432764, 0.0003914732260094716, -0.011423503993872073, 0.1254179037388156, 0.24608205969786584, 0.04215755018735268, 0.10803015202302302, -0.12957398763784014, -0.08733177854504326, -0.21254399999754853, -0.09216909543242269, -0.16051650110927254, -0.05471775595241083, -0.07959386181200988, -0.1834856064755027, 0.3966597487762718, 0.2659826626687652, 0.22716200210864074, 0.07014385298226435, 0.38266904670560714, 0.021297576819952247, 0.11323185640820625, 0.10836527879248456, 0.19250619860330256, 0.01817844821011076, 0.1387375958199327, -0.17081285239367902, 0.09357363236192061, 0.04443550373584327] |
1,803.00531 | Special Arithmetic of Flavor | We revisit the classification of rank-1 4d $\mathcal{N}=2$ QFTs in the spirit
of Diophantine Geometry, viewing their special geometries as elliptic curves
over the chiral ring (a Dedekind domain). The Kodaira-N\'eron model maps the
space of non-trivial rank-1 special geometries to the well-known moduli of
pairs $(\mathcal{E},F_\infty)$ where $\mathcal{E}$ is a relatively minimal,
rational elliptic surface with section, and $F_\infty$ a fiber with additive
reduction. Requiring enough Seiberg-Witten differentials yields a condition on
$(\mathcal{E},F_\infty)$ equivalent to the "safely irrelevant conjecture". The
Mordell-Weil group of $\mathcal{E}$ (with the N\'eron-Tate pairing) contains a
canonical root system arising from $(-1)$-curves in special position in the
N\'eron-Severi group. This canonical system is identified with the roots of the
flavor group $\mathsf{F}$: the allowed flavor groups are then read from the
Oguiso-Shioda table of Mordell-Weil groups. Discrete gaugings correspond to
base changes. Our results are consistent with previous work by Argyres et al.
| hep-th | we revisit the classification of rank1 4d mathcaln2 qfts in the spirit of diophantine geometry viewing their special geometries as elliptic curves over the chiral ring a dedekind domain the kodairaneron model maps the space of nontrivial rank1 special geometries to the wellknown moduli of pairs mathcalef_infty where mathcale is a relatively minimal rational elliptic surface with section and f_infty a fiber with additive reduction requiring enough seibergwitten differentials yields a condition on mathcalef_infty equivalent to the safely irrelevant conjecture the mordellweil group of mathcale with the nerontate pairing contains a canonical root system arising from 1curves in special position in the neronseveri group this canonical system is identified with the roots of the flavor group mathsff the allowed flavor groups are then read from the oguisoshioda table of mordellweil groups discrete gaugings correspond to base changes our results are consistent with previous work by argyres et al | [['we', 'revisit', 'the', 'classification', 'of', 'rank1', '4d', 'mathcaln2', 'qfts', 'in', 'the', 'spirit', 'of', 'diophantine', 'geometry', 'viewing', 'their', 'special', 'geometries', 'as', 'elliptic', 'curves', 'over', 'the', 'chiral', 'ring', 'a', 'dedekind', 'domain', 'the', 'kodairaneron', 'model', 'maps', 'the', 'space', 'of', 'nontrivial', 'rank1', 'special', 'geometries', 'to', 'the', 'wellknown', 'moduli', 'of', 'pairs', 'mathcalef_infty', 'where', 'mathcale', 'is', 'a', 'relatively', 'minimal', 'rational', 'elliptic', 'surface', 'with', 'section', 'and', 'f_infty', 'a', 'fiber', 'with', 'additive', 'reduction', 'requiring', 'enough', 'seibergwitten', 'differentials', 'yields', 'a', 'condition', 'on', 'mathcalef_infty', 'equivalent', 'to', 'the', 'safely', 'irrelevant', 'conjecture', 'the', 'mordellweil', 'group', 'of', 'mathcale', 'with', 'the', 'nerontate', 'pairing', 'contains', 'a', 'canonical', 'root', 'system', 'arising', 'from', '1curves', 'in', 'special', 'position', 'in', 'the', 'neronseveri', 'group', 'this', 'canonical', 'system', 'is', 'identified', 'with', 'the', 'roots', 'of', 'the', 'flavor', 'group', 'mathsff', 'the', 'allowed', 'flavor', 'groups', 'are', 'then', 'read', 'from', 'the', 'oguisoshioda', 'table', 'of', 'mordellweil', 'groups', 'discrete', 'gaugings', 'correspond', 'to', 'base', 'changes', 'our', 'results', 'are', 'consistent', 'with', 'previous', 'work', 'by', 'argyres', 'et', 'al']] | [-0.18610886908006957, 0.07097000055647287, -0.08882987233745451, 0.04541182958200807, -0.11522014355351631, -0.1557521681243088, 0.012903184806216612, 0.3101440594408713, -0.2654099055248985, -0.24337355564542426, 0.07159801135761275, -0.26420010430673657, -0.122168045077059, 0.18511378330003936, -0.16476279429884422, 0.021186839973476406, 0.013400027515470155, 0.09327952824727011, -0.13279308914045235, -0.32537440875845886, 0.3901190387477982, -0.009391941033148518, 0.23929227747915624, 0.0019194825338975836, 0.09411784396797884, 0.03622106551160363, -0.027737330624303367, -0.01728195224637198, -0.11051749300289278, 0.1291315297320984, 0.29396676164146307, 0.011381724160552645, 0.12104661053738003, -0.36130218342198833, -0.16949827399447612, 0.1870600007920681, 0.10872029744334416, 0.06780593287274111, 0.0039021566367915105, -0.2706764235465218, 0.07108867823565863, -0.16932861610095845, -0.1678004959766339, -0.05518522867593371, 0.019219270163577877, 0.020400861071215734, -0.23830209573659683, 0.01953920949341005, 0.045254591367362686, 0.13570667499960917, -0.05267241689337728, -0.1163175770197995, -0.09412565435761483, 0.06336137379791278, 0.050966573118380945, 0.060630004367946334, 0.10420518566712013, -0.12118587024916552, -0.10299344892134993, 0.41777649846497095, -0.031502650297221005, -0.22206732403073046, 0.1168812216071981, -0.139753475622658, -0.15582716653524484, 0.16225846090027415, 0.10230807669641864, 0.14030302951545714, -0.014396167690089593, 0.19788729251942844, -0.1710166323302676, 0.12727053025042145, 0.10011184788567738, -0.032443653310312785, 0.15647074375172249, 0.0730832817935152, 0.05352254433111941, 0.12185088954073661, -0.00711854360431769, -0.06722594712280422, -0.3891622962958839, -0.11530064562915261, -0.09402845953849868, 0.1282623860364159, -0.12192966296495594, -0.165697190585585, 0.4064649895396239, 0.029162686257121904, 0.2006233712082677, 0.07775917653149615, 0.19553407784163332, 0.044006592623190954, 0.07018685536362075, 0.050578042751744254, 0.15502648081180975, 0.2063367855363241, -0.004003978943122395, -0.1870293949129215, -0.06742117545137363, 0.21383477674680762] |
1,803.00532 | Reconfigurable Manipulator Simulation for Robotics and Multimodal
Machine Learning Application: Aaria | This paper represents a systematic way for generation of Aaria, a simulated
model for serial manipulators for the purpose of kinematic or dynamic analysis
with a vast variety of structures based on Simulink SimMechanics. The proposed
model can receive configuration parameters, for instance in accordance with
modified Denavit-Hartenberg convention, or trajectories for its base or joints
for structures with 1 to 6 degrees of freedom (DOF). The manipulator is
equipped with artificial joint sensors as well as simulated Inertial
Measurement Units (IMUs) on each link. The simulation output can be positions,
velocities, torques, in the joint space or IMU outputs; angular velocity,
linear acceleration, tool coordinates with respect to the inertial frame. This
simulation model is a source of a dataset for virtual multimodal sensory data
for automation of robot modeling and control designed for machine learning and
deep learning approaches based on big data.
| cs.RO | this paper represents a systematic way for generation of aaria a simulated model for serial manipulators for the purpose of kinematic or dynamic analysis with a vast variety of structures based on simulink simmechanics the proposed model can receive configuration parameters for instance in accordance with modified denavithartenberg convention or trajectories for its base or joints for structures with 1 to 6 degrees of freedom dof the manipulator is equipped with artificial joint sensors as well as simulated inertial measurement units imus on each link the simulation output can be positions velocities torques in the joint space or imu outputs angular velocity linear acceleration tool coordinates with respect to the inertial frame this simulation model is a source of a dataset for virtual multimodal sensory data for automation of robot modeling and control designed for machine learning and deep learning approaches based on big data | [['this', 'paper', 'represents', 'a', 'systematic', 'way', 'for', 'generation', 'of', 'aaria', 'a', 'simulated', 'model', 'for', 'serial', 'manipulators', 'for', 'the', 'purpose', 'of', 'kinematic', 'or', 'dynamic', 'analysis', 'with', 'a', 'vast', 'variety', 'of', 'structures', 'based', 'on', 'simulink', 'simmechanics', 'the', 'proposed', 'model', 'can', 'receive', 'configuration', 'parameters', 'for', 'instance', 'in', 'accordance', 'with', 'modified', 'denavithartenberg', 'convention', 'or', 'trajectories', 'for', 'its', 'base', 'or', 'joints', 'for', 'structures', 'with', '1', 'to', '6', 'degrees', 'of', 'freedom', 'dof', 'the', 'manipulator', 'is', 'equipped', 'with', 'artificial', 'joint', 'sensors', 'as', 'well', 'as', 'simulated', 'inertial', 'measurement', 'units', 'imus', 'on', 'each', 'link', 'the', 'simulation', 'output', 'can', 'be', 'positions', 'velocities', 'torques', 'in', 'the', 'joint', 'space', 'or', 'imu', 'outputs', 'angular', 'velocity', 'linear', 'acceleration', 'tool', 'coordinates', 'with', 'respect', 'to', 'the', 'inertial', 'frame', 'this', 'simulation', 'model', 'is', 'a', 'source', 'of', 'a', 'dataset', 'for', 'virtual', 'multimodal', 'sensory', 'data', 'for', 'automation', 'of', 'robot', 'modeling', 'and', 'control', 'designed', 'for', 'machine', 'learning', 'and', 'deep', 'learning', 'approaches', 'based', 'on', 'big', 'data']] | [-0.12148479787477602, 0.0559900384913716, -0.05912531203284743, -0.026504939848867554, -0.11429469219809915, -0.17593579674010268, -0.004834117861820333, 0.4075928501843009, -0.2634856495003785, -0.35085336105233483, 0.05293533770034426, -0.24039640152801034, -0.11599475279540962, 0.2246536917696681, -0.10384261131791088, 0.10567675055426662, 0.11119969133708058, 0.060017875224326014, -0.018045116046980385, -0.15694854896881022, 0.2802658183079782, 0.07158709956254622, 0.289673840858288, -0.07696972678402542, 0.2040376430846259, 0.058187530072043754, -0.02226844349287502, 0.023035518446502264, -0.07291663530567247, 0.13003239152183393, 0.2697015318990452, 0.15578654747676207, 0.25292320968583226, -0.4043564917972415, -0.2225012961296468, 0.06944035108123596, 0.1256477333210771, 0.0769619285969788, -0.038432092500443105, -0.3025419894353642, 0.07328869310408158, -0.18420245020469236, -0.08995232709114337, -0.07458211643259144, 0.01612311549575275, 0.04577543927532841, -0.3283260803242835, 0.015951522800605744, 0.011047088899229292, 0.1257050516239057, -0.08455432833498991, -0.09355849661450419, 0.003541043023384797, 0.16160969321046853, -0.007262893120544807, 0.04173936868513314, 0.17265254426901164, -0.12109872178310373, -0.15339322768785577, 0.4086542938603088, 0.0013566011734332682, -0.28372733714058995, 0.18898874144522576, -0.06454206064518075, -0.12357357210486145, 0.06632285506930202, 0.2635764694674031, 0.07978496324115743, -0.1558991246468698, 0.029605926424361922, -0.007644513185368851, 0.18439960713537099, 0.031637804244787224, -0.015021774969581101, 0.20951638840273923, 0.21701570645867227, 0.05146147490975434, 0.08315815389424744, -0.1467445611550728, -0.10018908866024706, -0.2849071201118123, -0.14339540688605565, -0.1627645503338297, -0.019707832759498462, -0.10337649474624616, -0.11728043360118237, 0.35403953843504293, 0.14929198473661623, 0.1968173895713537, 0.09323879205233727, 0.39855817920114434, 0.01917724207709802, 0.10470912784027557, 0.06575934799184324, 0.1890474800602533, 0.06268953316127106, 0.12771285567012253, -0.17247868148196074, 0.06723369550794207, 0.017114429724945996] |
1,803.00533 | Active suspensions have non-monotonic flow curves and multiple
mechanical equilibria | We point out unconventional mechanical properties of confined active fluids,
such as bacterial suspensions, under shear. Using a minimal model of an active
liquid crystal with no free parameters, we predict the existence of a window of
bacteria concentration for which a suspension of \textit{E.~Coli} effectively
behaves, at steady-state, as a negative viscosity fluid and reach quantitative
agreement with experimental measurements. Our theoretical analysis further
shows that a negative apparent viscosity is due to a non-monotonic local
velocity profile, and is associated with a non-monotonic stress vs. strain rate
flow curve. This implies that fixed stress and fixed strain rate ensembles are
not equivalent for active fluids.
| cond-mat.soft | we point out unconventional mechanical properties of confined active fluids such as bacterial suspensions under shear using a minimal model of an active liquid crystal with no free parameters we predict the existence of a window of bacteria concentration for which a suspension of textitecoli effectively behaves at steadystate as a negative viscosity fluid and reach quantitative agreement with experimental measurements our theoretical analysis further shows that a negative apparent viscosity is due to a nonmonotonic local velocity profile and is associated with a nonmonotonic stress vs strain rate flow curve this implies that fixed stress and fixed strain rate ensembles are not equivalent for active fluids | [['we', 'point', 'out', 'unconventional', 'mechanical', 'properties', 'of', 'confined', 'active', 'fluids', 'such', 'as', 'bacterial', 'suspensions', 'under', 'shear', 'using', 'a', 'minimal', 'model', 'of', 'an', 'active', 'liquid', 'crystal', 'with', 'no', 'free', 'parameters', 'we', 'predict', 'the', 'existence', 'of', 'a', 'window', 'of', 'bacteria', 'concentration', 'for', 'which', 'a', 'suspension', 'of', 'textitecoli', 'effectively', 'behaves', 'at', 'steadystate', 'as', 'a', 'negative', 'viscosity', 'fluid', 'and', 'reach', 'quantitative', 'agreement', 'with', 'experimental', 'measurements', 'our', 'theoretical', 'analysis', 'further', 'shows', 'that', 'a', 'negative', 'apparent', 'viscosity', 'is', 'due', 'to', 'a', 'nonmonotonic', 'local', 'velocity', 'profile', 'and', 'is', 'associated', 'with', 'a', 'nonmonotonic', 'stress', 'vs', 'strain', 'rate', 'flow', 'curve', 'this', 'implies', 'that', 'fixed', 'stress', 'and', 'fixed', 'strain', 'rate', 'ensembles', 'are', 'not', 'equivalent', 'for', 'active', 'fluids']] | [-0.1314819162439133, 0.1937476696704903, -0.13324381664992785, -0.01582188078725078, -0.028953629128529498, -0.17522426254010565, 0.06053443174844362, 0.35090768929869637, -0.26057904313828023, -0.2669943086144005, 0.05016380308288202, -0.2752565755245258, -0.1434193231991299, 0.186072223712163, -0.03664457309938405, 0.06750636556150638, 0.01377513075691103, 0.008334426358693614, -0.051004401591544936, -0.14170144839247442, 0.22134850393400862, 0.07689517087364604, 0.3303397344601042, 0.0659079884133908, 0.13561532779402904, -0.023478428461975506, 0.02901471164165381, 0.1463834940157128, -0.21445778959756387, 0.03040516522343991, 0.22845846043135268, -0.02050463994745306, 0.23766052360945153, -0.3989883996194826, -0.27398945337281133, 0.11275238903977398, 0.12281711449361195, 0.1001446408797319, -0.08945190575949075, -0.16960574677301887, 0.07289551306111773, -0.1396611831414531, -0.16285300923441098, -0.07427442306652665, 0.05507198197081826, 0.048765449063964454, -0.2662481525517508, 0.20547289354726672, 0.045407393266323884, 0.12193428758391232, -0.13585282837585458, -0.07798924177933379, -0.06082389136679681, 0.07985320727270588, 0.1047140025074664, 0.03379677682851424, 0.26180891127255307, -0.18255198150840238, -0.030412128142450215, 0.36978266725562653, -0.09189969639487143, -0.18861229455247872, 0.2406656027283906, -0.1071447779485991, -0.05934496916707535, 0.17652704984494397, 0.1645925496260082, 0.09412188792407934, -0.10578973073828614, -0.011273651042808164, -0.09113283587162788, 0.21670484715190777, 0.05466669071948964, -0.04508898952128289, 0.24715444384986218, 0.18703476186701148, 0.0791919038912176, 0.15119651162047992, -0.07004216159660949, -0.08278776617404425, -0.3160166333095645, -0.18529655470266798, -0.13096430055843228, 0.07595338894590793, -0.12915583445983259, -0.19602305559828034, 0.3356545454172312, 0.08374050068932604, 0.21036371717752256, 0.05972044814030974, 0.22158510229914924, 0.05914815408748768, 0.02531774063541923, 0.05594656857187456, 0.286277150304742, 0.15206872644495956, 0.11147649422340658, -0.27547673433843367, 0.08794137741601586, 0.006768252823572114] |
1,803.00534 | Trochoidal motion and pair generation in skyrmion and antiskyrmion
dynamics under spin-orbit torques | Skyrmions and antiskyrmions in magnetic ultrathin films are characterised by
a topological charge describing how the spins wind around their core. This
topology governs their response to forces in the rigid core limit. However,
when internal core excitations are relevant, the dynamics become far richer. We
show that current-induced spin-orbit torques can lead to phenomena such as
trochoidal motion and skyrmion-antiskyrmion pair generation that only occurs
for either the skyrmion or antiskyrmion, depending on the symmetry of the
underlying Dzyaloshinskii-Moriya interaction. Such dynamics are induced by core
deformations, leading to a time-dependent helicity that governs the motion of
the skyrmion and antiskyrmion core. We compute the dynamical phase diagram
through a combination of atomistic spin simulations, reduced-variable
modelling, and machine learning algorithms. It predicts how spin-orbit torques
can control the type of motion and the possibility to generate skyrmion
lattices by antiskyrmion seeding.
| cond-mat.mes-hall cond-mat.mtrl-sci | skyrmions and antiskyrmions in magnetic ultrathin films are characterised by a topological charge describing how the spins wind around their core this topology governs their response to forces in the rigid core limit however when internal core excitations are relevant the dynamics become far richer we show that currentinduced spinorbit torques can lead to phenomena such as trochoidal motion and skyrmionantiskyrmion pair generation that only occurs for either the skyrmion or antiskyrmion depending on the symmetry of the underlying dzyaloshinskiimoriya interaction such dynamics are induced by core deformations leading to a timedependent helicity that governs the motion of the skyrmion and antiskyrmion core we compute the dynamical phase diagram through a combination of atomistic spin simulations reducedvariable modelling and machine learning algorithms it predicts how spinorbit torques can control the type of motion and the possibility to generate skyrmion lattices by antiskyrmion seeding | [['skyrmions', 'and', 'antiskyrmions', 'in', 'magnetic', 'ultrathin', 'films', 'are', 'characterised', 'by', 'a', 'topological', 'charge', 'describing', 'how', 'the', 'spins', 'wind', 'around', 'their', 'core', 'this', 'topology', 'governs', 'their', 'response', 'to', 'forces', 'in', 'the', 'rigid', 'core', 'limit', 'however', 'when', 'internal', 'core', 'excitations', 'are', 'relevant', 'the', 'dynamics', 'become', 'far', 'richer', 'we', 'show', 'that', 'currentinduced', 'spinorbit', 'torques', 'can', 'lead', 'to', 'phenomena', 'such', 'as', 'trochoidal', 'motion', 'and', 'skyrmionantiskyrmion', 'pair', 'generation', 'that', 'only', 'occurs', 'for', 'either', 'the', 'skyrmion', 'or', 'antiskyrmion', 'depending', 'on', 'the', 'symmetry', 'of', 'the', 'underlying', 'dzyaloshinskiimoriya', 'interaction', 'such', 'dynamics', 'are', 'induced', 'by', 'core', 'deformations', 'leading', 'to', 'a', 'timedependent', 'helicity', 'that', 'governs', 'the', 'motion', 'of', 'the', 'skyrmion', 'and', 'antiskyrmion', 'core', 'we', 'compute', 'the', 'dynamical', 'phase', 'diagram', 'through', 'a', 'combination', 'of', 'atomistic', 'spin', 'simulations', 'reducedvariable', 'modelling', 'and', 'machine', 'learning', 'algorithms', 'it', 'predicts', 'how', 'spinorbit', 'torques', 'can', 'control', 'the', 'type', 'of', 'motion', 'and', 'the', 'possibility', 'to', 'generate', 'skyrmion', 'lattices', 'by', 'antiskyrmion', 'seeding']] | [-0.1977353839980643, 0.2418164563702142, -0.05011320033553222, 0.054280571156538074, -0.12347815394342104, -0.07817997543078498, 0.01817150529579702, 0.4002198736110689, -0.3112218288691543, -0.2991557017047989, 0.0413284982762676, -0.25015019492332075, -0.14985649300415518, 0.16791658337122317, 0.038775112337914974, -0.0032478170370326396, 0.007951716415200991, -0.01696625158705927, -0.03716773505073705, -0.1477060775084302, 0.3068221198948693, -0.028648590573261603, 0.27984621913456326, 0.05655751242929845, 0.07233489916745758, 0.0030833344719973757, 0.10902533382309455, 0.03818906284868717, -0.14709126378539808, 0.07026436680709904, 0.16989062391989368, -0.045288033659589735, 0.16858949541636076, -0.5284776443232458, -0.20009744765752174, 0.03635231347041244, 0.17876659143808568, 0.19335874659339533, -0.06926531396915224, -0.2944697254793124, 0.06167997214249633, -0.20116667526093782, -0.1396938904600568, -0.16752903719254314, 0.06834301290743, 0.03880017936264383, -0.22650727041144955, 0.07206526425739763, 0.13064574543283491, 0.033632785397877334, -0.09380012872985545, -0.04975052371931573, -0.1423434918937901, 0.10296185653023454, 0.05629919467375, 0.04945697630788629, 0.23586113168403888, -0.20104627078688037, -0.15820215011002325, 0.4034432345829534, -0.015810180157389993, -0.2002692685019991, 0.18541408627102454, -0.1478983759252579, -0.061943083317910735, 0.13085693273699928, 0.16656952506428294, 0.10340255312910568, -0.09530685107433814, 0.052861381382830044, 0.03895965500747957, 0.16029358487609272, 0.03578541212812634, 0.03938858188252817, 0.32695757555412064, 0.1944139730465988, 0.03935484678141033, 0.11979677064793436, -0.11380634152541823, -0.15349526532284968, -0.21796790693047727, -0.09730890400192523, -0.20554273128294856, 0.06807041499294764, -0.06718214787160962, -0.1628135973323427, 0.378425589016249, 0.1460138837152973, 0.15007711818824845, -0.057978836510739956, 0.2469806141642761, 0.08047528275212683, 0.0936367517413162, 0.055119142261604574, 0.2878470034057816, 0.15688176847274368, 0.09553081485449422, -0.329270430635793, 0.06986095970215818, 0.06328449035657847] |
1,803.00535 | Deformation classification of real non-singular cubic threefolds with a
marked line | We prove that the space of pairs $(X,l)$ formed by a real non-singular cubic
hypersurface $X\subset P^4$ with a real line $l\subset X$ has 18 connected
components and give for them several quite explicit interpretations. The first
one relates these components to the orbits of the monodromy action on the set
of connected components of the Fano surface $F_\mathbb{R}(X)$ formed by real
lines on $X$. For another interpretation we associate with each of the 18
components a well defined real deformation class of real non-singular plane
quintic curves and show that this deformation class together with the real
deformation class of $X$ characterizes completely the component.
| math.AG | we prove that the space of pairs xl formed by a real nonsingular cubic hypersurface xsubset p4 with a real line lsubset x has 18 connected components and give for them several quite explicit interpretations the first one relates these components to the orbits of the monodromy action on the set of connected components of the fano surface f_mathbbrx formed by real lines on x for another interpretation we associate with each of the 18 components a well defined real deformation class of real nonsingular plane quintic curves and show that this deformation class together with the real deformation class of x characterizes completely the component | [['we', 'prove', 'that', 'the', 'space', 'of', 'pairs', 'xl', 'formed', 'by', 'a', 'real', 'nonsingular', 'cubic', 'hypersurface', 'xsubset', 'p4', 'with', 'a', 'real', 'line', 'lsubset', 'x', 'has', '18', 'connected', 'components', 'and', 'give', 'for', 'them', 'several', 'quite', 'explicit', 'interpretations', 'the', 'first', 'one', 'relates', 'these', 'components', 'to', 'the', 'orbits', 'of', 'the', 'monodromy', 'action', 'on', 'the', 'set', 'of', 'connected', 'components', 'of', 'the', 'fano', 'surface', 'f_mathbbrx', 'formed', 'by', 'real', 'lines', 'on', 'x', 'for', 'another', 'interpretation', 'we', 'associate', 'with', 'each', 'of', 'the', '18', 'components', 'a', 'well', 'defined', 'real', 'deformation', 'class', 'of', 'real', 'nonsingular', 'plane', 'quintic', 'curves', 'and', 'show', 'that', 'this', 'deformation', 'class', 'together', 'with', 'the', 'real', 'deformation', 'class', 'of', 'x', 'characterizes', 'completely', 'the', 'component']] | [-0.22206831895524548, 0.062235356678831434, -0.053315894358924455, -0.009941562714188227, -0.06791005977207706, -0.1296618908688071, -0.024958222527943906, 0.34599981125266777, -0.2626608250573987, -0.2168416225273783, 0.07983704475863349, -0.2754710096644149, -0.19521874276300272, 0.22975742747741087, -0.05558137037746963, -0.03160824522021271, 0.04153835100254842, 0.0712372125802739, -0.0916637201039564, -0.3241364350808518, 0.42799412176079515, -0.1344153562516329, 0.195156165443006, 0.023013406548471678, 0.142287840561143, 0.01323131291373145, 0.006171702221035957, 0.026259746247004452, -0.10686320669220073, 0.159146051623282, 0.2392969246510239, 0.10261278444058483, 0.12781830528041438, -0.3470978424130451, -0.208611456970019, 0.16881593405047343, 0.08466986995633868, -0.011637462280868064, -0.00011511966807856447, -0.2705950965750076, 0.10109287291942608, -0.12444403477545296, -0.2214381753821813, -0.06414992015454031, 0.08197520039975643, 0.041066744781675796, -0.20706675041112163, -0.030610852546635127, 0.07164401978897374, 0.09573124281707264, -0.0587808981094332, -0.09894423595673982, -0.08790038017378676, 0.0653102710000461, -0.007148664346009138, 0.048848124065746866, 0.09948559578153349, -0.05658576402236663, -0.07548023102184137, 0.38643376627670867, -0.06612422507078874, -0.19512929385971456, 0.17642106370379526, -0.15144242182861836, -0.14018899274856916, 0.18568830439554793, 0.13514225082915454, 0.14190108384050074, -0.03863609175064734, 0.13919018517314855, -0.05352652007270427, 0.11954550587882598, 0.08554767763153429, -0.07261862420654368, 0.21332388881239153, 0.07749172456651217, 0.054762904308015656, 0.11713193648306298, -0.059952019299435916, -0.06217069523852496, -0.39691761164438155, -0.18675222197281463, -0.15769452161843045, 0.13050770388162208, -0.11533449730320301, -0.19237693422252222, 0.42104328602463714, -0.007003015075765905, 0.319010840591398, 0.0586306849849366, 0.23457432829198382, 0.07482859448743208, 0.046705955178255126, 0.037465965027166974, 0.14187060904999574, 0.1528679379439425, -0.0024306552795072397, -0.14378822587563522, 0.007092307991392556, 0.08753848002691354] |
1,803.00536 | Thermal Expansion in Dispersion-Bound Molecular Crystals | We explore how anharmonicity, nuclear quantum effects (NQE), many-body
dispersion interactions, and Pauli repulsion influence thermal properties of
dispersion-bound molecular crystals. Accounting for anharmonicity with $ab$
$initio$ molecular dynamics yields cell parameters accurate to within 2% of
experiment for a set of pyridine-like molecular crystals at finite temperatures
and pressures. From the experimental thermal expansion curve, we find that
pyridine-I has a Debye temperature just above its melting point, indicating
sizable NQE across the entire crystalline range of stability. We find that NQE
lead to a substantial volume increase in pyridine-I ($\approx 40$% more than
classical thermal expansion at $153$ K) and attribute this to intermolecular
Pauli repulsion promoted by intramolecular quantum fluctuations. When
predicting delicate properties such as the thermal expansivity, we show that
many-body dispersion interactions and sophisticated treatments of Pauli
repulsion are needed in dispersion-bound molecular crystals.
| cond-mat.mtrl-sci | we explore how anharmonicity nuclear quantum effects nqe manybody dispersion interactions and pauli repulsion influence thermal properties of dispersionbound molecular crystals accounting for anharmonicity with ab initio molecular dynamics yields cell parameters accurate to within 2 of experiment for a set of pyridinelike molecular crystals at finite temperatures and pressures from the experimental thermal expansion curve we find that pyridinei has a debye temperature just above its melting point indicating sizable nqe across the entire crystalline range of stability we find that nqe lead to a substantial volume increase in pyridinei approx 40 more than classical thermal expansion at 153 k and attribute this to intermolecular pauli repulsion promoted by intramolecular quantum fluctuations when predicting delicate properties such as the thermal expansivity we show that manybody dispersion interactions and sophisticated treatments of pauli repulsion are needed in dispersionbound molecular crystals | [['we', 'explore', 'how', 'anharmonicity', 'nuclear', 'quantum', 'effects', 'nqe', 'manybody', 'dispersion', 'interactions', 'and', 'pauli', 'repulsion', 'influence', 'thermal', 'properties', 'of', 'dispersionbound', 'molecular', 'crystals', 'accounting', 'for', 'anharmonicity', 'with', 'ab', 'initio', 'molecular', 'dynamics', 'yields', 'cell', 'parameters', 'accurate', 'to', 'within', '2', 'of', 'experiment', 'for', 'a', 'set', 'of', 'pyridinelike', 'molecular', 'crystals', 'at', 'finite', 'temperatures', 'and', 'pressures', 'from', 'the', 'experimental', 'thermal', 'expansion', 'curve', 'we', 'find', 'that', 'pyridinei', 'has', 'a', 'debye', 'temperature', 'just', 'above', 'its', 'melting', 'point', 'indicating', 'sizable', 'nqe', 'across', 'the', 'entire', 'crystalline', 'range', 'of', 'stability', 'we', 'find', 'that', 'nqe', 'lead', 'to', 'a', 'substantial', 'volume', 'increase', 'in', 'pyridinei', 'approx', '40', 'more', 'than', 'classical', 'thermal', 'expansion', 'at', '153', 'k', 'and', 'attribute', 'this', 'to', 'intermolecular', 'pauli', 'repulsion', 'promoted', 'by', 'intramolecular', 'quantum', 'fluctuations', 'when', 'predicting', 'delicate', 'properties', 'such', 'as', 'the', 'thermal', 'expansivity', 'we', 'show', 'that', 'manybody', 'dispersion', 'interactions', 'and', 'sophisticated', 'treatments', 'of', 'pauli', 'repulsion', 'are', 'needed', 'in', 'dispersionbound', 'molecular', 'crystals']] | [-0.1230861854059827, 0.23578379488625453, -0.08465632251789108, 0.05608213310359347, -0.0028110920889850926, -0.10197141607418683, 0.12875791910953602, 0.36955859328565355, -0.25795608628515554, -0.28490254027180045, -0.03733959176101694, -0.32572974911753966, -0.08902444981504232, 0.15442771628594903, 0.08739958559881951, 0.005416728644751643, 0.040167770619839706, -0.03767406098032713, -0.10494457428114187, -0.19007216027239338, 0.23213950811323764, 0.060792860080255195, 0.24412042718305363, 0.1727108476094573, 0.05382253712056862, 0.0019287866889499128, 0.09468050602042828, 0.04713676413110293, -0.17818769446469507, 0.042558854819028914, 0.2684135573560043, -0.06563619520474116, 0.24076110294417424, -0.44568406219375045, -0.26199669361470596, 0.059344460530316126, 0.12031722070498611, 0.1664384302104522, -0.037010127260466964, -0.222930828383302, 0.027314722558538264, -0.1817756516050876, -0.1433007245650515, -0.15235263188258294, 0.03190536315977464, 0.020074254449676063, -0.2193061646539718, 0.19402495602159486, 0.014385749055209625, 0.13016046267961534, -0.0693037263571408, -0.1709773693814093, -0.0239360230642727, 0.052708876400763126, -0.028213609650265425, 0.005277383247362997, 0.251070918275646, -0.13737344304065438, -0.03903999330941588, 0.4468195183093057, -0.04592643703065679, -0.0877432836466195, 0.19624491828932045, -0.18213553761426524, -0.09712694143629907, 0.20710568984641747, 0.09724813616519574, 0.02105506050729138, -0.14173634381425954, 0.05150902067030342, 0.052427247585215164, 0.19965806415904594, 0.07930475969025043, 0.07502944886372835, 0.2158405908575172, 0.15016975788560505, 0.009696907617206521, 0.12173593742901336, -0.09724420863152344, -0.12594838920460247, -0.22740765116502779, -0.12215059015440655, -0.17523465146009318, 0.10906264312592719, -0.12059122538801817, -0.17489904407000936, 0.32583258497384926, 0.17242138743912458, 0.13518801732082947, -0.008548192209298791, 0.21860247189247542, 0.05651655522706278, 0.07879833573379609, 0.0209996557164499, 0.26205936196835383, 0.15865821468212424, 0.04542532642303473, -0.34434442519148645, 0.04570919692666982, -0.0004653771312030799] |
1,803.00537 | Detecting metal-poor gas accretion in the star-forming dwarf galaxies UM
461 and Mrk 600 | Using VIMOS-IFU observations, we study the interstellar medium (ISM) of two
star-forming dwarf galaxies, UM 461 and Mrk 600. Our aim was to search for the
existence of metallicity inhomogeneities that might arise from infall of nearly
pristine gas feeding ongoing localized star-formation. The IFU data allowed us
to study the impact of external gas accretion on the chemical evolution as well
as the ionised gas kinematics and morphologies of these galaxies. Both systems
show signs of morphological distortions, including cometary-like morphologies.
We analysed the spatial variation of 12 + log(O/H) abundances within both
galaxies using the direct method (T_e), the widely applied HII-CHI-mistry code,
as well as by employing different standard calibrations. For UM 461 our results
show that the ISM is fairly well mixed, at large scales, however we find an
off-centre and low-metallicity region with 12 + log(O/H) < 7.6 in the SW part
of the brightest HII region, using the direct method. This result is consistent
with the recent infall of a low mass metal-poor dwarf or HI cloud into the
region now exhibiting the lowest metallicity, which also displays localized
perturbed neutral and ionized gas kinematics. Mrk 600 in contrast, appears to
be chemically homogeneous on both large and small scales. The intrinsic
differences in the spatially resolved properties of the ISM in our analysed
galaxies are consistent with these systems being at different evolutionary
stages.
| astro-ph.GA | using vimosifu observations we study the interstellar medium ism of two starforming dwarf galaxies um 461 and mrk 600 our aim was to search for the existence of metallicity inhomogeneities that might arise from infall of nearly pristine gas feeding ongoing localized starformation the ifu data allowed us to study the impact of external gas accretion on the chemical evolution as well as the ionised gas kinematics and morphologies of these galaxies both systems show signs of morphological distortions including cometarylike morphologies we analysed the spatial variation of 12 logoh abundances within both galaxies using the direct method t_e the widely applied hiichimistry code as well as by employing different standard calibrations for um 461 our results show that the ism is fairly well mixed at large scales however we find an offcentre and lowmetallicity region with 12 logoh 76 in the sw part of the brightest hii region using the direct method this result is consistent 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1,803.00538 | Inclined asymmetric librations in exterior resonances | Librational motion in celestial mechanics is generally associated with the
existence of stable resonant configurations and signified by the existence of
stable periodic solutions and oscillation of critical (resonant) angles. When
such an oscillation takes place around a value different than 0 or $\pi$, the
libration is called asymmetric. In the context of the planar circular
restricted three-body problem (CRTBP), asymmetric librations have been
identified for the exterior mean-motion resonances (MMRs) 1:2, 1:3 etc. as well
as for co-orbital motion (1:1). In exterior MMRs the massless body is the outer
one. In this paper, we study asymmetric librations in the 3-dimensional space.
We employ the computational approach of Markellos (1978) and compute families
of asymmetric periodic orbits and their stability. Stable, asymmetric periodic
orbits are surrounded in phase space by domains of initial conditions which
correspond to stable evolution and librating resonant angles. Our computations
were focused on the spatial circular restricted three-body model of the
Sun-Neptune-TNO system (TNO= trans-Neptunian object). We compare our results
with numerical integrations of observed TNOs, which reveal that some of them
perform 1:2-resonant, inclined asymmetric librations. For the stable 1:2 TNOs
librators, we find that their libration seems to be related with the vertically
stable planar asymmetric orbits of our model, rather than the 3-dimensional
ones found in the present study.
| astro-ph.EP | librational motion in celestial mechanics is generally associated with the existence of stable resonant configurations and signified by the existence of stable periodic solutions and oscillation of critical resonant angles when such an oscillation takes place around a value different than 0 or pi the libration is called asymmetric in the context of the planar circular restricted threebody problem crtbp asymmetric librations have been identified for the exterior meanmotion resonances mmrs 12 13 etc as well as for coorbital motion 11 in exterior mmrs the massless body is the outer one in this paper we study asymmetric librations in the 3dimensional space we employ the computational approach of markellos 1978 and compute families of asymmetric periodic orbits and their stability stable asymmetric periodic orbits are surrounded in phase space by domains of initial conditions which correspond to stable evolution and librating resonant angles our computations were focused on the spatial circular restricted threebody model of the sunneptunetno system tno transneptunian object we compare our results with numerical integrations of observed tnos which reveal that some of them perform 12resonant inclined asymmetric librations for the stable 12 tnos librators we find that their libration seems to be related with the vertically stable planar asymmetric orbits of our model rather than the 3dimensional ones found in the present study | [['librational', 'motion', 'in', 'celestial', 'mechanics', 'is', 'generally', 'associated', 'with', 'the', 'existence', 'of', 'stable', 'resonant', 'configurations', 'and', 'signified', 'by', 'the', 'existence', 'of', 'stable', 'periodic', 'solutions', 'and', 'oscillation', 'of', 'critical', 'resonant', 'angles', 'when', 'such', 'an', 'oscillation', 'takes', 'place', 'around', 'a', 'value', 'different', 'than', '0', 'or', 'pi', 'the', 'libration', 'is', 'called', 'asymmetric', 'in', 'the', 'context', 'of', 'the', 'planar', 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1,803.00539 | Zeroes of polynomials on definable hypersurfaces: pathologies exist, but
they are rare | Given a sequence $\{Z_d\}_{d\in \mathbb{N}}$ of smooth and compact
hypersurfaces in $\mathbb{R}^{n-1}$, we prove that (up to extracting
subsequences) there exists a regular definable hypersurface $\Gamma\subset
\mathbb{R}\mathrm{P}^n$ such that each manifold $Z_d$ appears as a component of
the zero set on $\Gamma$ of some polynomial of degree $d$. (This is in sharp
contrast with the case when $\Gamma$ is algebraic, where for example the
homological complexity of the zero set of a polynomial $p$ on $\Gamma$ is
bounded by a polynomial in $\mathrm{deg}(p)$.) We call these "pathological
examples".
In particular, we show that for every $0 \leq k \leq n-2$ and every sequence
of natural numbers $a=\{a_d\}_{d\in \mathbb{N}}$ there is a regular, compact
and definable hypersurface $\Gamma\subset \mathbb{R}\mathrm{P}^n$, a
subsequence $\{a_{d_m}\}_{m\in \mathbb{N}}$ and homogeneous polynomials
$\{p_{m}\}_{m\in \mathbb{N}}$ of degree $\mathrm{deg}(p_m)=d_m$ such that:
\begin{equation} \label{eq:pathintro} b_k(\Gamma\cap Z(p_m))\geq
a_{d_m}.\end{equation} (Here $b_k$ denotes the $k$-th Betti number.) This
generalizes a result of Gwo\'zdziewicz, Kurdyka and Parusi\'nski.
On the other hand, for a given definable $\Gamma$ we show that the
Fubini-Study measure, in the gaussian space of polynomials of degree $d$, of
the set $\Sigma_{d_m,a, \Gamma}$ of polynomials verifying $b_k(\Gamma\cap
Z(p_m))\geq a_{d_m}$ is positive, but there exists a contant $c_\Gamma$ such
that this measure can be bounded by: \begin{equation} 0<\mathbb{P}(\Sigma_{d_m,
a, \Gamma})\leq \frac{c_{\Gamma} d_m^{\frac{n-1}{2}}}{a_{d_m}}. \end{equation}
This shows that the set of "pathological examples" has "small" measure.
| math.AG | given a sequence z_d_din mathbbn of smooth and compact hypersurfaces in mathbbrn1 we prove that up to extracting subsequences there exists a regular definable hypersurface gammasubset mathbbrmathrmpn such that each manifold z_d appears as a component of the zero set on gamma of some polynomial of degree d this is in sharp contrast with the case when gamma is algebraic where for example the homological complexity of the zero set of a polynomial p on gamma is bounded by a polynomial in mathrmdegp we call these pathological examples in particular we show that for every 0 leq k leq n2 and every sequence of natural numbers aa_d_din mathbbn there is a regular compact and definable hypersurface gammasubset mathbbrmathrmpn a subsequence a_d_m_min mathbbn and homogeneous polynomials p_m_min mathbbn of degree mathrmdegp_md_m such that beginequation labeleqpathintro b_kgammacap zp_mgeq a_d_mendequation here b_k denotes the kth betti number this generalizes a result of gwozdziewicz kurdyka and parusinski on the other hand for a given definable gamma we show that the fubinistudy measure in the gaussian space of polynomials of degree d of the set sigma_d_ma gamma of polynomials verifying b_kgammacap zp_mgeq a_d_m is positive but there exists a contant c_gamma such that this measure can be bounded by beginequation 0mathbbpsigma_d_m a gammaleq fracc_gamma d_mfracn12a_d_m endequation this shows that the set of pathological examples has small measure | [['given', 'a', 'sequence', 'z_d_din', 'mathbbn', 'of', 'smooth', 'and', 'compact', 'hypersurfaces', 'in', 'mathbbrn1', 'we', 'prove', 'that', 'up', 'to', 'extracting', 'subsequences', 'there', 'exists', 'a', 'regular', 'definable', 'hypersurface', 'gammasubset', 'mathbbrmathrmpn', 'such', 'that', 'each', 'manifold', 'z_d', 'appears', 'as', 'a', 'component', 'of', 'the', 'zero', 'set', 'on', 'gamma', 'of', 'some', 'polynomial', 'of', 'degree', 'd', 'this', 'is', 'in', 'sharp', 'contrast', 'with', 'the', 'case', 'when', 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1,803.0054 | A Poset Structure on the Alternating Group Generated by 3-Cycles | We investigate the poset structure on the alternating group that arises when
the latter is generated by 3-cycles. We study intervals in this poset and give
several enumerative results, as well as a complete description of the orbits of
the Hurwitz action on maximal chains. Our motivating example is the
well-studied absolute order arising when the symmetric group is generated by
transpositions, i.e. 2-cycles, and we compare our results to this case along
the way. In particular, noncrossing partitions arise naturally in both
settings.
| math.CO | we investigate the poset structure on the alternating group that arises when the latter is generated by 3cycles we study intervals in this poset and give several enumerative results as well as a complete description of the orbits of the hurwitz action on maximal chains our motivating example is the wellstudied absolute order arising when the symmetric group is generated by transpositions ie 2cycles and we compare our results to this case along the way in particular noncrossing partitions arise naturally in both settings | [['we', 'investigate', 'the', 'poset', 'structure', 'on', 'the', 'alternating', 'group', 'that', 'arises', 'when', 'the', 'latter', 'is', 'generated', 'by', '3cycles', 'we', 'study', 'intervals', 'in', 'this', 'poset', 'and', 'give', 'several', 'enumerative', 'results', 'as', 'well', 'as', 'a', 'complete', 'description', 'of', 'the', 'orbits', 'of', 'the', 'hurwitz', 'action', 'on', 'maximal', 'chains', 'our', 'motivating', 'example', 'is', 'the', 'wellstudied', 'absolute', 'order', 'arising', 'when', 'the', 'symmetric', 'group', 'is', 'generated', 'by', 'transpositions', 'ie', '2cycles', 'and', 'we', 'compare', 'our', 'results', 'to', 'this', 'case', 'along', 'the', 'way', 'in', 'particular', 'noncrossing', 'partitions', 'arise', 'naturally', 'in', 'both', 'settings']] | [-0.16727080440060013, 0.10177964943328074, -0.018680556876850978, 0.08728809806191185, -0.07869517084743295, -0.048676402313590404, 0.037279777395139845, 0.3759701614672806, -0.31659965392845196, -0.2653127243143639, 0.13172046473621213, -0.26873758324377595, -0.17957555563632577, 0.19998018795047842, -0.11559931458101519, -0.05615864929166578, 0.07170470672038694, 0.07574523013179368, -0.06800587574807218, -0.2712653240139064, 0.36116171597192687, -0.027386534410262748, 0.24419924148934938, 0.020750422463087097, 0.050982851086051335, 0.054955575130103775, -0.023671608983672092, 0.053321918206555505, -0.15972097664615875, 0.12145781349612489, 0.2546005473871316, 0.08853115931907225, 0.18133269706673413, -0.3879747094276051, -0.14360419741743022, 0.15184450668415853, 0.143876169780491, 0.11892141565857899, -0.03835629498020613, -0.268938234516619, 0.10226382072349745, -0.16481323090071479, -0.12101779682450883, -0.06158325967234781, 0.011016068026600849, 0.03402969219799464, -0.24865786907321308, 0.007197293301855791, 0.11097045863806713, 0.07715806034615352, -0.00828390718171639, -0.11097959623051186, -0.022229392843742278, 0.1244831531553895, 0.07838344157096885, 0.013654413085619342, 0.06215403300510453, -0.09412408107614499, -0.18003232856946333, 0.42212453249487136, -0.024642682862966985, -0.19822366174221748, 0.1547938658124102, -0.17616000344111984, -0.16242365057336255, 0.06408414632148508, 0.11690956694240283, 0.1746525573239307, -0.0523150204372498, 0.13694393308694652, -0.16440661538979925, 0.07443485480395057, 0.08859696365626794, -0.02058901169082327, 0.13705617082970484, 0.11465965361830535, 0.0884711331399601, 0.23590617817327647, -0.0016283837834461814, -0.11602268355255503, -0.32372707465574857, -0.12125921960077471, -0.1217514727087248, 0.058043694034928366, -0.09832686385925626, -0.1769364872681243, 0.41891907565739184, 0.10159444875483002, 0.2320580920703443, 0.08873858982475386, 0.24780500236721265, 0.07996018658879966, 0.037615322785097216, 0.0017833240549190946, 0.10022739598172761, 0.16808360502944283, -0.051894554236371605, -0.20511642338464126, 0.03003559534859267, 0.14390126303104417] |
1,803.00541 | White dwarfs and revelations | We use the most recent, complete and independent measurements of masses and
radii of white dwarfs in binaries to bound the class of non-trivial modified
gravity theories, viable after GW170817/GRB170817, using its effect on the
mass-radius relation of the stars. We show that the uncertainty in the latest
data is sufficiently small that residual evolutionary effects, most notably the
effect of core composition, finite temperature and envelope structure, must now
accounted for if correct conclusions about the nature of gravity are to be
made. We model corrections resulting from finite temperature and envelopes to a
base Hamada-Salpeter cold equation of state and derive consistent bounds on the
possible modifications of gravity in the stars' interiors, finding that $Y<
0.14$ at 95\% confidence, an improvement of a factor of three with respect to
previous bounds. Finally, our analysis reveals some fundamental degeneracies
between the theory of gravity and the precise chemical makeup of white dwarfs.
| astro-ph.CO astro-ph.SR gr-qc | we use the most recent complete and independent measurements of masses and radii of white dwarfs in binaries to bound the class of nontrivial modified gravity theories viable after gw170817grb170817 using its effect on the massradius relation of the stars we show that the uncertainty in the latest data is sufficiently small that residual evolutionary effects most notably the effect of core composition finite temperature and envelope structure must now accounted for if correct conclusions about the nature of gravity are to be made we model corrections resulting from finite temperature and envelopes to a base hamadasalpeter cold equation of state and derive consistent bounds on the possible modifications of gravity in the stars interiors finding that y 014 at 95 confidence an improvement of a factor of three with respect to previous bounds finally our analysis reveals some fundamental degeneracies between the theory of gravity and the precise chemical makeup of white dwarfs | [['we', 'use', 'the', 'most', 'recent', 'complete', 'and', 'independent', 'measurements', 'of', 'masses', 'and', 'radii', 'of', 'white', 'dwarfs', 'in', 'binaries', 'to', 'bound', 'the', 'class', 'of', 'nontrivial', 'modified', 'gravity', 'theories', 'viable', 'after', 'gw170817grb170817', 'using', 'its', 'effect', 'on', 'the', 'massradius', 'relation', 'of', 'the', 'stars', 'we', 'show', 'that', 'the', 'uncertainty', 'in', 'the', 'latest', 'data', 'is', 'sufficiently', 'small', 'that', 'residual', 'evolutionary', 'effects', 'most', 'notably', 'the', 'effect', 'of', 'core', 'composition', 'finite', 'temperature', 'and', 'envelope', 'structure', 'must', 'now', 'accounted', 'for', 'if', 'correct', 'conclusions', 'about', 'the', 'nature', 'of', 'gravity', 'are', 'to', 'be', 'made', 'we', 'model', 'corrections', 'resulting', 'from', 'finite', 'temperature', 'and', 'envelopes', 'to', 'a', 'base', 'hamadasalpeter', 'cold', 'equation', 'of', 'state', 'and', 'derive', 'consistent', 'bounds', 'on', 'the', 'possible', 'modifications', 'of', 'gravity', 'in', 'the', 'stars', 'interiors', 'finding', 'that', 'y', '014', 'at', '95', 'confidence', 'an', 'improvement', 'of', 'a', 'factor', 'of', 'three', 'with', 'respect', 'to', 'previous', 'bounds', 'finally', 'our', 'analysis', 'reveals', 'some', 'fundamental', 'degeneracies', 'between', 'the', 'theory', 'of', 'gravity', 'and', 'the', 'precise', 'chemical', 'makeup', 'of', 'white', 'dwarfs']] | [-0.09232906115817298, 0.14056824735991158, -0.10863760785861432, 0.0848702901007767, -0.09853837031895589, -0.07271886414137523, 0.10921059427461219, 0.31727822612676965, -0.1883329264666444, -0.3464347268075615, 0.07002005400672236, -0.2903751040514755, -0.07756246696839011, 0.20700148681766892, -0.06331818903555886, 0.016013865721776568, 0.06746320530165624, 0.022740534677531718, -0.10398426114797506, -0.26365303412220736, 0.35294595065734985, 0.06896636673665948, 0.185772839604301, 0.043554567509808725, 0.05750219170754702, -0.08161854938187293, -0.03937248992090309, 0.02281266264923799, -0.17480403439084943, 0.0718146457986318, 0.2025095425011195, 0.12113546885393589, 0.19188622302700473, -0.39332937889144215, -0.2409623407224181, 0.07145013855341331, 0.10541019163103652, 0.10212938849336321, -0.06100506397534015, -0.24238260678401657, 0.09106290255314027, -0.17338999378568443, -0.1440566029326108, -0.026769388234242797, 0.05587682158281831, -0.02657737376974087, -0.24382148412673574, 0.09659442870179191, 0.07644935097931393, 0.03033828584011644, -0.09313508597781613, -0.17902859879234856, -0.05933383868327119, 0.10852861346517641, 0.049565123798521724, 0.014349598967543753, 0.09664116418418034, -0.13010650285899542, -0.03258536970487943, 0.392084674169095, -0.14190923132800412, -0.12892941187142, 0.19405350934616045, -0.18403122727881724, -0.16084882388684874, 0.07872340570688002, 0.15585649079079494, 0.14247572288456323, -0.15870416807477963, 0.06835393211957508, 0.02299119921793279, 0.1841465534250203, 0.05274207618908564, 0.06555521950481068, 0.29924173220550937, 0.15246430911678258, 0.023969428344188554, 0.05558655891141634, -0.11431494973734707, -0.0922712248380106, -0.30884268857832803, -0.10205818059445224, -0.11502925587180805, 0.03489727262134884, -0.1482668473903399, -0.15375907134454647, 0.3258319225983302, 0.17187700830675712, 0.1864786054050599, 0.051634599497590805, 0.278023844701238, 0.08513727599424065, 0.05957325600933185, 0.08510310655784499, 0.2895660201513812, 0.23345803660585693, 0.013490738050007311, -0.248468365414546, 0.060373235464028674, 0.00869162603722591] |
1,803.00542 | The Burgess bound via a trivial delta method | Let $g$ be a fixed Hecke cusp form for $\mathrm{SL}(2,\mathbb{Z})$ and $\chi$
be a primitive Dirichlet character of conductor $M$. The best known subconvex
bound for $L(1/2,g\otimes \chi)$ is of Burgess strength. The bound was proved
by a couple of methods: shifted convolution sums and the Petersson/Kuznetsov
formula analysis. It is natural to ask what inputs are really needed to prove a
Burgess-type bound on $\rm GL(2)$. In this paper, we give a new proof of the
Burgess-type bounds ${L(1/2,g\otimes \chi)\ll_{g,\varepsilon}
M^{1/2-1/8+\varepsilon}}$ and $L(1/2,\chi)\ll_{\varepsilon}
M^{1/4-1/16+\varepsilon}$ that does not require the basic tools of the previous
proofs and instead uses a trivial delta method.
| math.NT | let g be a fixed hecke cusp form for mathrmsl2mathbbz and chi be a primitive dirichlet character of conductor m the best known subconvex bound for l12gotimes chi is of burgess strength the bound was proved by a couple of methods shifted convolution sums and the peterssonkuznetsov formula analysis it is natural to ask what inputs are really needed to prove a burgesstype bound on rm gl2 in this paper we give a new proof of the burgesstype bounds l12gotimes chill_gvarepsilon m1218varepsilon and l12chill_varepsilon m14116varepsilon that does not require the basic tools of the previous proofs and instead uses a trivial delta method | [['let', 'g', 'be', 'a', 'fixed', 'hecke', 'cusp', 'form', 'for', 'mathrmsl2mathbbz', 'and', 'chi', 'be', 'a', 'primitive', 'dirichlet', 'character', 'of', 'conductor', 'm', 'the', 'best', 'known', 'subconvex', 'bound', 'for', 'l12gotimes', 'chi', 'is', 'of', 'burgess', 'strength', 'the', 'bound', 'was', 'proved', 'by', 'a', 'couple', 'of', 'methods', 'shifted', 'convolution', 'sums', 'and', 'the', 'peterssonkuznetsov', 'formula', 'analysis', 'it', 'is', 'natural', 'to', 'ask', 'what', 'inputs', 'are', 'really', 'needed', 'to', 'prove', 'a', 'burgesstype', 'bound', 'on', 'rm', 'gl2', 'in', 'this', 'paper', 'we', 'give', 'a', 'new', 'proof', 'of', 'the', 'burgesstype', 'bounds', 'l12gotimes', 'chill_gvarepsilon', 'm1218varepsilon', 'and', 'l12chill_varepsilon', 'm14116varepsilon', 'that', 'does', 'not', 'require', 'the', 'basic', 'tools', 'of', 'the', 'previous', 'proofs', 'and', 'instead', 'uses', 'a', 'trivial', 'delta', 'method']] | [-0.14597369506069904, 0.09173957797853897, -0.15383023467923826, 0.0843833092864467, -0.1489410374512469, -0.18315570926642977, 0.07364296794912661, 0.2650529285892844, -0.25808552594389766, -0.28864465169923886, 0.08091372909620986, -0.24395209065793702, -0.15010878045965606, 0.2558041899440771, -0.09509204263061595, 0.01701979016070254, 0.05955624305352103, 0.14316500695228265, -0.0701922245377015, -0.2698850048473105, 0.3158887308424407, -0.025827973033301532, 0.20314087010016615, 0.08897753558024608, 0.024103286351116065, -0.011613525154340701, 0.01296010431057463, -0.10171273351443233, -0.18292034237227503, 0.16081136221570583, 0.24425807946439212, 0.09070285309038202, 0.25034258357118233, -0.3894793571671471, -0.1288761931597643, 0.1748464913701658, 0.1542274834937416, 0.019534181338713097, 0.013270421134317681, -0.2419084411036844, 0.13420700248419357, -0.1461040579500453, -0.12758289026775552, -0.08401866850908846, 0.04044791702835937, 0.0055474613630697904, -0.34161972109480604, 0.029180737100735616, 0.1734963486281534, 0.07089348862064071, -0.025107120057024684, -0.18732598019899646, 0.04718202735724238, 0.06293063036476572, -0.0030984672321210383, 0.06702851821804263, 0.06279836197791155, -0.10993303720169934, -0.07745709019945934, 0.33923928982888657, -0.08635616889417481, -0.2144426702458683, 0.11742510576914356, -0.14693552187721556, -0.14702300915087108, 0.08952126812558465, 0.0948079807421891, 0.17248427247977816, -0.06219910275710087, 0.15823727518485006, -0.13839014556530552, 0.16524596797535196, 0.09956685207725968, -0.02407551486491381, 0.14158441480443193, 0.06296879398238768, 0.10216597751908314, 0.13589784023740017, -0.0021049732822575606, 0.01411410901346244, -0.33072251616977155, -0.20441634477113743, -0.2130389243902755, 0.09993377089161488, -0.060376871757398476, -0.17719664846057034, 0.32916213221566676, 0.09516455384436995, 0.18916020777154094, 0.1243223688506987, 0.24059372007225951, 0.1535285143860771, 0.08015552261834576, 0.09033510736965884, 0.13823505988693796, 0.19899880935796924, -0.000529313629764753, -0.12052275717239051, 0.06571012006315868, 0.16718947464930048] |
1,803.00543 | A local model of warped magnetised accretion discs | We derive expressions for the local ideal magnetohydrodynamic (MHD) equations
for a warped astrophysical disc using a warped shearing box formalism. A
perturbation expansion of these equations to first order in the warping
amplitude leads to a linear theory for the internal local structure of
magnetised warped discs in the absence of MRI turbulence. In the special case
of an external magnetic field oriented normal to the disc surface these
equations are solved semi-analytically via a spectral method. The relatively
rapid warp propagation of low-viscosity Keplerian hydrodynamic warped discs is
diminished by the presence of a magnetic field. The magnetic tension adds a
stiffness to the epicyclic oscillations, detuning the natural frequency from
the orbital frequency and thereby removing the resonant forcing of epicyclic
modes characteristic of hydrodynamic warped discs. In contrast to a single
hydrodynamic resonance we find a series of Alfv\'{e}nic-epicyclic modes which
may be resonantly forced by the warped geometry at critical values of the
orbital shear rate $q$ and magnetic field strength. At these critical points
large internal torques are generated and anomalously rapid warp propagation
occurs. As our treatment omits MRI turbulence, these results are of greatest
applicability to strongly magnetised discs.
| astro-ph.SR astro-ph.HE | we derive expressions for the local ideal magnetohydrodynamic mhd equations for a warped astrophysical disc using a warped shearing box formalism a perturbation expansion of these equations to first order in the warping amplitude leads to a linear theory for the internal local structure of magnetised warped discs in the absence of mri turbulence in the special case of an external magnetic field oriented normal to the disc surface these equations are solved semianalytically via a spectral method the relatively rapid warp propagation of lowviscosity keplerian hydrodynamic warped discs is diminished by the presence of a magnetic field the magnetic tension adds a stiffness to the epicyclic oscillations detuning the natural frequency from the orbital frequency and thereby removing the resonant forcing of epicyclic modes characteristic of hydrodynamic warped discs in contrast to a single hydrodynamic resonance we find a series of alfvenicepicyclic modes which may be resonantly forced by the warped geometry at critical values of the orbital shear rate q and magnetic field strength at these critical points large internal torques are generated and anomalously rapid warp propagation occurs as our treatment omits mri turbulence these results are of greatest applicability to strongly magnetised discs | [['we', 'derive', 'expressions', 'for', 'the', 'local', 'ideal', 'magnetohydrodynamic', 'mhd', 'equations', 'for', 'a', 'warped', 'astrophysical', 'disc', 'using', 'a', 'warped', 'shearing', 'box', 'formalism', 'a', 'perturbation', 'expansion', 'of', 'these', 'equations', 'to', 'first', 'order', 'in', 'the', 'warping', 'amplitude', 'leads', 'to', 'a', 'linear', 'theory', 'for', 'the', 'internal', 'local', 'structure', 'of', 'magnetised', 'warped', 'discs', 'in', 'the', 'absence', 'of', 'mri', 'turbulence', 'in', 'the', 'special', 'case', 'of', 'an', 'external', 'magnetic', 'field', 'oriented', 'normal', 'to', 'the', 'disc', 'surface', 'these', 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1,803.00544 | Boundary spin polarization as robust signature of topological phase
transition in Majorana nanowires | We show that the boundary charge and spin can be used as alternative
signatures of the topological phase transition in topological models such as
semiconducting nanowires with strong Rashba spin-orbit interaction in the
presence of a magnetic field and in proximity to an $s$-wave superconductor. We
identify signatures of the topological phase transition that do not rely on the
presence of Majorana zero-energy modes and, thus, can serve as independent
probes of topological properties. The boundary spin component along the
magnetic field, obtained by summing contributions from all states below the
Fermi level, has a pronounced peak at the topological phase transition point.
Generally, such signatures can be observed at boundaries between topological
and trivial sections in nanowires and are stable against disorder.
| cond-mat.mes-hall | we show that the boundary charge and spin can be used as alternative signatures of the topological phase transition in topological models such as semiconducting nanowires with strong rashba spinorbit interaction in the presence of a magnetic field and in proximity to an swave superconductor we identify signatures of the topological phase transition that do not rely on the presence of majorana zeroenergy modes and thus can serve as independent probes of topological properties the boundary spin component along the magnetic field obtained by summing contributions from all states below the fermi level has a pronounced peak at the topological phase transition point generally such signatures can be observed at boundaries between topological and trivial sections in nanowires and are stable against disorder | [['we', 'show', 'that', 'the', 'boundary', 'charge', 'and', 'spin', 'can', 'be', 'used', 'as', 'alternative', 'signatures', 'of', 'the', 'topological', 'phase', 'transition', 'in', 'topological', 'models', 'such', 'as', 'semiconducting', 'nanowires', 'with', 'strong', 'rashba', 'spinorbit', 'interaction', 'in', 'the', 'presence', 'of', 'a', 'magnetic', 'field', 'and', 'in', 'proximity', 'to', 'an', 'swave', 'superconductor', 'we', 'identify', 'signatures', 'of', 'the', 'topological', 'phase', 'transition', 'that', 'do', 'not', 'rely', 'on', 'the', 'presence', 'of', 'majorana', 'zeroenergy', 'modes', 'and', 'thus', 'can', 'serve', 'as', 'independent', 'probes', 'of', 'topological', 'properties', 'the', 'boundary', 'spin', 'component', 'along', 'the', 'magnetic', 'field', 'obtained', 'by', 'summing', 'contributions', 'from', 'all', 'states', 'below', 'the', 'fermi', 'level', 'has', 'a', 'pronounced', 'peak', 'at', 'the', 'topological', 'phase', 'transition', 'point', 'generally', 'such', 'signatures', 'can', 'be', 'observed', 'at', 'boundaries', 'between', 'topological', 'and', 'trivial', 'sections', 'in', 'nanowires', 'and', 'are', 'stable', 'against', 'disorder']] | [-0.20776558932999709, 0.24987309119662712, -0.05688466515573787, 0.052764231925905965, -0.043761202084975755, -0.15703547770929774, 0.05395098911916337, 0.38254231741515604, -0.23408836636661998, -0.2886450109109888, 0.027380965222278987, -0.32835906593325903, -0.13779668216177118, 0.16743735299063317, 0.046185354656744296, 0.020218248017192856, -0.03338136999845141, -6.288910905520122e-05, -0.1236716787419774, -0.15652177846854234, 0.364425417541231, -0.04258578905941752, 0.3037124056543216, 0.12593015262145338, -0.034452017627626175, -0.04110793319220344, 0.13067807416938912, 0.05930666422955995, -0.10961618374645563, -0.015325880600461297, 0.2703114817451889, -0.09489352327003191, 0.12290620482413143, -0.4604164502030708, -0.2147193558247215, 0.06396539007480127, 0.16038623303402125, 0.14869405477254735, -0.05359754221971957, -0.3636692618360607, 0.10032922890400742, -0.13038356817039715, -0.11634221733207019, -0.11153743044299082, -0.023566455018093308, -0.04199107172066058, -0.2168102343756009, 0.0782005952205509, 0.06576203967243947, 0.08393620109285901, -0.0714598697065035, -0.07510869011918946, -0.13291066069519375, 0.10865219756658, 0.06311120968539177, 0.0475278324572979, 0.14367338832528367, -0.15063687037237414, -0.1551687212176318, 0.34441864849740217, -0.12176757341826229, -0.1251547519359889, 0.2219425534254046, -0.14710892017976177, -0.08412974732132947, 0.16361309673894592, 0.1172814004408807, 0.06913289326698353, -0.06969929794303892, 0.07387857296365896, 0.035056835818445174, 0.13204568384117749, 0.00713287151231226, 0.1381141768874434, 0.345807103091866, 0.13342599414773587, 0.08609928623243136, 0.13067524085707236, -0.14699789841008198, -0.035424048276012386, -0.2900903913366601, -0.18583090858518836, -0.23892531953695254, 0.04711304900505697, -0.0417761902637899, -0.22982587615346037, 0.42250087401049774, 0.1625889416261599, 0.22574918669444033, -0.06671629976519058, 0.23935218681997764, 0.1230048702497838, 0.09489358991111924, 0.02634809524714341, 0.2702943964263167, 0.16720295538633637, 0.05248806101641035, -0.25612519968611497, 0.07567941100238179, 0.030271980211108437] |
1,803.00545 | To catch and reverse a quantum jump mid-flight | Quantum physics was invented to account for two fundamental features of
measurement results -- their discreetness and randomness. Emblematic of these
features is Bohr's idea of quantum jumps between two discrete energy levels of
an atom. Experimentally, quantum jumps were first observed in an atomic ion
driven by a weak deterministic force while under strong continuous energy
measurement. The times at which the discontinuous jump transitions occur are
reputed to be fundamentally unpredictable. Can there be, despite the
indeterminism of quantum physics, a possibility to know if a quantum jump is
about to occur or not? Here, we answer this question affirmatively by
experimentally demonstrating that the jump from the ground to an excited state
of a superconducting artificial three-level atom can be tracked as it follows a
predictable "flight," by monitoring the population of an auxiliary energy level
coupled to the ground state. The experimental results demonstrate that the jump
evolution when completed is continuous, coherent, and deterministic.
Furthermore, exploiting these features and using real-time monitoring and
feedback, we catch and reverse a quantum jump mid-flight, thus
deterministically preventing its completion. Our results, which agree with
theoretical predictions essentially without adjustable parameters, support the
modern quantum trajectory theory and provide new ground for the exploration of
real-time intervention techniques in the control of quantum systems, such as
early detection of error syndromes.
| quant-ph | quantum physics was invented to account for two fundamental features of measurement results their discreetness and randomness emblematic of these features is bohrs idea of quantum jumps between two discrete energy levels of an atom experimentally quantum jumps were first observed in an atomic ion driven by a weak deterministic force while under strong continuous energy measurement the times at which the discontinuous jump transitions occur are reputed to be fundamentally unpredictable can there be despite the indeterminism of quantum physics a possibility to know if a quantum jump is about to occur or not here we answer this question affirmatively by experimentally demonstrating that the jump from the ground to an excited state of a superconducting artificial threelevel atom can be tracked as it follows a predictable flight by monitoring the population of an auxiliary energy level coupled to the ground state the experimental results demonstrate that the jump evolution when completed is continuous coherent and deterministic furthermore exploiting these features and using realtime monitoring and feedback we catch and reverse a quantum jump midflight thus deterministically preventing its completion our results which agree with theoretical predictions essentially without adjustable parameters support the modern quantum trajectory theory and provide new ground for the exploration of realtime intervention techniques in the control of quantum systems such as early detection of error syndromes | [['quantum', 'physics', 'was', 'invented', 'to', 'account', 'for', 'two', 'fundamental', 'features', 'of', 'measurement', 'results', 'their', 'discreetness', 'and', 'randomness', 'emblematic', 'of', 'these', 'features', 'is', 'bohrs', 'idea', 'of', 'quantum', 'jumps', 'between', 'two', 'discrete', 'energy', 'levels', 'of', 'an', 'atom', 'experimentally', 'quantum', 'jumps', 'were', 'first', 'observed', 'in', 'an', 'atomic', 'ion', 'driven', 'by', 'a', 'weak', 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1,803.00546 | Semi-Supervised Online Structure Learning for Composite Event
Recognition | Online structure learning approaches, such as those stemming from Statistical
Relational Learning, enable the discovery of complex relations in noisy data
streams. However, these methods assume the existence of fully-labelled training
data, which is unrealistic for most real-world applications. We present a novel
approach for completing the supervision of a semi-supervised structure learning
task. We incorporate graph-cut minimisation, a technique that derives labels
for unlabelled data, based on their distance to their labelled counterparts. In
order to adapt graph-cut minimisation to first order logic, we employ a
suitable structural distance for measuring the distance between sets of logical
atoms. The labelling process is achieved online (single-pass) by means of a
caching mechanism and the Hoeffding bound, a statistical tool to approximate
globally-optimal decisions from locally-optimal ones. We evaluate our approach
on the task of composite event recognition by using a benchmark dataset for
human activity recognition, as well as a real dataset for maritime monitoring.
The evaluation suggests that our approach can effectively complete the missing
labels and eventually, improve the accuracy of the underlying structure
learning system.
| cs.AI cs.LG stat.ML | online structure learning approaches such as those stemming from statistical relational learning enable the discovery of complex relations in noisy data streams however these methods assume the existence of fullylabelled training data which is unrealistic for most realworld applications we present a novel approach for completing the supervision of a semisupervised structure learning task we incorporate graphcut minimisation a technique that derives labels for unlabelled data based on their distance to their labelled counterparts in order to adapt graphcut minimisation to first order logic we employ a suitable structural distance for measuring the distance between sets of logical atoms the labelling process is achieved online singlepass by means of a caching mechanism and the hoeffding bound a statistical tool to approximate globallyoptimal decisions from locallyoptimal ones we evaluate our approach on the task of composite event recognition by using a benchmark dataset for human activity recognition as well as a real dataset for maritime monitoring the evaluation suggests that our approach can effectively complete the missing labels and eventually improve the accuracy of the underlying structure learning system | [['online', 'structure', 'learning', 'approaches', 'such', 'as', 'those', 'stemming', 'from', 'statistical', 'relational', 'learning', 'enable', 'the', 'discovery', 'of', 'complex', 'relations', 'in', 'noisy', 'data', 'streams', 'however', 'these', 'methods', 'assume', 'the', 'existence', 'of', 'fullylabelled', 'training', 'data', 'which', 'is', 'unrealistic', 'for', 'most', 'realworld', 'applications', 'we', 'present', 'a', 'novel', 'approach', 'for', 'completing', 'the', 'supervision', 'of', 'a', 'semisupervised', 'structure', 'learning', 'task', 'we', 'incorporate', 'graphcut', 'minimisation', 'a', 'technique', 'that', 'derives', 'labels', 'for', 'unlabelled', 'data', 'based', 'on', 'their', 'distance', 'to', 'their', 'labelled', 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1,803.00547 | Observation of intrinsic chirality of surface plasmon resonances in
single nanocrystals | Surface plasmons in a centrosymmetric metal nanocrystal have been perceived
as achiral, based on the quantum-mechanical theory of molecular optical
activity. The one-electron theory is insufficient to describe optical activity
in crystals, where spatial variation of polarization states along the light
propagation direction is crucial in dimensions exceeding molecules. Such
spatial-dispersion, which can drastically modify the optical near-field in
plasmonic nanocrystals, has yet to be experimentally proved at the nanometer
scale. Here, the experimental observation of natural circular dichroism of
surface plasmons in spherical gold, silver, and copper nanocrystals in solution
is presented. It originates from spatial dispersion (nonlocality) occurred at a
dimension as small as 5 nanometers in the optical region. In particular, the
electromagnetic pressure or longitudinal volume plasmons result in phase-shift
and polarization rotation of the transverse electric field of incident light.
Dipolar surface plasmons exhibit negative ellipticity and corresponding
negative phase-shift of the electric field (i.e., optically left-handed),
whereas quadrupolar surface plasmons have positive signs in both ellipticity
and phase-shift (i.e., optically right-handed). Structural effects such as
nanocrystal assembly, nanocrystal shape, electron spin-polarization, and
plasmon-molecule interaction are accessed. Volume plasmons inside the
nanocrystal also produce a positive rotational strength for the interband
transition. This study implicates optical symmetry-breaking in isotropic
nanocrystals by the axial polarization parallel to the wavevector, which will
impact on conduction electron dynamics, hot-electron generation, and nonlinear
optical response at the surface of plasmonic nanocrystals as well as optical
excitation of bound d-band electrons.
| cond-mat.mes-hall | surface plasmons in a centrosymmetric metal nanocrystal have been perceived as achiral based on the quantummechanical theory of molecular optical activity the oneelectron theory is insufficient to describe optical activity in crystals where spatial variation of polarization states along the light propagation direction is crucial in dimensions exceeding molecules such spatialdispersion which can drastically modify the optical nearfield in plasmonic nanocrystals has yet to be experimentally proved at the nanometer scale here the experimental observation of natural circular dichroism of surface plasmons in spherical gold silver and copper nanocrystals in solution is presented it originates from spatial dispersion nonlocality occurred at a dimension as small as 5 nanometers in the optical region in particular the electromagnetic pressure or longitudinal volume plasmons result in phaseshift and polarization rotation of the transverse electric field of incident light dipolar surface plasmons exhibit negative ellipticity and corresponding negative phaseshift of the electric field ie optically lefthanded whereas quadrupolar surface plasmons have positive signs in both ellipticity and phaseshift ie optically righthanded structural effects such as nanocrystal assembly nanocrystal shape electron spinpolarization and plasmonmolecule interaction are accessed volume plasmons inside the nanocrystal also produce a positive rotational strength for the interband transition this study implicates optical symmetrybreaking in isotropic nanocrystals by the axial polarization parallel to the wavevector which will impact on conduction electron dynamics hotelectron generation and nonlinear optical response at the surface of plasmonic nanocrystals as well as optical excitation of bound dband electrons | [['surface', 'plasmons', 'in', 'a', 'centrosymmetric', 'metal', 'nanocrystal', 'have', 'been', 'perceived', 'as', 'achiral', 'based', 'on', 'the', 'quantummechanical', 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1,803.00548 | An educational website on interferometry | The present work describes a website designed for remote teaching of optical
measurements using lasers. It enables senior undergraduate and postgraduate
students to learn theoretical aspects of the subject and also have a means to
perform experiments for better understanding of the application at hand. At
this stage of web development, optical methods considered are those based on
refractive index changes in the material medium. The website is specially
designed in order to provide remote access of expensive lasers, cameras, and
other laboratory instruments by employing a commercially available web browser.
The web suite integrates remote experiments, hands-on experiments and life-like
optical images generated by using numerical simulation techniques based on Open
Foam software package. The remote experiments are real time experiments running
in the physical laboratory but can be accessed remotely from anywhere in the
world and at any time. Numerical simulation of problems enhances learning,
visualization of problems and interpretation of results. In the present work
hand-on experimental results are discussed with respect to simulated results. A
reasonable amount of resource material, specifically theoretical background of
interferometry is available on the website along with computer programs image
processing and analysis of results obtained in an experiment.
| physics.ed-ph | the present work describes a website designed for remote teaching of optical measurements using lasers it enables senior undergraduate and postgraduate students to learn theoretical aspects of the subject and also have a means to perform experiments for better understanding of the application at hand at this stage of web development optical methods considered are those based on refractive index changes in the material medium the website is specially designed in order to provide remote access of expensive lasers cameras and other laboratory instruments by employing a commercially available web browser the web suite integrates remote experiments handson experiments and lifelike optical images generated by using numerical simulation techniques based on open foam software package the remote experiments are real time experiments running in the physical laboratory but can be accessed remotely from anywhere in the world and at any time numerical simulation of problems enhances learning visualization of problems and interpretation of results in the present work handon experimental results are discussed with respect to simulated results a reasonable amount of resource material specifically theoretical background of interferometry is available on the website along with computer programs image processing and analysis of results obtained in an experiment | [['the', 'present', 'work', 'describes', 'a', 'website', 'designed', 'for', 'remote', 'teaching', 'of', 'optical', 'measurements', 'using', 'lasers', 'it', 'enables', 'senior', 'undergraduate', 'and', 'postgraduate', 'students', 'to', 'learn', 'theoretical', 'aspects', 'of', 'the', 'subject', 'and', 'also', 'have', 'a', 'means', 'to', 'perform', 'experiments', 'for', 'better', 'understanding', 'of', 'the', 'application', 'at', 'hand', 'at', 'this', 'stage', 'of', 'web', 'development', 'optical', 'methods', 'considered', 'are', 'those', 'based', 'on', 'refractive', 'index', 'changes', 'in', 'the', 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1,803.00549 | New constraints on radii and tidal deformabilities of neutron stars from
GW170817 | We explore in a parameterized manner a very large range of physically
plausible equations of state (EOSs) for compact stars for matter that is either
purely hadronic or that exhibits a phase transition. In particular, we produce
two classes of EOSs with and without phase transitions, each containing one
million EOSs. We then impose constraints on the maximum mass, ($M < 2.16
M_{\odot}$), and on the dimensionless tidal deformability ($\tilde{\Lambda}
<800$) deduced from GW170817, together with recent suggestions of lower limits
on $\tilde{\Lambda}$. Exploiting more than $10^9$ equilibrium models for each
class of EOSs, we produce distribution functions of all the stellar properties
and determine, among other quantities, the radius that is statistically most
probable for any value of the stellar mass. In this way, we deduce that the
radius of a purely hadronic neutron star with a representative mass of
$1.4\,M_{\odot}$ is constrained to be $12.00\!<\!R_{1.4}/{\rm km}\!<\!13.45$ at
a $2$-$\sigma$ confidence level, with a most likely value of
$\bar{R}_{1.4}=12.39\,{\rm km}$; similarly, the smallest dimensionless tidal
deformability is $\tilde{\Lambda}_{1.4}\!>\!375$, again at a $2$-$\sigma$
level. On the other hand, because EOSs with a phase transition allow for very
compact stars on the so-called `twin-star' branch, small radii are possible
with such EOSs although not probable, i.e. $8.53\!<\!R_{1.4}/{\rm
km}\!<\!13.74$ and $\bar{R}_{1.4}=13.06\,{\rm km}$ at a $2$-$\sigma$ level,
with $\tilde{\Lambda}_{1.4}\!>\!35.5$ at a $3$-$\sigma$ level. Finally, since
these EOSs exhibit upper limits on $\tilde{\Lambda}$, the detection of a binary
with total mass of $3.4\,M_{\odot}$ and $\tilde{\Lambda}_{1.7}\!>\!461$ can
rule out twin-star solutions.
| gr-qc astro-ph.HE nucl-th | we explore in a parameterized manner a very large range of physically plausible equations of state eoss for compact stars for matter that is either purely hadronic or that exhibits a phase transition in particular we produce two classes of eoss with and without phase transitions each containing one million eoss we then impose constraints on the maximum mass m 216 m_odot and on the dimensionless tidal deformability tildelambda 800 deduced from gw170817 together with recent suggestions of lower limits on tildelambda exploiting more than 109 equilibrium models for each class of eoss we produce distribution functions of all the stellar properties and determine among other quantities the radius that is statistically most probable for any value of the stellar mass in this way we deduce that the radius of a purely hadronic neutron star with a representative mass of 14m_odot is constrained to be 1200r_14rm km1345 at a 2sigma confidence level with a most likely value of barr_141239rm km similarly the smallest dimensionless tidal deformability is tildelambda_14375 again at a 2sigma level on the other hand because eoss with a phase transition allow for very compact stars on the socalled twinstar branch small radii are possible with such eoss although not probable ie 853r_14rm km1374 and barr_141306rm km at a 2sigma level with tildelambda_14355 at a 3sigma level finally since these eoss exhibit upper limits on tildelambda the detection of a binary with total mass of 34m_odot and tildelambda_17461 can rule out twinstar solutions | [['we', 'explore', 'in', 'a', 'parameterized', 'manner', 'a', 'very', 'large', 'range', 'of', 'physically', 'plausible', 'equations', 'of', 'state', 'eoss', 'for', 'compact', 'stars', 'for', 'matter', 'that', 'is', 'either', 'purely', 'hadronic', 'or', 'that', 'exhibits', 'a', 'phase', 'transition', 'in', 'particular', 'we', 'produce', 'two', 'classes', 'of', 'eoss', 'with', 'and', 'without', 'phase', 'transitions', 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0.027458974844379785] |
1,803.0055 | A note on T-folds and T3 fibrations | We study stringy modifications of $T^3$-fibered manifolds, where the fiber
undergoes a monodromy in the T-duality group. We determine the fibration data
defining such T-folds from a geometric model, by using a map between the
duality group and the group of large diffeomorphisms of a four-torus. We
describe the monodromies induced around duality defects where such fibrations
degenerate and we argue that local solutions receive corrections from the
winding sector, dual to the symmetry-breaking modes that correct semi-flat
metrics.
| hep-th | we study stringy modifications of t3fibered manifolds where the fiber undergoes a monodromy in the tduality group we determine the fibration data defining such tfolds from a geometric model by using a map between the duality group and the group of large diffeomorphisms of a fourtorus we describe the monodromies induced around duality defects where such fibrations degenerate and we argue that local solutions receive corrections from the winding sector dual to the symmetrybreaking modes that correct semiflat metrics | [['we', 'study', 'stringy', 'modifications', 'of', 't3fibered', 'manifolds', 'where', 'the', 'fiber', 'undergoes', 'a', 'monodromy', 'in', 'the', 'tduality', 'group', 'we', 'determine', 'the', 'fibration', 'data', 'defining', 'such', 'tfolds', 'from', 'a', 'geometric', 'model', 'by', 'using', 'a', 'map', 'between', 'the', 'duality', 'group', 'and', 'the', 'group', 'of', 'large', 'diffeomorphisms', 'of', 'a', 'fourtorus', 'we', 'describe', 'the', 'monodromies', 'induced', 'around', 'duality', 'defects', 'where', 'such', 'fibrations', 'degenerate', 'and', 'we', 'argue', 'that', 'local', 'solutions', 'receive', 'corrections', 'from', 'the', 'winding', 'sector', 'dual', 'to', 'the', 'symmetrybreaking', 'modes', 'that', 'correct', 'semiflat', 'metrics']] | [-0.2156498555858166, 0.10444085153106314, -0.1318943478907339, 0.11127078239447795, -0.09466231398236676, -0.13760544046855125, 0.03154452348080201, 0.28673464592355186, -0.297450829595805, -0.23207647035805842, 0.10202588487523966, -0.3113876060128976, -0.21161244090240544, 0.0997597879748075, -0.12888691128971866, -0.026343940016932976, 0.0074013111611398365, 0.03730631242386806, -0.14563117665238678, -0.17434770238991731, 0.424342249149982, -0.031285052020580344, 0.2688494016392491, 0.03149422494700561, 0.14237333006876257, -0.0023983377409772053, 0.0011539631821692754, 0.0038568539819560754, -0.16714121759007236, 0.08380427763152581, 0.23774252890143543, 0.04714488999870343, 0.08716613412476502, -0.4253166759243378, -0.16399854961305094, 0.1636919253386366, 0.11267099049216948, 0.12371279344631311, -0.046534618944860995, -0.3259641768930193, 0.06390490081088128, -0.16389120885959038, -0.16863096706593075, -0.10155947661648194, -0.002900153434333893, -0.026218335911368903, -0.20965411423299557, 0.003099365680753134, 0.02666420864466673, 0.09174745314969467, -0.04408975628515085, 0.029428940409651168, -0.1311248346733359, 0.1186032149200447, 0.11500197479304355, 0.04049904357629995, 0.14727548081189012, -0.15073767641353278, -0.12022249216739184, 0.4026111139593503, -0.10722219941313736, -0.2129687621132829, 0.08862275318600811, -0.12839516212280172, -0.21687254185477892, 0.11273937894461247, 0.1254114424630713, 0.16203725952296877, -0.04378862209761372, 0.15967806679262325, -0.06116037407609371, 0.0908588123961519, 0.07966339831144954, 0.011376613595833382, 0.21166198012323525, 0.07432102285421048, 0.06790145641813676, 0.13217244202939746, -0.026229742580117323, -0.08152756699098226, -0.41661516237908447, -0.15019681953037015, -0.09353183147509415, 0.13770320731549499, -0.1313029069640787, -0.15697320299939468, 0.4193780016846573, 0.068148351363981, 0.22688880529350194, 0.055208243999797374, 0.19060295008313963, 0.044664753696475275, 0.11802502597371738, 0.06222523956183487, 0.2124404130766216, 0.16315352575381836, -0.02615255021299116, -0.22195973737428012, -0.13587193853126314, 0.19250312235015324] |
1,803.00551 | Evidence for precursors of the coronal hole jets in solar bright points | A set of 23 observations of coronal jet events that occurred in coronal
bright points has been analyzed. The focus was on the temporal evolution of the
mean brightness before and during coronal jet events. In the absolute majority
of the cases either single or recurrent coronal jets were preceded by slight
precursor disturbances observed in the mean intensity curves. The key
conclusion is that we were able to detect quasi-periodical oscillations with
characteristic periods from sub-minute up to 3-4 min values in the bright point
brightness which precede the jets. Our basic claim is that along with the
conventionally accepted scenario of bright point evolution through new magnetic
flux emergence and its reconnection with the initial structure of the bright
point and the coronal hole, certain MHD oscillatory and wave-like motions can
be excited and these can take an important place in the observed dynamics.
These quasi-oscillatory phenomena might play the role of links between
different epochs of the coronal jet ignition and evolution. They can be an
indication of the MHD wave excitation processes due to the system entropy
variations, density variations or shear flows. It is very likely a sharp
outflow velocity transverse gradients at the edges between the open and closed
field line regions. We suppose that magnetic reconnections can be the source of
MHD waves due to impulsive generation or rapid temperature variations, and
shear flow driven nonmodel MHD wave evolution (self-heating and/or
overreflection mechanisms).
| astro-ph.SR physics.plasm-ph physics.space-ph | a set of 23 observations of coronal jet events that occurred in coronal bright points has been analyzed the focus was on the temporal evolution of the mean brightness before and during coronal jet events in the absolute majority of the cases either single or recurrent coronal jets were preceded by slight precursor disturbances observed in the mean intensity curves the key conclusion is that we were able to detect quasiperiodical oscillations with characteristic periods from subminute up to 34 min values in the bright point brightness which precede the jets our basic claim is that along with the conventionally accepted scenario of bright point evolution through new magnetic flux emergence and its reconnection with the initial structure of the bright point and the coronal hole certain mhd oscillatory and wavelike motions can be excited and these can take an important place in the observed dynamics these quasioscillatory phenomena might play the role of links between different epochs of the coronal jet ignition and evolution they can be an indication of the mhd wave excitation processes due to the system entropy variations density variations or shear flows it is very likely a sharp outflow velocity transverse gradients at the edges between the open and closed field line regions we suppose that magnetic reconnections can be the source of mhd waves due to impulsive generation or rapid temperature variations and shear flow driven nonmodel mhd wave evolution selfheating andor overreflection mechanisms | [['a', 'set', 'of', '23', 'observations', 'of', 'coronal', 'jet', 'events', 'that', 'occurred', 'in', 'coronal', 'bright', 'points', 'has', 'been', 'analyzed', 'the', 'focus', 'was', 'on', 'the', 'temporal', 'evolution', 'of', 'the', 'mean', 'brightness', 'before', 'and', 'during', 'coronal', 'jet', 'events', 'in', 'the', 'absolute', 'majority', 'of', 'the', 'cases', 'either', 'single', 'or', 'recurrent', 'coronal', 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1,803.00552 | A Game Theoretic Approach to DSRC and WiFi Coexistence | We model the coexistence of DSRC and WiFi networks as a strategic form game
with the networks as the players. Nodes in a DSRC network must support
messaging of status updates that are time sensitive. Such nodes would like to
achieve a small age of information of status updates. In contrast, nodes in a
WiFi network would like to achieve large throughputs. Each network chooses a
medium access probability to be used by all its nodes. We investigate Nash and
Stackelberg equilibrium strategies.
| cs.NI cs.GT | we model the coexistence of dsrc and wifi networks as a strategic form game with the networks as the players nodes in a dsrc network must support messaging of status updates that are time sensitive such nodes would like to achieve a small age of information of status updates in contrast nodes in a wifi network would like to achieve large throughputs each network chooses a medium access probability to be used by all its nodes we investigate nash and stackelberg equilibrium strategies | [['we', 'model', 'the', 'coexistence', 'of', 'dsrc', 'and', 'wifi', 'networks', 'as', 'a', 'strategic', 'form', 'game', 'with', 'the', 'networks', 'as', 'the', 'players', 'nodes', 'in', 'a', 'dsrc', 'network', 'must', 'support', 'messaging', 'of', 'status', 'updates', 'that', 'are', 'time', 'sensitive', 'such', 'nodes', 'would', 'like', 'to', 'achieve', 'a', 'small', 'age', 'of', 'information', 'of', 'status', 'updates', 'in', 'contrast', 'nodes', 'in', 'a', 'wifi', 'network', 'would', 'like', 'to', 'achieve', 'large', 'throughputs', 'each', 'network', 'chooses', 'a', 'medium', 'access', 'probability', 'to', 'be', 'used', 'by', 'all', 'its', 'nodes', 'we', 'investigate', 'nash', 'and', 'stackelberg', 'equilibrium', 'strategies']] | [-0.23304693290896444, 0.027384063621691192, -0.04735412522701614, 0.06167961497712566, -0.07901283256507602, -0.2520154017551118, 0.1936028610875673, 0.42780145589845725, -0.26899976955435, -0.28391587845307875, 0.09060636780039598, -0.3016683891280947, -0.1645457145634545, 0.028487271233742315, -0.12029156307072704, 0.01398070476295606, 0.07859276467092695, 0.11759184441158929, 0.037921469470665575, -0.24144734126930856, 0.28559951195829963, 0.08040316156616592, 0.2831307591180351, 0.02495273846728974, 0.07136052052479193, -0.005334027319114251, 0.005892897916800645, 0.04820937335249934, -0.07609455449359719, 0.05158626319593694, 0.34506292914949266, 0.19063358872859593, 0.35916264768106393, -0.4924189536327339, -0.190872945132699, 0.16811035236859895, 0.13915740397018211, 0.08227607466459992, 0.027614803087100924, -0.2972929496991347, 0.1322231447879584, -0.2547323048249426, -0.08455342884141817, -0.055714140629328515, -0.07070820032428186, 0.11440058660704687, -0.32979716656796904, -0.06232969070145165, -0.08297773544867355, 0.014346546886197055, -0.02198819782590516, -0.07459937868617385, -0.03243355383726219, 0.2339017810692719, -0.02064685330513012, 0.011602670205364296, 0.18091393093836594, -0.16581257318247514, -0.1944449713835156, 0.3889314985598426, -0.040629568922120225, -0.12438625617917762, 0.18409845993730678, -0.02859404928286571, -0.12082413351023008, 0.058860682714057255, 0.2630314479570791, 0.06100644914612892, -0.17683316151196338, -0.019890688657087374, -0.04282026462458882, 0.168590732457408, 0.04234704206394682, 0.12111279557470277, 0.18923296252018715, 0.23706734804324356, 0.17716423587043242, 0.04454428669912404, -0.06968258149607713, -0.14516422418451094, -0.1977304795487638, -0.14262440042143845, -0.2076892321606739, 0.028819902261427367, -0.12605781253975681, -0.11147084409169045, 0.39119195216335356, 0.15879135746621045, 0.1689713291924851, 0.11198527951646282, 0.3408309847161353, -0.0152427835126284, 0.09237896245399332, 0.18369291611689043, 0.17907320554312095, 0.04383201605685235, 0.20858604719032006, -0.135384683957301, 0.18247341494782862, -0.020398135233883667] |
1,803.00553 | Low temperature magnetoresistance of (111)
(La$_{0.3}$Sr$_{0.7}$)(Al$_{0.65}$Ta$_{0.35}$)/SrTiO$_3$ | The two dimensional conducting interfaces in SrTiO$_3$-based systems are
known to show a variety of coexisting and competing phenomena in a complex
phase space. Magnetoresistance measurements, which are typically used to
extract information about the various interactions in these systems, must be
interpreted with care, since multiple interactions can contribute to the
resistivity in a given range of magnetic field and temperature. Here we review
all the phenomena that can contribute to transport in SrTiO$_3$-based
conducting interfaces at low temperatures, and discuss possible ways to
distinguish between various phenomena. We apply this analysis to the
magnetoresistance data of (111) oriented
(La$_{0.3}$Sr$_{0.7}$)(Al$_{0.65}$Ta$_{0.35}$)/STO (LSAT/STO) heterostructures
in perpendicular field, and find an excess negative magnetoresistance
contribution which cannot be explained by weak localization alone. We argue
that contributions from magnetic scattering as well as electron-electron
interactions can provide a possible explanation for the observed
magnetoresistance.
| cond-mat.mes-hall cond-mat.dis-nn | the two dimensional conducting interfaces in srtio_3based systems are known to show a variety of coexisting and competing phenomena in a complex phase space magnetoresistance measurements which are typically used to extract information about the various interactions in these systems must be interpreted with care since multiple interactions can contribute to the resistivity in a given range of magnetic field and temperature here we review all the phenomena that can contribute to transport in srtio_3based conducting interfaces at low temperatures and discuss possible ways to distinguish between various phenomena we apply this analysis to the magnetoresistance data of 111 oriented la_03sr_07al_065ta_035sto lsatsto heterostructures in perpendicular field and find an excess negative magnetoresistance contribution which cannot be explained by weak localization alone we argue that contributions from magnetic scattering as well as electronelectron interactions can provide a possible explanation for the observed magnetoresistance | [['the', 'two', 'dimensional', 'conducting', 'interfaces', 'in', 'srtio_3based', 'systems', 'are', 'known', 'to', 'show', 'a', 'variety', 'of', 'coexisting', 'and', 'competing', 'phenomena', 'in', 'a', 'complex', 'phase', 'space', 'magnetoresistance', 'measurements', 'which', 'are', 'typically', 'used', 'to', 'extract', 'information', 'about', 'the', 'various', 'interactions', 'in', 'these', 'systems', 'must', 'be', 'interpreted', 'with', 'care', 'since', 'multiple', 'interactions', 'can', 'contribute', 'to', 'the', 'resistivity', 'in', 'a', 'given', 'range', 'of', 'magnetic', 'field', 'and', 'temperature', 'here', 'we', 'review', 'all', 'the', 'phenomena', 'that', 'can', 'contribute', 'to', 'transport', 'in', 'srtio_3based', 'conducting', 'interfaces', 'at', 'low', 'temperatures', 'and', 'discuss', 'possible', 'ways', 'to', 'distinguish', 'between', 'various', 'phenomena', 'we', 'apply', 'this', 'analysis', 'to', 'the', 'magnetoresistance', 'data', 'of', '111', 'oriented', 'la_03sr_07al_065ta_035sto', 'lsatsto', 'heterostructures', 'in', 'perpendicular', 'field', 'and', 'find', 'an', 'excess', 'negative', 'magnetoresistance', 'contribution', 'which', 'can', 'not', 'be', 'explained', 'by', 'weak', 'localization', 'alone', 'we', 'argue', 'that', 'contributions', 'from', 'magnetic', 'scattering', 'as', 'well', 'as', 'electronelectron', 'interactions', 'can', 'provide', 'a', 'possible', 'explanation', 'for', 'the', 'observed', 'magnetoresistance']] | [-0.17533891806444546, 0.16515860253132136, -0.05833337475458803, 0.09719428362597016, -0.06930782517883927, -0.13362010664136056, 0.012373297986849932, 0.3865891409854234, -0.3005122507358311, -0.35661658683699937, 0.04259225156020478, -0.2901719709281141, -0.16574717520631221, 0.2326811120130489, 0.013361541359213141, -0.039145438554762324, -0.026053607818001593, -0.03296695586353783, -0.05994014373511522, -0.20645268308326706, 0.30129757783257627, -0.009869883205398547, 0.274513293874227, 0.13155786968229838, 0.031938313995979885, -0.009048320766223568, 0.06245774023798885, 0.10680025223372865, -0.1109145890484182, 0.03624595926982731, 0.3174855846282042, -0.02325046733415253, 0.16798172548124699, -0.45163082009391253, -0.24327415993279763, 0.05373185954768289, 0.16756502582862134, 0.14038837126056125, -0.06463170849429575, -0.25294315416208457, 0.04563847893002954, -0.12463650977055371, -0.09697011525703358, -0.1422712710902462, -0.024456717646156083, -0.005604365378172255, -0.2564926525138476, 0.0958048670009946, 0.03552560623436773, 0.07619540158554282, -0.08103321997684912, -0.11746292543584402, -0.027584299671424315, 0.12426559963512798, 0.0710712832359361, 0.040913771279648105, 0.13373933801047083, -0.11931108017223535, -0.15891940451659997, 0.36116325614882083, -0.05913843098916376, -0.13289171804405067, 0.2623343148996765, -0.19596386882870026, -0.09750309805910458, 0.13113869563348488, 0.21255891530735183, 0.07333782424229611, -0.20092842894160307, 0.022424520456771575, 0.030050766719898706, 0.1293209058701546, 0.01785792817007488, 0.06755637134176115, 0.29280226685526506, 0.14645031509055217, 0.002960620802158201, 0.1070921004087415, -0.10191218912417829, -0.02596131560448426, -0.251534528020707, -0.16057078967618585, -0.16020828058605385, 0.07738989578409557, -0.03535752390260467, -0.17565322010187615, 0.3447417785302067, 0.22492071154361762, 0.23695223462361265, -0.04607894872708745, 0.25642351593664836, 0.07431138334115377, 0.09834256396681385, 0.03909535680136735, 0.26996584594353024, 0.13565626798007427, 0.13804672381670122, -0.20398720399588083, 0.09216938850233777, -0.048117484041476546] |
1,803.00554 | Discontinuities in Citation Relations among Journals: Self-organized
Criticality as a Model of Scientific Revolutions and Change | Using three-year moving averages of the complete Journal Citation Reports
1994-2016 of the Science Citation Index and the Social Sciences Citation Index
(combined), we analyze links between citing and cited journals in terms of (1)
whether discontinuities among the networks of consecutive years have occurred;
(2) are these discontinuities relatively isolated or networked? (3) Can these
discontinuities be used as indicators of novelty, change, and innovation in the
sciences? We examine each of the N2 links among the N journals across the
years. We find power-laws for the top 10,000 instances of change, which we
suggest interpreting in terms of "self-organized criticality": co-evolutions of
avalanches in aggregated citation relations and meta-stable states in the
knowledge base can be expected to drive the sciences towards the edges of
chaos. The flux of journal-journal citations in new manuscripts may generate an
avalanche in the meta-stable networks, but one can expect the effects to remain
local (for example, within a specialty). The avalanches can be of any size;
they reorient the relevant citation environments by inducing a rewrite of
history in the affected partitions.
| cs.DL | using threeyear moving averages of the complete journal citation reports 19942016 of the science citation index and the social sciences citation index combined we analyze links between citing and cited journals in terms of 1 whether discontinuities among the networks of consecutive years have occurred 2 are these discontinuities relatively isolated or networked 3 can these discontinuities be used as indicators of novelty change and innovation in the sciences we examine each of the n2 links among the n journals across the years we find powerlaws for the top 10000 instances of change which we suggest interpreting in terms of selforganized criticality coevolutions of avalanches in aggregated citation relations and metastable states in the knowledge base can be expected to drive the sciences towards the edges of chaos the flux of journaljournal citations in new manuscripts may generate an avalanche in the metastable networks but one can expect the effects to remain local for example within a specialty the avalanches can be of any size they reorient the relevant citation environments by inducing a rewrite of history in the affected partitions | [['using', 'threeyear', 'moving', 'averages', 'of', 'the', 'complete', 'journal', 'citation', 'reports', '19942016', 'of', 'the', 'science', 'citation', 'index', 'and', 'the', 'social', 'sciences', 'citation', 'index', 'combined', 'we', 'analyze', 'links', 'between', 'citing', 'and', 'cited', 'journals', 'in', 'terms', 'of', '1', 'whether', 'discontinuities', 'among', 'the', 'networks', 'of', 'consecutive', 'years', 'have', 'occurred', '2', 'are', 'these', 'discontinuities', 'relatively', 'isolated', 'or', 'networked', '3', 'can', 'these', 'discontinuities', 'be', 'used', 'as', 'indicators', 'of', 'novelty', 'change', 'and', 'innovation', 'in', 'the', 'sciences', 'we', 'examine', 'each', 'of', 'the', 'n2', 'links', 'among', 'the', 'n', 'journals', 'across', 'the', 'years', 'we', 'find', 'powerlaws', 'for', 'the', 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1,803.00555 | Sequentialization for full N-Graphs via sub-N-Graphs | Since proof-nets for MLL- were introduced by Girard (1987), several studies
have appeared dealing with its soundness proof. Bellin & Van de Wiele (1995)
produced an elegant proof based on properties of subnets (empires and kingdoms)
and Robinson (2003) proposed a straightforward generalization of this
presentation for proof-nets from sequent calculus for classical logic. In 2014
it was presented an extension of these studies to obtain a proof of the
sequentialization theorem for the fragment of N-Graphs with conjunction,
disjunction and negation connectives, via the notion of sub-N-Graphs. N-Graphs
is a symmetric natural deduction calculus with multiple conclusions that adopts
Danos-Regnier's criterion and has defocussing switchable links. In this paper,
we present a sequentization for full propositional classical N-Graphs, showing
how to find a split node in the middle of the proof even with a global rule for
discharging hypothesis.
| cs.LO | since proofnets for mll were introduced by girard 1987 several studies have appeared dealing with its soundness proof bellin van de wiele 1995 produced an elegant proof based on properties of subnets empires and kingdoms and robinson 2003 proposed a straightforward generalization of this presentation for proofnets from sequent calculus for classical logic in 2014 it was presented an extension of these studies to obtain a proof of the sequentialization theorem for the fragment of ngraphs with conjunction disjunction and negation connectives via the notion of subngraphs ngraphs is a symmetric natural deduction calculus with multiple conclusions that adopts danosregniers criterion and has defocussing switchable links in this paper we present a sequentization for full propositional classical ngraphs showing how to find a split node in the middle of the proof even with a global rule for discharging hypothesis | [['since', 'proofnets', 'for', 'mll', 'were', 'introduced', 'by', 'girard', '1987', 'several', 'studies', 'have', 'appeared', 'dealing', 'with', 'its', 'soundness', 'proof', 'bellin', 'van', 'de', 'wiele', '1995', 'produced', 'an', 'elegant', 'proof', 'based', 'on', 'properties', 'of', 'subnets', 'empires', 'and', 'kingdoms', 'and', 'robinson', '2003', 'proposed', 'a', 'straightforward', 'generalization', 'of', 'this', 'presentation', 'for', 'proofnets', 'from', 'sequent', 'calculus', 'for', 'classical', 'logic', 'in', '2014', 'it', 'was', 'presented', 'an', 'extension', 'of', 'these', 'studies', 'to', 'obtain', 'a', 'proof', 'of', 'the', 'sequentialization', 'theorem', 'for', 'the', 'fragment', 'of', 'ngraphs', 'with', 'conjunction', 'disjunction', 'and', 'negation', 'connectives', 'via', 'the', 'notion', 'of', 'subngraphs', 'ngraphs', 'is', 'a', 'symmetric', 'natural', 'deduction', 'calculus', 'with', 'multiple', 'conclusions', 'that', 'adopts', 'danosregniers', 'criterion', 'and', 'has', 'defocussing', 'switchable', 'links', 'in', 'this', 'paper', 'we', 'present', 'a', 'sequentization', 'for', 'full', 'propositional', 'classical', 'ngraphs', 'showing', 'how', 'to', 'find', 'a', 'split', 'node', 'in', 'the', 'middle', 'of', 'the', 'proof', 'even', 'with', 'a', 'global', 'rule', 'for', 'discharging', 'hypothesis']] | [-0.08371159916191741, 0.01308581201139734, -0.1340074490548836, 0.09075582896238538, -0.13448250339263015, -0.16459840658224292, 0.0814792833963616, 0.3036269176061507, -0.25122230938394313, -0.2897738864507388, 0.08064204725109178, -0.21587590504851606, -0.12349468894578793, 0.17973356054129977, -0.16353724329663372, -0.0006913405398976196, 0.058219466859251646, 0.006227820728802019, -0.01784159162392219, -0.21834537513830043, 0.2716438861977723, 0.028120543470571715, 0.22515230138993098, 0.043546960749490944, 0.12317832916693684, 0.09467279165293331, -0.05186850247835671, 0.01867073479074019, -0.11759269776160147, 0.13502398256764367, 0.2651597952207171, 0.17305140849547807, 0.29629286266863347, -0.3969173857252355, -0.1136020967391906, 0.06141283703898942, 0.059018971719261674, 0.09452155939889727, -0.024035217037803872, -0.31355510883861115, 0.09450549803053339, -0.20029536057953481, -0.1076244888930685, -0.07692649234086275, 0.07884783575621744, 0.01887160645608135, -0.23925724358608325, 0.01829850101300205, 0.22772767182517176, 0.12952121975713116, -0.0255256103274102, -0.1061869047133735, 0.011231890877846767, 0.0017461691638109861, -0.027036501020538034, 0.0076383971315981064, 0.04166593233261395, -0.028973906162988255, -0.2129013039193254, 0.3003011421817872, -0.015127270758427956, -0.16989224058418553, 0.17572221125786502, -0.05052581269776932, -0.1966117870338537, 0.06729406644212928, 0.05403373763482604, 0.11725602866736827, -0.12671474591587428, 0.12925162004755328, -0.0998354926791594, 0.1665574058804109, 0.18796529411165802, 0.002967730685378666, 0.14804523483056714, 0.15246828886231892, 0.01065721540297899, 0.1637109239447724, 0.007912701930143628, -0.12398800374940037, -0.2948796824159756, -0.19881935341076717, -0.09969333833152497, 0.017294912877561592, -0.046747820775662724, -0.1791712734365353, 0.33605029739577463, 0.09555886111877583, 0.12305298091636764, 0.14611479502378238, 0.2510608491246347, 0.11619411053618899, 0.0859344421144299, 0.028228436544951465, 0.21463073610017697, 0.20524262875939409, 0.12865987390072808, -0.11932299550605455, 0.07895138077092943, 0.15247164537819724] |
1,803.00556 | Emergent gravity from relatively local Hamiltonians and a possible
resolution of the black hole information puzzle | In this paper, we study a possibility where gravity and time emerge from
quantum matter. Within the Hilbert space of matter fields defined on a spatial
manifold, we consider a sub-Hilbert space spanned by states which are
parameterized by spatial metric. In those states, metric is introduced as a
collective variable that controls local structures of entanglement. The
underlying matter fields endow the states labeled by metric with an unambiguous
inner product. Then we construct a Hamiltonian for the matter fields that is an
endomorphism of the sub-Hilbert space, thereby inducing a quantum Hamiltonian
of the metric. It is shown that there exists a matter Hamiltonian that induces
the general relativity in the semi-classical field theory limit. Although the
Hamiltonian is not local in the absolute sense, it has a weaker notion of
locality, called relative locality : the range of interactions is set by the
entanglement present in target states on which the Hamiltonian acts. In
general, normalizable states are not invariant under the transformations
generated by the Hamiltonian. As a result, a physical state spontaneously
breaks the Hamiltonian constraint, and picks a moment of time. The subsequent
flow of time can be understood as a Goldstone mode associated with the broken
symmetry. The construction allows one to study dynamics of gravity from the
perspective of matter fields. The Hawking radiation corresponds to a unitary
evolution where entanglement across horizon is gradually transferred from color
degrees of freedom to singlet degrees of freedom. The underlying quantum states
remain pure as evaporating black holes keep entanglement with early Hawking
radiations in the singlet sector which is not captured by the
Bekenstein-Hawking entropy.
| hep-th gr-qc | in this paper we study a possibility where gravity and time emerge from quantum matter within the hilbert space of matter fields defined on a spatial manifold we consider a subhilbert space spanned by states which are parameterized by spatial metric in those states metric is introduced as a collective variable that controls local structures of entanglement the underlying matter fields endow the states labeled by metric with an unambiguous inner product then we construct a hamiltonian for the matter fields that is an endomorphism of the subhilbert space thereby inducing a quantum hamiltonian of the metric it is shown that there exists a matter hamiltonian that induces the general relativity in the semiclassical field theory limit although the hamiltonian is not local in the absolute sense it has a weaker notion of locality called relative locality the range of interactions is set by the entanglement present in target states on which the hamiltonian acts in general normalizable states are not invariant under the transformations generated by the hamiltonian as a result a physical state spontaneously breaks the hamiltonian constraint and picks a moment of time the subsequent flow of time can be understood as a goldstone mode associated with the broken symmetry the construction allows one to study dynamics of gravity from the perspective of matter fields the hawking radiation corresponds to a unitary evolution where entanglement across horizon is gradually transferred from color degrees of freedom to singlet degrees of freedom the underlying quantum states remain pure as evaporating black holes keep entanglement with early hawking radiations in the singlet sector which is not captured by the bekensteinhawking entropy | [['in', 'this', 'paper', 'we', 'study', 'a', 'possibility', 'where', 'gravity', 'and', 'time', 'emerge', 'from', 'quantum', 'matter', 'within', 'the', 'hilbert', 'space', 'of', 'matter', 'fields', 'defined', 'on', 'a', 'spatial', 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1,803.00557 | The 2018 DAVIS Challenge on Video Object Segmentation | We present the 2018 DAVIS Challenge on Video Object Segmentation, a public
competition specifically designed for the task of video object segmentation. It
builds upon the DAVIS 2017 dataset, which was presented in the previous edition
of the DAVIS Challenge, and added 100 videos with multiple objects per sequence
to the original DAVIS 2016 dataset. Motivated by the analysis of the results of
the 2017 edition, the main track of the competition will be the same than in
the previous edition (segmentation given the full mask of the objects in the
first frame -- semi-supervised scenario). This edition, however, also adds an
interactive segmentation teaser track, where the participants will interact
with a web service simulating the input of a human that provides scribbles to
iteratively improve the result.
| cs.CV | we present the 2018 davis challenge on video object segmentation a public competition specifically designed for the task of video object segmentation it builds upon the davis 2017 dataset which was presented in the previous edition of the davis challenge and added 100 videos with multiple objects per sequence to the original davis 2016 dataset motivated by the analysis of the results of the 2017 edition the main track of the competition will be the same than in the previous edition segmentation given the full mask of the objects in the first frame semisupervised scenario this edition however also adds an interactive segmentation teaser track where the participants will interact with a web service simulating the input of a human that provides scribbles to iteratively improve the result | [['we', 'present', 'the', '2018', 'davis', 'challenge', 'on', 'video', 'object', 'segmentation', 'a', 'public', 'competition', 'specifically', 'designed', 'for', 'the', 'task', 'of', 'video', 'object', 'segmentation', 'it', 'builds', 'upon', 'the', 'davis', '2017', 'dataset', 'which', 'was', 'presented', 'in', 'the', 'previous', 'edition', 'of', 'the', 'davis', 'challenge', 'and', 'added', '100', 'videos', 'with', 'multiple', 'objects', 'per', 'sequence', 'to', 'the', 'original', 'davis', '2016', 'dataset', 'motivated', 'by', 'the', 'analysis', 'of', 'the', 'results', 'of', 'the', '2017', 'edition', 'the', 'main', 'track', 'of', 'the', 'competition', 'will', 'be', 'the', 'same', 'than', 'in', 'the', 'previous', 'edition', 'segmentation', 'given', 'the', 'full', 'mask', 'of', 'the', 'objects', 'in', 'the', 'first', 'frame', 'semisupervised', 'scenario', 'this', 'edition', 'however', 'also', 'adds', 'an', 'interactive', 'segmentation', 'teaser', 'track', 'where', 'the', 'participants', 'will', 'interact', 'with', 'a', 'web', 'service', 'simulating', 'the', 'input', 'of', 'a', 'human', 'that', 'provides', 'scribbles', 'to', 'iteratively', 'improve', 'the', 'result']] | [-0.05730477671204426, 0.003522950167393901, -0.07125148918703417, 0.0026091466252182727, -0.10707717120749294, -0.08084823301396682, 0.026076393248331442, 0.3438017786538694, -0.2002260694425786, -0.43500512385799084, 0.08078287495027325, -0.3056861502409447, -0.12182409514207393, 0.1868731127215142, -0.19618064921087353, 0.025172667166771134, 0.16435638784969342, 0.06234686599782435, 0.04005908296312555, -0.37218379419937264, 0.2719331266962399, 0.09279176928248489, 0.3065376222948544, 0.01987261580870836, 0.1239721330221073, 0.02172213622907293, -0.13895100812078454, -0.06329336082308146, -0.07597869713782757, 0.15806877417708165, 0.28775470501204836, 0.15558750929994858, 0.30228103380068205, -0.36949991778055846, -0.16948447501999908, 0.028764187115484674, 0.09139708987640915, 0.11061684853484621, -0.04564011299680715, -0.4133273436600575, 0.07550035495660268, -0.18792167295305262, -0.0013996757843415253, 0.007308513639145531, 0.04623561888001859, -0.021054499045021657, -0.2367274058633484, 0.03734812939887888, 0.10353575192857534, 0.04194996513615479, -0.10108154713361728, -0.08161055940581718, 0.006373421732860152, 0.2253793745130679, -0.007761792796372902, 0.1274031324828684, 0.1187442561467833, -0.18459087606424873, -0.15594248685101775, 0.40268482266401406, -0.05014328608251617, -0.11874165347762755, 0.20616746075393166, -0.06528335041275568, -0.17553535971819656, 0.0887928864267451, 0.2100700175651582, 0.12803268288553227, -0.1644221220703912, 0.01471899617854433, -0.09151697082415922, 0.2094587609753944, 0.07459551973443013, -0.10641202566694119, 0.16854443196280045, 0.2584970637776678, 0.037307938199319324, 0.152097522071017, -0.133090626595731, -0.051353302547795465, -0.2643452625602549, -0.12905428779049544, -0.1783670120566967, -0.07651381439882243, -0.030162146060206396, -0.11113923711309326, 0.3981607192690717, 0.22920270419854205, 0.18832564011609065, 0.03680223765422852, 0.3247361808462301, -0.01517897420853842, 0.0656295232197408, 0.06102259260978826, 0.1926556561193138, -0.02731051730188483, 0.19893376621985226, -0.12491002356546232, 0.06407295676399372, 0.13727058870426845] |
1,803.00558 | VLSI Design of a 3-bit Constant-Modulus Precoder for Massive MU-MIMO | Fifth-generation (5G) cellular systems will build on massive multi-user (MU)
multiple-input multiple-output (MIMO) technology to attain high spectral
efficiency. However, having hundreds of antennas and radio-frequency (RF)
chains at the base station (BS) entails prohibitively high hardware costs and
power consumption. This paper proposes a novel nonlinear precoding algorithm
for the massive MU-MIMO downlink in which each RF chain contains an 8-phase
(3-bit) constant-modulus transmitter, enabling the use of low-cost and
power-efficient analog hardware. We present a high-throughput VLSI architecture
and show implementation results on a Xilinx Virtex-7 FPGA. Compared to a
recently-reported nonlinear precoder for BS designs that use two 1-bit
digital-to-analog converters per RF chain, our design enables up to 3.75 dB
transmit power reduction at no more than a 2.7x increase in FPGA resources.
| eess.SP cs.IT math.IT | fifthgeneration 5g cellular systems will build on massive multiuser mu multipleinput multipleoutput mimo technology to attain high spectral efficiency however having hundreds of antennas and radiofrequency rf chains at the base station bs entails prohibitively high hardware costs and power consumption this paper proposes a novel nonlinear precoding algorithm for the massive mumimo downlink in which each rf chain contains an 8phase 3bit constantmodulus transmitter enabling the use of lowcost and powerefficient analog hardware we present a highthroughput vlsi architecture and show implementation results on a xilinx virtex7 fpga compared to a recentlyreported nonlinear precoder for bs designs that use two 1bit digitaltoanalog converters per rf chain our design enables up to 375 db transmit power reduction at no more than a 27x increase in fpga resources | [['fifthgeneration', '5g', 'cellular', 'systems', 'will', 'build', 'on', 'massive', 'multiuser', 'mu', 'multipleinput', 'multipleoutput', 'mimo', 'technology', 'to', 'attain', 'high', 'spectral', 'efficiency', 'however', 'having', 'hundreds', 'of', 'antennas', 'and', 'radiofrequency', 'rf', 'chains', 'at', 'the', 'base', 'station', 'bs', 'entails', 'prohibitively', 'high', 'hardware', 'costs', 'and', 'power', 'consumption', 'this', 'paper', 'proposes', 'a', 'novel', 'nonlinear', 'precoding', 'algorithm', 'for', 'the', 'massive', 'mumimo', 'downlink', 'in', 'which', 'each', 'rf', 'chain', 'contains', 'an', '8phase', '3bit', 'constantmodulus', 'transmitter', 'enabling', 'the', 'use', 'of', 'lowcost', 'and', 'powerefficient', 'analog', 'hardware', 'we', 'present', 'a', 'highthroughput', 'vlsi', 'architecture', 'and', 'show', 'implementation', 'results', 'on', 'a', 'xilinx', 'virtex7', 'fpga', 'compared', 'to', 'a', 'recentlyreported', 'nonlinear', 'precoder', 'for', 'bs', 'designs', 'that', 'use', 'two', '1bit', 'digitaltoanalog', 'converters', 'per', 'rf', 'chain', 'our', 'design', 'enables', 'up', 'to', '375', 'db', 'transmit', 'power', 'reduction', 'at', 'no', 'more', 'than', 'a', '27x', 'increase', 'in', 'fpga', 'resources']] | [-0.3184074562085452, 0.02106068072628529, 0.09216630306198365, -0.0743110157218614, -0.10573160904829228, -0.33734865574949674, 0.11662400731103613, 0.4026866202697247, -0.1719336649402976, -0.278734664915112, 0.08623271839996238, -0.2233043485505891, -0.1772670656339162, 0.2098460418434577, -0.1384643985342885, 0.07696463031664727, 0.09366188111848064, -0.02456872352945899, -0.06168614464002617, -0.22865272447141627, 0.14779145453524375, 0.20393278190518715, 0.42209615049484583, -0.06152220643199389, 0.14789405134728267, -0.038513129843132834, 0.030135953298119442, -0.18150568078641618, -0.02525227403644489, 0.11947051037309898, 0.4083049811408042, 0.21715342119661352, 0.3084892907904254, -0.47268344402786283, -0.21930780823505114, 0.08649243885422096, 0.1884260823486358, 0.021182636917930923, -0.08083733429890662, -0.18952474622647203, 0.1963327675836072, -0.3466560653676944, -0.014847632057757841, 0.011709819039900876, -0.1262253395887831, 0.06072489893902832, -0.3718185352516316, -0.05968948744703084, -0.045152959128216257, 0.06275991188909208, 0.010785504854062484, -0.17831099663846314, 0.08253808405124656, 0.043155962797177455, -0.09676545870948643, 0.003195762505850917, 0.12857288218635535, -0.038726142428155676, -0.11833237936256381, 0.33405454755235936, 0.029311515783890157, -0.2307405377265125, 0.1753600779883859, -0.07409469816937214, -0.13929214900117443, 0.2021914466343347, 0.307945822324929, -0.0051199411890203396, -0.18828705466160225, 0.04356418598798059, 0.10729743603114335, 0.2747402593183021, 0.11590898921158874, 0.16998036492833987, 0.17623870783773737, 0.29754807604920297, 0.16713913287671786, 0.16464798474159564, -0.15859965090445863, -0.05111520699713202, -0.14472138633607842, -0.1480035327027537, -0.22306200846408805, 0.06355677647811789, -0.09685495753157218, -0.05010144673435697, 0.33739641183129854, 0.14911599437077494, 0.021317197819746704, 0.17382347076809743, 0.5046017012144957, 0.09952508961404896, 0.14624147320402756, 0.1413068291380085, 0.1261376835558737, 0.13028794942453267, 0.23514155422647795, -0.2348386288291612, -0.09077255729408491, -0.06636067388194894] |
1,803.00559 | Coupling of phonons with orbital dynamics and magnetism in CuSb$_2$O$_6$ | Strongly interacting phonons and orbital excitations are observed in the same
energy range for CuSb$_2$O$_6$, unlocking a so-far unexplored type of
electron-phonon interaction. An orbital wave at $\sim 550$ cm$^{-1}$ softens on
warming and strongly interferes with a phonon at $\sim 500$ cm$^{-1}$, giving
rise to a merged excitation of mixed character. An electronic continuum grows
on warming to the orbital ordering temperature $T_{OO}$=400 K, generating an
important phonon decay channel. This direct and simultaneous observation of
orbital and vibrational excitations reveals details of their combined dynamics.
In addition, phonon frequency anomalies due to magnetic correlations are
observed below $\sim 150$ K, much above the three-dimensional magnetic ordering
temperature $T_N^{3D}=8.5$ K, confirming one-dimensional magnetic correlations
along Cu-O-O-Cu linear chains in the paramagnetic state.
| cond-mat.str-el | strongly interacting phonons and orbital excitations are observed in the same energy range for cusb_2o_6 unlocking a sofar unexplored type of electronphonon interaction an orbital wave at sim 550 cm1 softens on warming and strongly interferes with a phonon at sim 500 cm1 giving rise to a merged excitation of mixed character an electronic continuum grows on warming to the orbital ordering temperature t_oo400 k generating an important phonon decay channel this direct and simultaneous observation of orbital and vibrational excitations reveals details of their combined dynamics in addition phonon frequency anomalies due to magnetic correlations are observed below sim 150 k much above the threedimensional magnetic ordering temperature t_n3d85 k confirming onedimensional magnetic correlations along cuoocu linear chains in the paramagnetic state | [['strongly', 'interacting', 'phonons', 'and', 'orbital', 'excitations', 'are', 'observed', 'in', 'the', 'same', 'energy', 'range', 'for', 'cusb_2o_6', 'unlocking', 'a', 'sofar', 'unexplored', 'type', 'of', 'electronphonon', 'interaction', 'an', 'orbital', 'wave', 'at', 'sim', '550', 'cm1', 'softens', 'on', 'warming', 'and', 'strongly', 'interferes', 'with', 'a', 'phonon', 'at', 'sim', '500', 'cm1', 'giving', 'rise', 'to', 'a', 'merged', 'excitation', 'of', 'mixed', 'character', 'an', 'electronic', 'continuum', 'grows', 'on', 'warming', 'to', 'the', 'orbital', 'ordering', 'temperature', 't_oo400', 'k', 'generating', 'an', 'important', 'phonon', 'decay', 'channel', 'this', 'direct', 'and', 'simultaneous', 'observation', 'of', 'orbital', 'and', 'vibrational', 'excitations', 'reveals', 'details', 'of', 'their', 'combined', 'dynamics', 'in', 'addition', 'phonon', 'frequency', 'anomalies', 'due', 'to', 'magnetic', 'correlations', 'are', 'observed', 'below', 'sim', '150', 'k', 'much', 'above', 'the', 'threedimensional', 'magnetic', 'ordering', 'temperature', 't_n3d85', 'k', 'confirming', 'onedimensional', 'magnetic', 'correlations', 'along', 'cuoocu', 'linear', 'chains', 'in', 'the', 'paramagnetic', 'state']] | [-0.21296845164400438, 0.303212132323861, -0.011820916642098367, 0.030911047055636447, -0.08508341194780059, -0.10248842097949941, 0.08523256095329754, 0.3861687820123023, -0.2827730525535445, -0.2719964644081202, -0.006402854593431561, -0.3557770365850116, 0.006199536123117353, 0.16550118168581182, 0.1263354506280993, -0.04666397220478589, -0.0043957560037521, 0.017957980791498133, -0.079539108817943, -0.1401891390119969, 0.19102794538396842, 0.08720649709189389, 0.26898839631501364, 0.1129680117670478, 0.041980199327989784, 0.022838348415171524, 0.09410256002990514, -0.061608819345779275, -0.16151023444821352, 0.027885919153111196, 0.2669750061869316, -0.0907922520560502, 0.2035860272687899, -0.3832450487157878, -0.21223964393451936, -0.0009992805822212406, 0.18291445460538341, 0.11745884607960823, 0.018755198673525153, -0.2698481284207156, -0.0027524898094790323, -0.12296532988186315, -0.14002768211692823, -0.09756998383604429, 0.026568512596628246, -0.047881531183100214, -0.244732038470126, 0.1732085895384153, 0.06621079653390965, 0.17234617259799495, -0.15199273220114723, -0.16310016343667477, -0.09729346522998784, 0.0026079425118675755, 0.06773945104385562, 0.06317801523499754, 0.15660254185835384, -0.06948112439121581, -0.06893111223808858, 0.35502844998033856, -0.08635147183374384, 0.010214803654293553, 0.22117152137089005, -0.18996800986674278, -0.07232375582582277, 0.2934211802320602, 0.13272971418557078, 0.06128154305287269, -0.10679972300035957, 0.02723625905130904, 0.038622234212435165, 0.23713515920563555, 0.06095232799680544, 0.154401209156475, 0.278127979268046, 0.14792921760769076, 0.0401526603127728, 0.09940060931688346, -0.1383909152805054, -0.04914345612608585, -0.20931829030022903, -0.09167213288200393, -0.19677359086437887, 0.08745713746837955, -0.052524291446770954, -0.13328701698763235, 0.41780761768650104, 0.12094693426228668, 0.22564844087454952, -0.021486518401730836, 0.21714090087114513, 0.11836379679201656, 0.051389161424961784, 0.07533966013066032, 0.2622626111177461, 0.22993062765282743, 0.12223238263380941, -0.34918357070316286, 0.02069519308372205, -0.05783814906745272] |
1,803.0056 | RELICS: Strong-lensing analysis of the massive clusters MACS
J0308.9+2645 and PLCK G171.9-40.7 | Strong gravitational lensing by galaxy clusters has become a powerful tool
for probing the high-redshift Universe, magnifying distant and faint background
galaxies. Reliable strong lensing (SL) models are crucial for determining the
intrinsic properties of distant, magnified sources and for constructing their
luminosity function. We present here the first SL analysis of MACS J0308.9+2645
and PLCK G171.9-40.7, two massive galaxy clusters imaged with the Hubble Space
Telescope in the framework of the Reionization Lensing Cluster Survey (RELICS).
We use the Light-Traces-Mass modeling technique to uncover sets of multiply
imaged galaxies and constrain the mass distribution of the clusters. Our SL
analysis reveals that both clusters have particularly large Einstein radii
($\theta_E>30"$ for a source redshift of $z_s=2$), providing fairly large areas
with high magnifications, useful for high-redshift galaxy searches ($\sim2$
arcmin$^{2}$ with $\mu>5$ to $\sim1$ arcmin$^{2}$ with $\mu>10$, similar to a
typical \textit{Hubble Frontier Fields} cluster). We also find that MACS
J0308.9+2645 hosts a promising, apparently bright (J$\sim23.2-24.6$ AB),
multiply imaged high-redshift candidate at $z\sim6.4$. These images are amongst
the brightest high-redshift candidates found in RELICS. Our mass models,
including magnification maps, are made publicly available for the community
through the Mikulski Archive for Space Telescopes.
| astro-ph.CO | strong gravitational lensing by galaxy clusters has become a powerful tool for probing the highredshift universe magnifying distant and faint background galaxies reliable strong lensing sl models are crucial for determining the intrinsic properties of distant magnified sources and for constructing their luminosity function we present here the first sl analysis of macs j030892645 and plck g1719407 two massive galaxy clusters imaged with the hubble space telescope in the framework of the reionization lensing cluster survey relics we use the lighttracesmass modeling technique to uncover sets of multiply imaged galaxies and constrain the mass distribution of the clusters our sl analysis reveals that both clusters have particularly large einstein radii theta_e30 for a source redshift of z_s2 providing fairly large areas with high magnifications useful for highredshift galaxy searches sim2 arcmin2 with mu5 to sim1 arcmin2 with mu10 similar to a typical textithubble frontier fields cluster we also find that macs j030892645 hosts a promising apparently bright jsim232246 ab multiply imaged highredshift candidate at zsim64 these images are amongst the brightest highredshift candidates found in relics our mass models including magnification maps are made publicly available for the community through the mikulski archive for space telescopes | [['strong', 'gravitational', 'lensing', 'by', 'galaxy', 'clusters', 'has', 'become', 'a', 'powerful', 'tool', 'for', 'probing', 'the', 'highredshift', 'universe', 'magnifying', 'distant', 'and', 'faint', 'background', 'galaxies', 'reliable', 'strong', 'lensing', 'sl', 'models', 'are', 'crucial', 'for', 'determining', 'the', 'intrinsic', 'properties', 'of', 'distant', 'magnified', 'sources', 'and', 'for', 'constructing', 'their', 'luminosity', 'function', 'we', 'present', 'here', 'the', 'first', 'sl', 'analysis', 'of', 'macs', 'j030892645', 'and', 'plck', 'g1719407', 'two', 'massive', 'galaxy', 'clusters', 'imaged', 'with', 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1,803.00561 | Initial conditions and degrees of freedom of non-local gravity | We prove the equivalence between non-local gravity with an arbitrary form
factor and a non-local gravitational system with an extra rank-2 symmetric
tensor. Thanks to this reformulation, we use the diffusion-equation method to
transform the dynamics of renormalizable non-local gravity with exponential
operators into a higher-dimensional system local in spacetime coordinates. This
method, first illustrated with a scalar field theory and then applied to
gravity, allows one to solve the Cauchy problem and count the number of initial
conditions and of non-perturbative degrees of freedom, which is finite. In
particular, the non-local scalar and gravitational theories with exponential
operators are characterized by, respectively, two and four initial conditions
in any dimension and, respectively, by one and eight degrees of freedom in four
dimensions. The fully covariant equations of motion are written in a form
convenient to find analytic non-perturbative solutions.
| hep-th gr-qc math-ph math.MP | we prove the equivalence between nonlocal gravity with an arbitrary form factor and a nonlocal gravitational system with an extra rank2 symmetric tensor thanks to this reformulation we use the diffusionequation method to transform the dynamics of renormalizable nonlocal gravity with exponential operators into a higherdimensional system local in spacetime coordinates this method first illustrated with a scalar field theory and then applied to gravity allows one to solve the cauchy problem and count the number of initial conditions and of nonperturbative degrees of freedom which is finite in particular the nonlocal scalar and gravitational theories with exponential operators are characterized by respectively two and four initial conditions in any dimension and respectively by one and eight degrees of freedom in four dimensions the fully covariant equations of motion are written in a form convenient to find analytic nonperturbative solutions | [['we', 'prove', 'the', 'equivalence', 'between', 'nonlocal', 'gravity', 'with', 'an', 'arbitrary', 'form', 'factor', 'and', 'a', 'nonlocal', 'gravitational', 'system', 'with', 'an', 'extra', 'rank2', 'symmetric', 'tensor', 'thanks', 'to', 'this', 'reformulation', 'we', 'use', 'the', 'diffusionequation', 'method', 'to', 'transform', 'the', 'dynamics', 'of', 'renormalizable', 'nonlocal', 'gravity', 'with', 'exponential', 'operators', 'into', 'a', 'higherdimensional', 'system', 'local', 'in', 'spacetime', 'coordinates', 'this', 'method', 'first', 'illustrated', 'with', 'a', 'scalar', 'field', 'theory', 'and', 'then', 'applied', 'to', 'gravity', 'allows', 'one', 'to', 'solve', 'the', 'cauchy', 'problem', 'and', 'count', 'the', 'number', 'of', 'initial', 'conditions', 'and', 'of', 'nonperturbative', 'degrees', 'of', 'freedom', 'which', 'is', 'finite', 'in', 'particular', 'the', 'nonlocal', 'scalar', 'and', 'gravitational', 'theories', 'with', 'exponential', 'operators', 'are', 'characterized', 'by', 'respectively', 'two', 'and', 'four', 'initial', 'conditions', 'in', 'any', 'dimension', 'and', 'respectively', 'by', 'one', 'and', 'eight', 'degrees', 'of', 'freedom', 'in', 'four', 'dimensions', 'the', 'fully', 'covariant', 'equations', 'of', 'motion', 'are', 'written', 'in', 'a', 'form', 'convenient', 'to', 'find', 'analytic', 'nonperturbative', 'solutions']] | [-0.16075847474456156, 0.12182400667920153, -0.09811955313164768, 0.049369841970657434, -0.07254151354389761, -0.16367275822947888, -0.06624500404142192, 0.2804936243341767, -0.23050609666505734, -0.2852279108433093, 0.07768517346272125, -0.243371623134506, -0.16202159850060832, 0.12614987382544673, -0.0067625812006940084, 0.05056256716049162, -0.008758637499694022, 0.048443650454952775, -0.11184680005602485, -0.265888816764136, 0.37392454216819554, -0.029218273833662056, 0.200196063635107, 0.02417560679027342, 0.15978112193025487, 0.006194656569068487, -0.027593632172558644, 0.04987621092297834, -0.09450035080440986, 0.1315924128033422, 0.19100080092484467, 0.09397548478659537, 0.24286086948106078, -0.4474784246237158, -0.2149793803691864, 0.08714808390656714, 0.1152431045142974, 0.1457047879138104, -0.0032713686504649174, -0.30736178312477447, 0.04532811930738122, -0.18225368707970108, -0.1903368679257177, -0.10821080812514364, 0.02450906007346302, -0.04244402468392103, -0.3005811796463329, 0.09371154603762753, 0.015160453586216024, 0.028675459787624775, -0.08632818606837901, -0.06057137746544783, -0.011391244252487052, 0.06556025732613484, 0.06798863435070292, 0.017444404321153174, 0.053076336679564746, -0.1439293537443008, -0.10773998647157719, 0.37023738278210055, -0.11074285763282356, -0.3212140152823823, 0.1712509137109297, -0.14866513433269887, -0.11418226193100643, 0.09520604716707691, 0.1451518926032477, 0.16759993737603693, -0.1884924250071962, 0.1403013985074735, 0.00699644391056445, 0.1436886555614057, 0.10421740099546506, 0.06224928623427161, 0.19395219619392598, 0.06272155464385643, 0.08224237794324542, 0.1616336958710667, 0.016367066892788565, -0.13692849775334057, -0.37956019603519986, -0.14904257069549542, -0.1177073955509088, 0.07444148624764768, -0.14422013674839232, -0.16596404613806404, 0.38854318446808045, 0.11071252355707152, 0.13362122109375907, 0.043743113116964216, 0.2487461243977221, 0.1355599453605765, 0.06974073659784409, 0.0838563678162834, 0.21387401365226122, 0.1932299033832475, 0.06118139105751816, -0.2269903416678363, -0.0864236220590127, 0.1462627984181368] |
1,803.00562 | Photogalvanic Effect in Weyl Semimetals from First Principles | Using first-principles calculations, we investigate the photogalvanic effect
in the Weyl semimetal material TaAs. We find colossal photocurrents caused by
the Weyl points in the band structuure in a wide range of laser frequency. Our
calculations reveal that the photocurrent is predominantly contributed by the
three-band transition from the occupied Weyl band to the empty Weyl band via an
intermediate band away from the Weyl cone, for excitations both by linearly and
circularly polarized lights. Therefore, it is significant to sum over all
three-band transitions by considering a full set of Bloch bands (both Weyl
bands and trivial bands) in the first-principles band structure while it does
not suffice to only consider the two-band direct transition within a Weyl cone.
Calculated photoconductivities are well consistent with recent experiment
measurements. Our work provides the first first-principles calculation on
nonlinear optical phenomena of Weyl semimetals and serves as a deep
understanding of the photogalvanic effects in complexed materials.
| cond-mat.str-el cond-mat.mes-hall | using firstprinciples calculations we investigate the photogalvanic effect in the weyl semimetal material taas we find colossal photocurrents caused by the weyl points in the band structuure in a wide range of laser frequency our calculations reveal that the photocurrent is predominantly contributed by the threeband transition from the occupied weyl band to the empty weyl band via an intermediate band away from the weyl cone for excitations both by linearly and circularly polarized lights therefore it is significant to sum over all threeband transitions by considering a full set of bloch bands both weyl bands and trivial bands in the firstprinciples band structure while it does not suffice to only consider the twoband direct transition within a weyl cone calculated photoconductivities are well consistent with recent experiment measurements our work provides the first firstprinciples calculation on nonlinear optical phenomena of weyl semimetals and serves as a deep understanding of the photogalvanic effects in complexed materials | [['using', 'firstprinciples', 'calculations', 'we', 'investigate', 'the', 'photogalvanic', 'effect', 'in', 'the', 'weyl', 'semimetal', 'material', 'taas', 'we', 'find', 'colossal', 'photocurrents', 'caused', 'by', 'the', 'weyl', 'points', 'in', 'the', 'band', 'structuure', 'in', 'a', 'wide', 'range', 'of', 'laser', 'frequency', 'our', 'calculations', 'reveal', 'that', 'the', 'photocurrent', 'is', 'predominantly', 'contributed', 'by', 'the', 'threeband', 'transition', 'from', 'the', 'occupied', 'weyl', 'band', 'to', 'the', 'empty', 'weyl', 'band', 'via', 'an', 'intermediate', 'band', 'away', 'from', 'the', 'weyl', 'cone', 'for', 'excitations', 'both', 'by', 'linearly', 'and', 'circularly', 'polarized', 'lights', 'therefore', 'it', 'is', 'significant', 'to', 'sum', 'over', 'all', 'threeband', 'transitions', 'by', 'considering', 'a', 'full', 'set', 'of', 'bloch', 'bands', 'both', 'weyl', 'bands', 'and', 'trivial', 'bands', 'in', 'the', 'firstprinciples', 'band', 'structure', 'while', 'it', 'does', 'not', 'suffice', 'to', 'only', 'consider', 'the', 'twoband', 'direct', 'transition', 'within', 'a', 'weyl', 'cone', 'calculated', 'photoconductivities', 'are', 'well', 'consistent', 'with', 'recent', 'experiment', 'measurements', 'our', 'work', 'provides', 'the', 'first', 'firstprinciples', 'calculation', 'on', 'nonlinear', 'optical', 'phenomena', 'of', 'weyl', 'semimetals', 'and', 'serves', 'as', 'a', 'deep', 'understanding', 'of', 'the', 'photogalvanic', 'effects', 'in', 'complexed', 'materials']] | [-0.17826155429197985, 0.1537494099089103, -0.024876638941539377, -0.011412616970332025, -0.10487030019874793, -0.1396343519657173, 0.14983557275943943, 0.40764774997754916, -0.2773793705878175, -0.26232840723430667, -0.02301512979796495, -0.34217912246860177, -0.18989072569537085, 0.17038669984775606, 0.05320152911726482, 0.0024486775479775355, -0.015000429282618034, -0.10651365400128696, -0.1217270629683074, -0.16222932212622254, 0.3212626146352185, 0.041512489746522774, 0.31368169431610926, 0.06929514568915905, 0.02134006416769819, 0.03771596757525748, 0.05919413025454654, 0.035164636692830493, -0.11360353358074238, 0.03387411184119085, 0.28404825805934364, -0.12072950906978992, 0.19096314441866252, -0.44119678066995044, -0.2454024288280226, -0.015024193638161598, 0.11142352641433138, 0.14213591788187865, -0.0707084153780363, -0.3269349407017618, 0.0510561478478447, -0.1399490392809226, -0.09149674104538734, -0.09491759745703478, -0.04263093665109149, -0.06399196215834191, -0.1786464708150431, 0.06977222799950933, 0.0005683156626915874, 0.07032210641801766, -0.1186955656528219, -0.12768270963706174, -0.13021978127842695, 0.05132252352868582, 0.04879536454840987, 0.007991207466466812, 0.08674122503801406, -0.07827054924791219, -0.14687528372772474, 0.45541536020623014, -0.08522874988047044, -0.06898600329923166, 0.12795886295158174, -0.22045584429876028, -0.04908088100892673, 0.18892152692106637, 0.1116571467004674, 0.12093687942251563, -0.10483108329028798, 0.11573049059483924, -0.059958347293069016, 0.1043262606072421, -0.003912006808723045, 0.08858877232800201, 0.30283150073842374, 0.14145314054224978, 0.0329440585125915, 0.07135353126417991, -0.15200681438784466, 0.001956376662876989, -0.29964854787769063, -0.16007119419004817, -0.2887735807453282, 0.05052442572772421, -0.013350030068930256, -0.19482626627463365, 0.48385061938073726, 0.09471409339699652, 0.16764977991326965, -0.024209379865606496, 0.24047265548633967, 0.12040573428923569, 0.09777953739084497, 0.05593414490062792, 0.3137611902225158, 0.14638939470675616, 0.08060997918735004, -0.2549807963796057, 0.0035404704016778472, 0.019159101170499796] |
1,803.00563 | Two chemically similar stellar overdensities on opposite sides of the
plane of the Galaxy | Our Galaxy is thought to have undergone an active evolutionary history
dominated by star formation, the accretion of cold gas, and, in particular,
mergers up to 10 gigayear ago. The stellar halo reveals rich fossil evidence of
these interactions in the form of stellar streams, substructures, and
chemically distinct stellar components. The impact of dwarf galaxy mergers on
the content and morphology of the Galactic disk is still being explored. Recent
studies have identified kinematically distinct stellar substructures and moving
groups, which may have extragalactic origin. However, there is mounting
evidence that stellar overdensities at the outer disk/halo interface could have
been caused by the interaction of a dwarf galaxy with the disk. Here we report
detailed spectroscopic analysis of 14 stars drawn from two stellar
overdensities, each lying about 5 kiloparsecs above and below the Galactic
plane - locations suggestive of association with the stellar halo. However, we
find that the chemical compositions of these stars are almost identical, both
within and between these groups, and closely match the abundance patterns of
the Milky Way disk stars. This study hence provides compelling evidence that
these stars originate from the disk and the overdensities they are part of were
created by tidal interactions of the disk with passing or merging dwarf
galaxies.
| astro-ph.GA | our galaxy is thought to have undergone an active evolutionary history dominated by star formation the accretion of cold gas and in particular mergers up to 10 gigayear ago the stellar halo reveals rich fossil evidence of these interactions in the form of stellar streams substructures and chemically distinct stellar components the impact of dwarf galaxy mergers on the content and morphology of the galactic disk is still being explored recent studies have identified kinematically distinct stellar substructures and moving groups which may have extragalactic origin however there is mounting evidence that stellar overdensities at the outer diskhalo interface could have been caused by the interaction of a dwarf galaxy with the disk here we report detailed spectroscopic analysis of 14 stars drawn from two stellar overdensities each lying about 5 kiloparsecs above and below the galactic plane locations suggestive of association with the stellar halo however we find that the chemical compositions of these stars are almost identical both within and between these groups and closely match the abundance patterns of the milky way disk stars this study hence provides compelling evidence that these stars originate from the disk and the overdensities they are part of were created by tidal interactions of the disk with passing or merging dwarf galaxies | [['our', 'galaxy', 'is', 'thought', 'to', 'have', 'undergone', 'an', 'active', 'evolutionary', 'history', 'dominated', 'by', 'star', 'formation', 'the', 'accretion', 'of', 'cold', 'gas', 'and', 'in', 'particular', 'mergers', 'up', 'to', '10', 'gigayear', 'ago', 'the', 'stellar', 'halo', 'reveals', 'rich', 'fossil', 'evidence', 'of', 'these', 'interactions', 'in', 'the', 'form', 'of', 'stellar', 'streams', 'substructures', 'and', 'chemically', 'distinct', 'stellar', 'components', 'the', 'impact', 'of', 'dwarf', 'galaxy', 'mergers', 'on', 'the', 'content', 'and', 'morphology', 'of', 'the', 'galactic', 'disk', 'is', 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1,803.00564 | Conductance relaxation in GeBiTe - slow thermalization in an open
quantum system | This work describes the microstructure and transport properties of GeBiTe
films with emphasis on their out-of-equilibrium behavior.
Persistent-photoconductivity (PPC), previously studied in the phase-change
compound GeSbTe is also quite prominent in this system. Much weaker PPC
response is observed in the pure GeTe compound and when alloying GeTe with
either In or Mn. Films made from these compounds share the same
crystallographic structure, the same p-type conductivity, a similar
compositional disorder extending over mesoscopic scales, and similar mosaic
morphology. The enhanced PPC response exhibited by the Sb and Bi alloys may
therefore be related to their common chemistry. PPC is observable in GeBiTe
films at the entire range of sheet resistances studied in this work. The excess
conductance produced by a brief exposure to infrared illumination decays with
time as a stretched-exponential (Kohlrausch law). Intrinsic electron-glass
effects on the other hand, are observable in thin films of GeBiTe only for
samples that are strongly-localized just like it was noted with the seven
electron-glasses previously studied. These include a memory-dip which is the
defining attribute of the phenomenon. The memory-dip in GeBiTe is the widest
among the germanium-telluride alloys studied to date consistent with the high
carrier-concentration of this compound. The thermalization process exhibited in
either, the PPC-state or in the electron-glass regime is sluggish but the
temporal law of the relaxation from the out-of-equilibrium state is distinctly
different. Coexistence of the two phenomena give rise to some non-trivial
effects, in particular, the visibility of the memory-dip is enhanced in the
PPC-state. The relation between this effect and the dependence of the
memory-effect magnitude on the ratio between the interparticle-interaction and
quench-disorder is discussed.
| cond-mat.mtrl-sci cond-mat.dis-nn cond-mat.str-el | this work describes the microstructure and transport properties of gebite films with emphasis on their outofequilibrium behavior persistentphotoconductivity ppc previously studied in the phasechange compound gesbte is also quite prominent in this system much weaker ppc response is observed in the pure gete compound and when alloying gete with either in or mn films made from these compounds share the same crystallographic structure the same ptype conductivity a similar compositional disorder extending over mesoscopic scales and similar mosaic morphology the enhanced ppc response exhibited by the sb and bi alloys may therefore be related to their common chemistry ppc is observable in gebite films at the entire range of sheet resistances studied in this work the excess conductance produced by a brief exposure to infrared illumination decays with time as a stretchedexponential kohlrausch law intrinsic electronglass effects on the other hand are observable in thin films of gebite only for samples that are stronglylocalized just like it was noted with the seven electronglasses previously studied these include a memorydip which is the defining attribute of the phenomenon the memorydip in gebite is the widest among the germaniumtelluride alloys studied to date consistent with the high carrierconcentration of this compound the thermalization process exhibited in either the ppcstate or in the electronglass regime is sluggish but the temporal law of the relaxation from the outofequilibrium state is distinctly different coexistence of the two phenomena give rise to some nontrivial effects in particular the visibility of the memorydip is enhanced in the ppcstate the relation between this effect and the dependence of the memoryeffect magnitude on the ratio between the interparticleinteraction and quenchdisorder is discussed | [['this', 'work', 'describes', 'the', 'microstructure', 'and', 'transport', 'properties', 'of', 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1,803.00565 | Exact solution of the Schr\"odinger equation for a short-range
exponential potential with inverse square root singularity | We introduce an exactly integrable singular potential for which the solution
of the one-dimensional stationary Schr\"odinger equation is written through
irreducible linear combinations of the Gauss hypergeometric functions. The
potential, which belongs to a general Heun family, is a short-range one that
behaves as the inverse square root in the vicinity of the origin and vanishes
exponentially at the infinity. We derive the exact spectrum equation for the
energy and discuss the bound states supported by the potential.
| quant-ph | we introduce an exactly integrable singular potential for which the solution of the onedimensional stationary schrodinger equation is written through irreducible linear combinations of the gauss hypergeometric functions the potential which belongs to a general heun family is a shortrange one that behaves as the inverse square root in the vicinity of the origin and vanishes exponentially at the infinity we derive the exact spectrum equation for the energy and discuss the bound states supported by the potential | [['we', 'introduce', 'an', 'exactly', 'integrable', 'singular', 'potential', 'for', 'which', 'the', 'solution', 'of', 'the', 'onedimensional', 'stationary', 'schrodinger', 'equation', 'is', 'written', 'through', 'irreducible', 'linear', 'combinations', 'of', 'the', 'gauss', 'hypergeometric', 'functions', 'the', 'potential', 'which', 'belongs', 'to', 'a', 'general', 'heun', 'family', 'is', 'a', 'shortrange', 'one', 'that', 'behaves', 'as', 'the', 'inverse', 'square', 'root', 'in', 'the', 'vicinity', 'of', 'the', 'origin', 'and', 'vanishes', 'exponentially', 'at', 'the', 'infinity', 'we', 'derive', 'the', 'exact', 'spectrum', 'equation', 'for', 'the', 'energy', 'and', 'discuss', 'the', 'bound', 'states', 'supported', 'by', 'the', 'potential']] | [-0.15498430714106712, 0.07954413769337594, -0.06806186428412986, 0.08486705498757939, -0.06663092765479516, -0.15839157179475594, -0.024351745294645812, 0.25924519633348936, -0.3077121084908215, -0.16723310954582232, 0.10063991522959743, -0.345686517500629, -0.16205122145131612, 0.1613957098691175, 0.058795845112166345, 0.06032121958784186, 0.011673303953825664, 0.10334314250697692, -0.11940274138349849, -0.2204443113729119, 0.36388447287325293, 0.012924850488511415, 0.21605558712513018, 0.06195513665592537, 0.13365450668975543, 0.013275417358948825, 0.07710146756681542, -0.05455655347890197, -0.14875612573040342, 0.06771127240454707, 0.2203585472292243, 0.05595889059492411, 0.2711338135055624, -0.36389983146905136, -0.18460970264501297, 0.14481978030063403, 0.17020956171192944, 0.08979698053847712, -0.03126009281438131, -0.2686155987784075, 0.031976127811970234, -0.14691801333370116, -0.3032013764097475, -0.045963069065832175, 0.03492898225951462, 0.08315918685343021, -0.24771545342623424, 0.12556139659136534, 0.057641393039375544, -0.016196842185961895, -0.11157324114957681, -0.12988590699089214, -0.012121794470705284, 0.060930123595962636, 0.036107397894972026, 0.03298948386994501, 0.05657967324488056, -0.12347350434925503, -0.05430940705208251, 0.3650721383739251, -0.11002595259402043, -0.28011548646892875, 0.11751583772592056, -0.13171437633065627, -0.08590091432695492, 0.12654616124927998, 0.1445120185470352, 0.10824019392618002, -0.14445535505477053, 0.18731054751865137, -0.03304480515324917, 0.10943684691096095, 0.08776522275263396, 0.008176220220495732, 0.18570032338492382, 0.07345810099146687, 0.08491572036216848, 0.20075056849954984, -0.037273002854094676, -0.1356129734776914, -0.3837714221041936, -0.17417728507709213, -0.23413057815643976, 0.11450029006944253, -0.0948846684138213, -0.2331021451809181, 0.4553647127527839, 0.0740841591778474, 0.16190905968109384, 0.09679977672520834, 0.20966926933481142, 0.26100779294770643, 0.03327586393779478, 0.07806736996206336, 0.18505256640939757, 0.13795482087880373, 0.06034754840836216, -0.2370575645413154, -0.01861901746656841, 0.134661588507394] |
1,803.00566 | The Inception of Star Cluster Formation Revealed by [CII] Emission
Around an Infrared Dark Cloud | We present SOFIA-upGREAT observations of [CII] emission of Infrared Dark
Cloud (IRDC) G035.39-00.33, designed to trace its atomic gas envelope and thus
test models of the origins of such clouds. Several velocity components of [CII]
emission are detected, tracing structures that are at a wide range of distances
in the Galactic plane. We find a main component that is likely associated with
the IRDC and its immediate surroundings. This strongest emission component has
a velocity similar to that of the $^{13}$CO(2-1) emission of the IRDC, but
offset by $\sim3\:{\rm km\:s}^{-1}$ and with a larger velocity width of
$\sim9\:{\rm km\:s}^{-1}$. The spatial distribution of the [CII] emission of
this component is also offset predominantly to one side of the dense
filamentary structure of the IRDC. The CII column density is estimated to be of
the order of $\sim10^{17}-10^{18}\,{\rm cm}^{-2}$. We compare these results to
the [CII] emission from numerical simulations of magnetized, dense gas
filaments formed from giant molecular cloud (GMC) collisions, finding similar
spatial and kinematic offsets. These observations and modeling of [CII] add
further to the evidence that IRDC G035.39-00.33 has been formed by a process of
GMC-GMC collision, which may thus be an important mechanism for initiating star
cluster formation.
| astro-ph.GA astro-ph.SR | we present sofiaupgreat observations of cii emission of infrared dark cloud irdc g035390033 designed to trace its atomic gas envelope and thus test models of the origins of such clouds several velocity components of cii emission are detected tracing structures that are at a wide range of distances in the galactic plane we find a main component that is likely associated with the irdc and its immediate surroundings this strongest emission component has a velocity similar to that of the 13co21 emission of the irdc but offset by sim3rm kms1 and with a larger velocity width of sim9rm kms1 the spatial distribution of the cii emission of this component is also offset predominantly to one side of the dense filamentary structure of the irdc the cii column density is estimated to be of the order of sim10171018rm cm2 we compare these results to the cii emission from numerical simulations of magnetized dense gas filaments formed from giant molecular cloud gmc collisions finding similar spatial and kinematic offsets these observations and modeling of cii add further to the evidence that irdc g035390033 has been formed by a process of gmcgmc collision which may thus be an important mechanism for initiating star cluster formation | [['we', 'present', 'sofiaupgreat', 'observations', 'of', 'cii', 'emission', 'of', 'infrared', 'dark', 'cloud', 'irdc', 'g035390033', 'designed', 'to', 'trace', 'its', 'atomic', 'gas', 'envelope', 'and', 'thus', 'test', 'models', 'of', 'the', 'origins', 'of', 'such', 'clouds', 'several', 'velocity', 'components', 'of', 'cii', 'emission', 'are', 'detected', 'tracing', 'structures', 'that', 'are', 'at', 'a', 'wide', 'range', 'of', 'distances', 'in', 'the', 'galactic', 'plane', 'we', 'find', 'a', 'main', 'component', 'that', 'is', 'likely', 'associated', 'with', 'the', 'irdc', 'and', 'its', 'immediate', 'surroundings', 'this', 'strongest', 'emission', 'component', 'has', 'a', 'velocity', 'similar', 'to', 'that', 'of', 'the', 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