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1,802.0936 | A surge of light at the birth of a supernova | It is difficult to establish the properties of massive stars that explode as
supernovae. The electromagnetic emission during the first minutes to hours
after the emergence of the shock from the stellar surface conveys important
information about the final evolution and structure of the exploding star.
However, the unpredictable nature of supernova events hinders the detection of
this brief initial phase. Here we report the serendipitous discovery of a newly
born, normal type IIb supernova (SN 2016gkg), which reveals a rapid brightening
at optical wavelengths of about 40 magnitudes per day. The very frequent
sampling of the observations allowed us to study in detail the outermost
structure of the progenitor of the supernova and the physics of the emergence
of the shock. We develop hydrodynamical models of the explosion that naturally
account for the complete evolution of the supernova over distinct phases
regulated by different physical processes. This result suggests that it is
appropriate to decouple the treatment of the shock propagation from the unknown
mechanism that triggers the explosion.
| astro-ph.HE astro-ph.SR | it is difficult to establish the properties of massive stars that explode as supernovae the electromagnetic emission during the first minutes to hours after the emergence of the shock from the stellar surface conveys important information about the final evolution and structure of the exploding star however the unpredictable nature of supernova events hinders the detection of this brief initial phase here we report the serendipitous discovery of a newly born normal type iib supernova sn 2016gkg which reveals a rapid brightening at optical wavelengths of about 40 magnitudes per day the very frequent sampling of the observations allowed us to study in detail the outermost structure of the progenitor of the supernova and the physics of the emergence of the shock we develop hydrodynamical models of the explosion that naturally account for the complete evolution of the supernova over distinct phases regulated by different physical processes this result suggests that it is appropriate to decouple the treatment of the shock propagation from the unknown mechanism that triggers the explosion | [['it', 'is', 'difficult', 'to', 'establish', 'the', 'properties', 'of', 'massive', 'stars', 'that', 'explode', 'as', 'supernovae', 'the', 'electromagnetic', 'emission', 'during', 'the', 'first', 'minutes', 'to', 'hours', 'after', 'the', 'emergence', 'of', 'the', 'shock', 'from', 'the', 'stellar', 'surface', 'conveys', 'important', 'information', 'about', 'the', 'final', 'evolution', 'and', 'structure', 'of', 'the', 'exploding', 'star', 'however', 'the', 'unpredictable', 'nature', 'of', 'supernova', 'events', 'hinders', 'the', 'detection', 'of', 'this', 'brief', 'initial', 'phase', 'here', 'we', 'report', 'the', 'serendipitous', 'discovery', 'of', 'a', 'newly', 'born', 'normal', 'type', 'iib', 'supernova', 'sn', '2016gkg', 'which', 'reveals', 'a', 'rapid', 'brightening', 'at', 'optical', 'wavelengths', 'of', 'about', '40', 'magnitudes', 'per', 'day', 'the', 'very', 'frequent', 'sampling', 'of', 'the', 'observations', 'allowed', 'us', 'to', 'study', 'in', 'detail', 'the', 'outermost', 'structure', 'of', 'the', 'progenitor', 'of', 'the', 'supernova', 'and', 'the', 'physics', 'of', 'the', 'emergence', 'of', 'the', 'shock', 'we', 'develop', 'hydrodynamical', 'models', 'of', 'the', 'explosion', 'that', 'naturally', 'account', 'for', 'the', 'complete', 'evolution', 'of', 'the', 'supernova', 'over', 'distinct', 'phases', 'regulated', 'by', 'different', 'physical', 'processes', 'this', 'result', 'suggests', 'that', 'it', 'is', 'appropriate', 'to', 'decouple', 'the', 'treatment', 'of', 'the', 'shock', 'propagation', 'from', 'the', 'unknown', 'mechanism', 'that', 'triggers', 'the', 'explosion']] | [-0.09190362056936412, 0.12643097384476706, -0.07069408433950122, 0.10710741269730908, -0.12935745505177798, -0.047012570312054934, 0.09239397854270304, 0.3524534025133642, -0.24292652075288487, -0.3142498882870902, 0.09663144393390907, -0.24878497078795644, -0.09975840907872599, 0.1623852664933485, -0.002048306184973198, -0.06772467827095704, 0.13425108206403605, -0.013654784135082188, -0.10103364819934701, -0.2607136466129519, 0.3309130826334962, 0.09574040568926755, 0.21080516680582043, -0.003729722836493131, 0.09672638682566365, -0.04887028058497783, -0.0735202836269951, -0.09104093373479212, -0.12813813449221712, 0.05418960234451601, 0.1733726828084507, 0.18531398383544428, 0.23665511133423184, -0.4591095611014787, -0.27060908298008146, 0.06517649247749326, 0.1766527418862097, 0.10807328827692853, -0.04984989337732687, -0.27254110344630833, 0.05109196241725893, -0.18590465796536162, -0.1706757379723165, 0.07327232267707587, 0.0458928646547172, 0.02230885285021299, -0.20961135860176427, 0.12773097848642948, 0.054806130808805496, 0.025929551452453084, -0.09052087372333249, -0.03104301131987835, -0.04392162394874236, 0.10073966346133281, 0.08280699721140349, 0.014107415929902344, 0.10052319033369285, -0.16206703919177765, -0.03770035588737194, 0.41597078265622256, -0.01459367856492891, 0.03314791013870169, 0.22575503834317823, -0.18901326662496157, -0.13723410717485582, 0.21416741495897226, 0.16820435063803899, 0.1048688400618951, -0.16960668111808927, -0.042855214059818535, 0.021144304161562637, 0.1320590239004506, 0.029675434416105203, 0.06614456728788996, 0.28181268683744265, 0.21073011500377428, -0.012493478649241083, 0.10585433178279988, -0.18117574002895065, -0.06309711474322659, -0.32126895649468196, -0.1183699337327305, -0.12272313387297532, 0.12436156954397173, -0.11934440036018393, -0.16944732159814413, 0.40834748356685263, 0.161547688659801, 0.1879137663430918, -0.045597127281978504, 0.2617241540567621, 0.05435125476831351, 0.07467948564821307, 0.08634862073779326, 0.30568251479417086, 0.16269248883541235, 0.15955821604618584, -0.2544193153570899, 0.11746095995528295, 0.03091381386415485] |
1,802.09361 | Feedforward Control of Magnetically Levitated Planar Actuators | The present report summarizes the work conducted during the internship on
Feedforward Control of the Magnetic Levitation Setup. Different feedforward
strategies, specifically tailored for this setup, are developed and reviewed.
These feedforward methods explicitly take the intrinsic position-dependent
behavior of the magnetic levitation setup into account. Additionally,
closed-loop stability of the given setup is assessed. All investigations are
carried out under the rigid-body assumption of the structure. Analysis and
simulation show the potential performance improvement obtained with such
feedforward strategies.
| cs.SY | the present report summarizes the work conducted during the internship on feedforward control of the magnetic levitation setup different feedforward strategies specifically tailored for this setup are developed and reviewed these feedforward methods explicitly take the intrinsic positiondependent behavior of the magnetic levitation setup into account additionally closedloop stability of the given setup is assessed all investigations are carried out under the rigidbody assumption of the structure analysis and simulation show the potential performance improvement obtained with such feedforward strategies | [['the', 'present', 'report', 'summarizes', 'the', 'work', 'conducted', 'during', 'the', 'internship', 'on', 'feedforward', 'control', 'of', 'the', 'magnetic', 'levitation', 'setup', 'different', 'feedforward', 'strategies', 'specifically', 'tailored', 'for', 'this', 'setup', 'are', 'developed', 'and', 'reviewed', 'these', 'feedforward', 'methods', 'explicitly', 'take', 'the', 'intrinsic', 'positiondependent', 'behavior', 'of', 'the', 'magnetic', 'levitation', 'setup', 'into', 'account', 'additionally', 'closedloop', 'stability', 'of', 'the', 'given', 'setup', 'is', 'assessed', 'all', 'investigations', 'are', 'carried', 'out', 'under', 'the', 'rigidbody', 'assumption', 'of', 'the', 'structure', 'analysis', 'and', 'simulation', 'show', 'the', 'potential', 'performance', 'improvement', 'obtained', 'with', 'such', 'feedforward', 'strategies']] | [-0.12289241765392944, 0.06076537365261174, -0.06867082339012995, 0.018173368682619186, -0.04460323961102404, -0.1642619867809117, 0.05582167562970426, 0.4380376717075706, -0.2211832015484106, -0.3169552378123626, 0.0777250106097199, -0.1727939011674607, -0.2025639249011874, 0.2387212448520586, -0.023809477960458025, 0.10613868366926908, 0.11867474139435216, -0.011550218152115122, -0.04613352623709943, -0.26173399334948044, 0.298610513767926, 0.08021231536986306, 0.36163146861363205, 0.006623726567340782, 0.12800828098552303, 0.0021930675269686618, -0.07460907254717312, 0.018636707839323207, -0.13441305637243203, 0.06932171937410203, 0.1888809634023346, 0.08327853124937974, 0.27870890036865603, -0.5021797785768285, -0.24231283602093753, 0.07541807723464444, 0.08136867881985381, 0.09777728983317502, -0.06996879864746006, -0.302056023851037, 0.07710167500626994, -0.1428009037510492, -0.08104254812933505, -0.13147603642428293, -0.08022663024021312, 0.026529661714448594, -0.261407820237946, -0.00847100189421326, 0.08496206040435936, 0.10130540500395, -0.09678844545996981, -0.14119720892049373, 0.02477102991542779, 0.15772884770995005, 0.0206683791911928, -0.03685575501294806, 0.20629763852630276, -0.08856057814846281, -0.1342840176388563, 0.3342704932205379, -0.024034882491105237, -0.19007387766614556, 0.11721385533746798, -0.08841810030280613, -0.11753623149706982, 0.09599447313230484, 0.18948567694751545, 0.10606324067339301, -0.19307990175511805, 0.021369499182037545, -0.003623053664341569, 0.14474307834752836, 0.009714167719357647, 0.011108065256848931, 0.17543511494004632, 0.25537439169711434, 0.0012080399239494, 0.19345918866965803, -0.1016533238638658, -0.1278134899737779, -0.31721539271529764, -0.07390349499182776, -0.0883445954779745, 0.00014782362995902076, -0.024834710126378924, -0.09949418340111152, 0.3983522407244891, 0.19171740174060686, 0.1367637881252449, 0.044228512147674336, 0.36712120415177196, 0.06452490657975432, 0.04886739121284336, 0.018409409053856508, 0.3173053430800792, 0.10678439363837242, 0.1485465492180083, -0.30247723728534764, 0.07658025044074748, 0.02326255844673142] |
1,802.09362 | The Maximal Negative Ion of the Time-Dependent Thomas-Fermi and the
Vlasov Atom | We show an atom of atomic number $Z$ described by the time-dependent
Thomas-Fermi equation or the Vlasov equation cannot bind more than $4Z$
electrons.
| math-ph math.MP | we show an atom of atomic number z described by the timedependent thomasfermi equation or the vlasov equation cannot bind more than 4z electrons | [['we', 'show', 'an', 'atom', 'of', 'atomic', 'number', 'z', 'described', 'by', 'the', 'timedependent', 'thomasfermi', 'equation', 'or', 'the', 'vlasov', 'equation', 'can', 'not', 'bind', 'more', 'than', '4z', 'electrons']] | [-0.09739725535269826, 0.22257470267417376, -0.02723860092461109, 0.11912320651113988, -0.006704210117459297, -0.22441901661455632, -0.0034984599053859713, 0.30910409018397333, -0.2359035247564316, -0.2899758654087782, -0.159136197459884, -0.3252090086042881, -0.007646472724154592, 0.17525307758711278, 0.07341780938208103, -0.012355318069458008, 0.022406552731990815, 0.006063100695610046, -0.04915737845003605, -0.25820723682641983, 0.2604261965304613, 0.02555064894258976, 0.15653197895735502, 0.0010963371582329274, 0.041163161396980286, 0.010384435541927814, 0.05081548202782869, 0.01381935253739357, -0.1267740424722433, 0.021703239679336548, 0.16281963793793694, 0.030526821929961444, 0.2954861456155777, -0.5643035697937012, -0.23377235673367977, 0.055296640954911706, 0.2857539495080709, 0.18566942498087882, -0.04336368530348409, -0.3401982125639915, -0.019895012229681014, -0.20007521795108915, -0.2213515275157988, -0.11358295861631632, -0.018248272985219957, 0.12373170271515846, -0.2221171067841351, 0.14881174422800542, 0.047454642746597525, -0.03931860264390707, -0.125514642521739, -0.10814528182148933, -0.0585534943267703, -0.08891338390298188, -0.03326715126633644, 0.06303381907753647, 0.18120086887851358, -0.14885771192610264, -0.007958070244640111, 0.4539195254445076, -0.10831751047924626, -0.2664598370715976, 0.13854262754321098, -0.18715466754510998, -0.03166985407471657, 0.15461559042334558, 0.05776257250458002, 0.1289944240450859, -0.1786344450339675, 0.10182437915384071, -0.07806847896426916, 0.26341911815106867, 0.10174714963883162, -0.0359660742431879, 0.10929929248988629, 0.11533126518130303, 0.04324925936758518, 0.05202407732605934, -0.03680257834494114, -0.07532134314998984, -0.26091699823737147, -0.17594641916453838, -0.247187384031713, 0.13839074530696963, -0.038607526123523715, -0.13916572019457818, 0.26659268539398906, 0.10507792068645358, 0.1170994383096695, -0.052086847685277465, 0.24462158873677253, 0.2563650979474187, -0.008148363791406155, 0.11308261498808861, 0.1676924747042358, 0.16479081437923015, 0.036973444148898124, -0.24492773845791815, -0.00953918470069766, 0.1486226359754801] |
1,802.09363 | Indentation of a two-dimensional bonded elastic layer with surface
tension | Surface tension is a prominent factor for the deformation of solids at
micro-/nano-scale. This paper investigates the effects of surface tension on
the two-dimensional contact problems of an elastic layer bonded to the rigid
substrate. Under the plane strain assumption, the elastic field induced by a
uniformly distributed pressure within a finite width is formulated by applying
the Fourier integral transform, and the limiting process leading to the
solutions for a line force brings the requisite surface Greens function. For
the indentation of an elastic layer by a rigid cylinder, the corresponding
singular integral equation is derived, and subsequently solved by using an
effective numerical method based on Gauss-Chebyshev quadrature formula. It is
found from the theoretical and numerical results that the existence of surface
tension strongly enhances the hardness of the elastic layer and significantly
affects the distribution of contact pressure, when the size of contact region
is comparable to the elastocapillary length. In addition, an approximated
relationship between external load and half-width of contact is generalized in
an explicit and concise form, which is useful and convenient for practical
applications.
| cond-mat.soft cond-mat.mtrl-sci | surface tension is a prominent factor for the deformation of solids at micronanoscale this paper investigates the effects of surface tension on the twodimensional contact problems of an elastic layer bonded to the rigid substrate under the plane strain assumption the elastic field induced by a uniformly distributed pressure within a finite width is formulated by applying the fourier integral transform and the limiting process leading to the solutions for a line force brings the requisite surface greens function for the indentation of an elastic layer by a rigid cylinder the corresponding singular integral equation is derived and subsequently solved by using an effective numerical method based on gausschebyshev quadrature formula it is found from the theoretical and numerical results that the existence of surface tension strongly enhances the hardness of the elastic layer and significantly affects the distribution of contact pressure when the size of contact region is comparable to the elastocapillary length in addition an approximated relationship between external load and halfwidth of contact is generalized in an explicit and concise form which is useful and convenient for practical applications | [['surface', 'tension', 'is', 'a', 'prominent', 'factor', 'for', 'the', 'deformation', 'of', 'solids', 'at', 'micronanoscale', 'this', 'paper', 'investigates', 'the', 'effects', 'of', 'surface', 'tension', 'on', 'the', 'twodimensional', 'contact', 'problems', 'of', 'an', 'elastic', 'layer', 'bonded', 'to', 'the', 'rigid', 'substrate', 'under', 'the', 'plane', 'strain', 'assumption', 'the', 'elastic', 'field', 'induced', 'by', 'a', 'uniformly', 'distributed', 'pressure', 'within', 'a', 'finite', 'width', 'is', 'formulated', 'by', 'applying', 'the', 'fourier', 'integral', 'transform', 'and', 'the', 'limiting', 'process', 'leading', 'to', 'the', 'solutions', 'for', 'a', 'line', 'force', 'brings', 'the', 'requisite', 'surface', 'greens', 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1,802.09364 | Distributions of countable models of disjoint unions of Ehrenfeucht
theories | We describe Rudin-Keisler preorders and distribution functions of numbers of
limit models for disjoint unions of Ehrenfeucht theories. Decomposition
formulas for these distributions are found.
| math.LO | we describe rudinkeisler preorders and distribution functions of numbers of limit models for disjoint unions of ehrenfeucht theories decomposition formulas for these distributions are found | [['we', 'describe', 'rudinkeisler', 'preorders', 'and', 'distribution', 'functions', 'of', 'numbers', 'of', 'limit', 'models', 'for', 'disjoint', 'unions', 'of', 'ehrenfeucht', 'theories', 'decomposition', 'formulas', 'for', 'these', 'distributions', 'are', 'found']] | [-0.15820161908864974, 0.15457529310137033, -0.09638788819313049, 0.19420006901025771, 0.01550737425684929, -0.08408792886883021, 0.02126207321882248, 0.3540342637896538, -0.28641385078430176, -0.26984502229839563, 0.05623495725914836, -0.2757272818684578, -0.04974885568022728, 0.19746952649205923, -0.05811716779775452, 0.08028468575328589, 0.050049664173275235, -0.07282805971801282, -0.06361086878925562, -0.2216188970580697, 0.35625449925661085, -0.13867717280983924, 0.30273220971226694, 0.016941854134202003, 0.04598812639713287, 0.013992118537425996, -0.0336649895273149, 0.05321631625294685, -0.22419814709573985, 0.12112508922815322, 0.2846359916655638, 0.2528968966007233, 0.16715629769489168, -0.4128333029150963, -0.1326598564442247, 0.16331835493445396, 0.1443490300141275, 0.00032844752073287966, 0.12165839206427335, -0.2330512660369277, 0.077534264549613, -0.18909715056419374, -0.11557015329599381, -0.16267443522810937, 0.13152163619175553, 0.16793552547693252, -0.2725369429588318, 0.015531074600294232, 0.11386074259877205, 0.11469898449257016, -0.08499127943068743, -0.2289087015390396, -0.0400973305106163, 0.08857650995254517, 9.742937982082367e-06, -0.12304185645654797, 0.026752757970243693, -0.12720547553151845, -0.18320257261395453, 0.3202666869387031, -0.01470532877370715, -0.2536163861304522, 0.14981695473194123, -0.17435847579094116, -0.23522425247356296, 0.06836593493819237, 0.10773846685886383, 0.19663091102615, -0.06781169526278973, 0.14425662994151936, -0.10715183489024639, 0.03791505217552185, 0.17098129068501294, 0.07553652964532376, 0.217096830829978, 0.029011153425381055, -0.008144484981894493, 0.19666747838258744, 0.041468355357646945, -0.1140097191510722, -0.33639355838298796, -0.0888632045686245, -0.05757700084708631, 0.0011807435844093561, -0.14096226105408277, -0.2588779006898403, 0.31484962794929744, 0.10005241622217, 0.14674246415495873, 0.2482719951495528, 0.17481967266649007, 0.11878938227891922, 0.057856576964259145, 0.0510466518253088, 0.07931283913552761, 0.24047256290912628, -0.09918004687875509, -0.03204972244799137, 0.04254188073799014, 0.20367080524563788] |
1,802.09365 | Large-N_c sum rules for charmed baryons at subleading orders | Sum rules for the low-energy constants of the chiral SU(3) Lagrangian with
charmed baryons of spin J^P=1/2^+ and J^P=3/2^+ baryons are derived from
large-N_c QCD. We consider the large-$N_c$ operator expansion at subleading
orders for current-current correlation functions in the charmed baryon-ground
states for two scalar and two axial-vector currents.
| hep-ph | sum rules for the lowenergy constants of the chiral su3 lagrangian with charmed baryons of spin jp12 and jp32 baryons are derived from largen_c qcd we consider the largen_c operator expansion at subleading orders for currentcurrent correlation functions in the charmed baryonground states for two scalar and two axialvector currents | [['sum', 'rules', 'for', 'the', 'lowenergy', 'constants', 'of', 'the', 'chiral', 'su3', 'lagrangian', 'with', 'charmed', 'baryons', 'of', 'spin', 'jp12', 'and', 'jp32', 'baryons', 'are', 'derived', 'from', 'largen_c', 'qcd', 'we', 'consider', 'the', 'largen_c', 'operator', 'expansion', 'at', 'subleading', 'orders', 'for', 'currentcurrent', 'correlation', 'functions', 'in', 'the', 'charmed', 'baryonground', 'states', 'for', 'two', 'scalar', 'and', 'two', 'axialvector', 'currents']] | [-0.16521231845325354, 0.3059476159170878, -0.022213123178071514, 0.2007750187411296, -0.037509050942501246, -0.0822628991184186, 0.047623694042808244, 0.3184506394045085, -0.12258183545604044, -0.1151402512071084, -0.0914396303064399, -0.43709721705135035, 0.02475247816277706, -0.04874459812797758, 0.24005927647254904, 0.130415774140583, -0.023616815817409327, 0.060751185125234176, -0.08259983159297583, -0.1854084483110251, 0.3917486087172007, -0.19363307132271632, 0.1730414373724132, 0.22759408541783996, 0.02966287378601882, 0.0016883758504932023, 0.014031404600839834, -0.11608711189153242, -0.09995414993288565, 0.07361503891357012, 0.24271713725614305, -0.015155385818560513, 0.04210607082183872, -0.40123443257975944, -0.09430706759496611, 0.06592435507597971, 0.19951220770005365, 0.16854262094450545, 0.08627550474995253, -0.3402170445865058, 0.10377207325239267, -0.24486999510198224, -0.19969665015838584, -0.23982394693837483, -0.03793239007152769, -0.047049630556863786, -0.3673505865949757, 0.20889283628298008, -0.1048272259685458, 0.036815359820231645, -0.042747902470089645, -0.3508751872090661, -0.055426900541143756, 0.008870555144943754, 0.16987799462263606, 0.09161841783824624, 0.11728900641545045, -0.23557150035108232, -0.23951831271952703, 0.3996356458270124, -0.09513441169140291, -0.20184381125608877, -0.006068163651174733, -0.1598827129381956, -0.2034402666138295, 0.05074093680904836, 0.12836465942768419, 0.08432681088772964, -0.21828876827292296, 0.11051878180801489, -0.05792142777722709, 0.09722475165605773, 0.12337737037249062, 0.16610330172187213, 0.26576998704398164, 0.06095276474572566, -0.044528884433057844, 0.059379229930286506, 0.0384568788149223, -0.15781780214486074, -0.433570105658502, -0.02293334827207181, -0.1339427430980972, 0.09300824589267069, -0.14707942946507518, -0.08170966985540426, 0.4127598603313066, 0.00383782632915037, 0.19022242540591017, 0.052217864707036286, 0.31500877071248023, 0.12201024116758181, 0.07769267567034278, 0.11820827584181513, 0.3117949264171552, 0.33330269752317393, 0.12431544955933885, -0.3793857382867029, -0.15252916526277455, 0.21822121412474282] |
1,802.09366 | Dynamical structure of Carrollian Electrodynamics | We present an action of ultra-relativistic electrodynamics on a flat Carroll
manifold. The model exhibits a couple of physical degrees of freedom per
space-point. We observe that the action of the conformal Carroll algebra on the
phase space is Hamiltonian in 4 space-time dimensions. Moreover the elements of
the algebra give rise to an infinite number of conserved charges and the charge
algebra is an exact realization of the kinematical algebra.
| hep-th | we present an action of ultrarelativistic electrodynamics on a flat carroll manifold the model exhibits a couple of physical degrees of freedom per spacepoint we observe that the action of the conformal carroll algebra on the phase space is hamiltonian in 4 spacetime dimensions moreover the elements of the algebra give rise to an infinite number of conserved charges and the charge algebra is an exact realization of the kinematical algebra | [['we', 'present', 'an', 'action', 'of', 'ultrarelativistic', 'electrodynamics', 'on', 'a', 'flat', 'carroll', 'manifold', 'the', 'model', 'exhibits', 'a', 'couple', 'of', 'physical', 'degrees', 'of', 'freedom', 'per', 'spacepoint', 'we', 'observe', 'that', 'the', 'action', 'of', 'the', 'conformal', 'carroll', 'algebra', 'on', 'the', 'phase', 'space', 'is', 'hamiltonian', 'in', '4', 'spacetime', 'dimensions', 'moreover', 'the', 'elements', 'of', 'the', 'algebra', 'give', 'rise', 'to', 'an', 'infinite', 'number', 'of', 'conserved', 'charges', 'and', 'the', 'charge', 'algebra', 'is', 'an', 'exact', 'realization', 'of', 'the', 'kinematical', 'algebra']] | [-0.2232505090954438, 0.1710891603337663, -0.09171984534920521, -0.008170033500096957, -0.07559804192048983, -0.10094445263048712, -0.0544665119591051, 0.3077356926768913, -0.22250050268280255, -0.25805912040088747, 0.0546126937752747, -0.27601421428975503, -0.12923148662691386, 0.10961128069400626, -0.0900378026933947, -0.07538677563130015, 0.003578369125304088, 0.15180333703756332, -0.1245354127407756, -0.2227564570297238, 0.339897385339292, 0.06161466396977784, 0.24965282690770346, 0.015932087104400278, 0.21716135606484513, 0.013355761031869431, 0.030905535838133852, -0.02005122533161521, -0.1213479598523585, 0.07450106078234146, 0.15974205498859076, 0.06742562743192407, 0.15218655869338504, -0.4173750262051611, -0.1514586062091862, 0.06390041841561316, 0.15042463630359149, 0.13303275318475258, -0.04443115676740106, -0.2608600684218633, -0.011397152148764318, -0.2178753315615402, -0.197151190286476, -0.07613642285512366, 0.06464052098003072, -0.11689221145401538, -0.22917268796443518, 0.05216571177736345, 0.0588153839819658, 0.10296701435262048, -0.09394500934531991, -0.04765085355234398, -0.08929520019028388, 0.08099722993415846, 0.013297625277912848, 0.032713666230335205, 0.12871351080592458, -0.12323064380817272, -0.16518372595047867, 0.3583331972845948, -0.0007908152003156048, -0.27693679417208045, 0.14473605982329643, -0.15601741525174026, -0.1540945362624332, 0.11636498805732322, 0.1296891433409822, 0.13143421706914063, -0.10414491159657777, 0.22006208918460737, -0.10284353966470546, 0.12846177687842242, 0.04429742118383063, 0.07980923033909688, 0.1839326472008522, 0.12254853696155717, 0.053562886619441946, 0.14941048057107123, -0.002573132849442707, -0.1272276943077294, -0.42324499733431237, -0.2077494023587476, -0.1576714610457945, 0.13715647661100916, -0.16928289117743295, -0.1781764044098451, 0.43196864411051217, 0.1572382709896438, 0.16735816480670596, 0.011925581226151593, 0.18608060615583205, 0.12714443207574141, 0.0950262451242708, 0.08152925346413968, 0.2043735309025194, 0.19322379893610175, 0.04143416833683428, -0.24286269589366627, -0.12888184829752788, 0.18028744901727203] |
1,802.09367 | The Detectability of Earth's Biosignatures Across Time | Over the past two decades, enormous advances in the detection of exoplanets
have taken place. Currently, we have discovered hundreds of earth-sized
planets, several of them within the habitable zone of their star. In the coming
years, the efforts will concentrate in the characterization of these planets
and their atmospheres to try to detect the presence of biosignatures. However,
even if we discovered a second Earth, it is very unlikely that it would present
a stage of evolution similar to the present-day Earth. Our planet has been far
from static since its formation about 4.5 Ga ago; on the contrary, during this
time, it has undergone multiple changes in it's atmospheric composition, it's
temperature structure, it's continental distribution, and even changes in the
forms of life that inhabit it. All these changes have affected the global
properties of Earth as seen from an astronomical distance. Thus, it is of
interest not only to characterize the observables of the Earth as it is today,
but also at different epochs. Here we review the detectability of the Earth's
globally-averaged properties over time. This includes atmospheric composition
and biosignatures, and surface properties that can be interpreted as sings of
habitability (bioclues). The resulting picture is that truly unambiguous
biosignatures are only detectable for about 1/4 of the Earth's history. The
rest of the time we rely on detectable bioclues that can only establish an
statistical likelihood for the presence of life on a given planet.
| astro-ph.EP | over the past two decades enormous advances in the detection of exoplanets have taken place currently we have discovered hundreds of earthsized planets several of them within the habitable zone of their star in the coming years the efforts will concentrate in the characterization of these planets and their atmospheres to try to detect the presence of biosignatures however even if we discovered a second earth it is very unlikely that it would present a stage of evolution similar to the presentday earth our planet has been far from static since its formation about 45 ga ago on the contrary during this time it has undergone multiple changes in its atmospheric composition its temperature structure its continental distribution and even changes in the forms of life that inhabit it all these changes have affected the global properties of earth as seen from an astronomical distance thus it is of interest not only to characterize the observables of the earth as it is today but also at different epochs here we review the detectability of the earths globallyaveraged properties over time this includes atmospheric composition and biosignatures and surface properties that can be interpreted as sings of habitability bioclues the resulting picture is that truly unambiguous biosignatures are only detectable for about 14 of the earths history the rest of the time we rely on detectable bioclues that can only establish an statistical likelihood for the presence of life on a given planet | [['over', 'the', 'past', 'two', 'decades', 'enormous', 'advances', 'in', 'the', 'detection', 'of', 'exoplanets', 'have', 'taken', 'place', 'currently', 'we', 'have', 'discovered', 'hundreds', 'of', 'earthsized', 'planets', 'several', 'of', 'them', 'within', 'the', 'habitable', 'zone', 'of', 'their', 'star', 'in', 'the', 'coming', 'years', 'the', 'efforts', 'will', 'concentrate', 'in', 'the', 'characterization', 'of', 'these', 'planets', 'and', 'their', 'atmospheres', 'to', 'try', 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1,802.09368 | On transitive group G-groupoids | The purpose of this paper is to study the transitive group-groupoids.
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1,802.09369 | River Crossing Problems: Algebraic Approach | We consider two river crossing problems, about jealous husbands and about
missionaries and cannibals. The missionaries and cannibals problem arose a
thousand years after the jealous husbands problem, although its solution had
actually appeared several hundred years before its formulation. We apply an
algebraic approach to study these problems, using a symmetry group action on
the state set of the jealous husband problem; then category theory is used to
describe the relationship between the two problems. Some historical issues are
also touched, related to the fact that the missionaries and cannibals problem
arose precisely when the group approach began to be widely spread and
popularized. This is the approach that naturally connects both problems.
| math.HO math.CO math.CT | we consider two river crossing problems about jealous husbands and about missionaries and cannibals the missionaries and cannibals problem arose a thousand years after the jealous husbands problem although its solution had actually appeared several hundred years before its formulation we apply an algebraic approach to study these problems using a symmetry group action on the state set of the jealous husband problem then category theory is used to describe the relationship between the two problems some historical issues are also touched related to the fact that the missionaries and cannibals problem arose precisely when the group approach began to be widely spread and popularized this is the approach that naturally connects both problems | [['we', 'consider', 'two', 'river', 'crossing', 'problems', 'about', 'jealous', 'husbands', 'and', 'about', 'missionaries', 'and', 'cannibals', 'the', 'missionaries', 'and', 'cannibals', 'problem', 'arose', 'a', 'thousand', 'years', 'after', 'the', 'jealous', 'husbands', 'problem', 'although', 'its', 'solution', 'had', 'actually', 'appeared', 'several', 'hundred', 'years', 'before', 'its', 'formulation', 'we', 'apply', 'an', 'algebraic', 'approach', 'to', 'study', 'these', 'problems', 'using', 'a', 'symmetry', 'group', 'action', 'on', 'the', 'state', 'set', 'of', 'the', 'jealous', 'husband', 'problem', 'then', 'category', 'theory', 'is', 'used', 'to', 'describe', 'the', 'relationship', 'between', 'the', 'two', 'problems', 'some', 'historical', 'issues', 'are', 'also', 'touched', 'related', 'to', 'the', 'fact', 'that', 'the', 'missionaries', 'and', 'cannibals', 'problem', 'arose', 'precisely', 'when', 'the', 'group', 'approach', 'began', 'to', 'be', 'widely', 'spread', 'and', 'popularized', 'this', 'is', 'the', 'approach', 'that', 'naturally', 'connects', 'both', 'problems']] | [-0.06196891683921741, 0.05580767033646688, -0.09452213632482055, 0.1062367481696256, -0.10926669383454218, -0.10775769378565121, 0.029357671021818788, 0.3469910015241782, -0.33058348943054544, -0.3162420217668752, 0.1823199396185054, -0.3026787526006892, -0.19116387137603996, 0.20046193043194843, -0.11991164285951016, 0.01792110578185601, 0.07652243129549581, 0.06399803747128892, -0.07835126954555642, -0.28949474854999335, 0.325244983261974, -0.012828762181462687, 0.23876663971806697, 0.07876568171808399, 0.1300463958208351, -0.018644028036904178, 0.0005363248403004387, 0.01765039141122415, -0.10184719518867114, 0.11652101745028376, 0.24038176606572642, 0.18377399722751425, 0.32981116254507614, -0.44304234001850873, -0.18860874408365866, 0.11435948831862525, 0.11545366097012894, 0.0863965550057688, -0.0009124163311514023, -0.27340012398270663, 0.0681051538150202, -0.16406805172824024, -0.11415474098420848, 0.020847087777056322, 0.023780575602135638, -0.07384801714623902, -0.15711288330688453, 0.05190085715858323, 0.01902799178609265, 0.04093889327589096, -0.0562005582522895, -0.09951581260528448, 0.0515839175317077, 0.12467231855471414, 0.09934351882354046, 0.024873505413875376, 0.07606164463325976, -0.07522037127279889, -0.11967798945363284, 0.3814941099926568, 0.036071902757771966, -0.1295670747691602, 0.15542882543645406, -0.060863611541623085, -0.15902479401005334, 0.08294444992753326, 0.12174901017396335, 0.14995300251859844, -0.1386037901511851, 0.06949044622862793, -0.09925062440564497, 0.12521707557403206, 0.09116800294641667, -0.04336544546592785, 0.15785372242527573, 0.1323011833030665, 0.044393102899847325, 0.11677655616771071, -0.03473639825824648, -0.1318626802531071, -0.22215594357827254, -0.0926311523490177, -0.07648614964962594, 0.03957735584525947, -0.011547573633147852, -0.11163425976573899, 0.3823281307786442, 0.17350027255260533, 0.1695980302940466, 0.027634086463142905, 0.20865005342159093, 0.07425060707847526, 0.022503916023037675, 0.06054056076569842, 0.1853908509919277, 0.1588386008597649, 0.10914127590347147, -0.17083061004073866, 0.02846892303460392, 0.08878506796757217] |
1,802.0937 | Averaging of density kernel estimators | Averaging provides an alternative to bandwidth selection for density kernel
estimation. We propose a procedure to combine linearly several kernel
estimators of a density obtained from different, possibly data-driven,
bandwidths. The method relies on minimizing an easily tractable approximation
of the integrated square error of the combination. It provides, at a small
computational cost, a final solution that improves on the initial estimators in
most cases. The average estimator is proved to be asymptotically as efficient
as the best possible combination (the oracle), with an error term that
decreases faster than the minimax rate obtained with separated learning and
validation samples. The performances are tested numerically, with results that
compare favorably to other existing procedures in terms of mean integrated
square errors.
| math.ST stat.TH | averaging provides an alternative to bandwidth selection for density kernel estimation we propose a procedure to combine linearly several kernel estimators of a density obtained from different possibly datadriven bandwidths the method relies on minimizing an easily tractable approximation of the integrated square error of the combination it provides at a small computational cost a final solution that improves on the initial estimators in most cases the average estimator is proved to be asymptotically as efficient as the best possible combination the oracle with an error term that decreases faster than the minimax rate obtained with separated learning and validation samples the performances are tested numerically with results that compare favorably to other existing procedures in terms of mean integrated square errors | [['averaging', 'provides', 'an', 'alternative', 'to', 'bandwidth', 'selection', 'for', 'density', 'kernel', 'estimation', 'we', 'propose', 'a', 'procedure', 'to', 'combine', 'linearly', 'several', 'kernel', 'estimators', 'of', 'a', 'density', 'obtained', 'from', 'different', 'possibly', 'datadriven', 'bandwidths', 'the', 'method', 'relies', 'on', 'minimizing', 'an', 'easily', 'tractable', 'approximation', 'of', 'the', 'integrated', 'square', 'error', 'of', 'the', 'combination', 'it', 'provides', 'at', 'a', 'small', 'computational', 'cost', 'a', 'final', 'solution', 'that', 'improves', 'on', 'the', 'initial', 'estimators', 'in', 'most', 'cases', 'the', 'average', 'estimator', 'is', 'proved', 'to', 'be', 'asymptotically', 'as', 'efficient', 'as', 'the', 'best', 'possible', 'combination', 'the', 'oracle', 'with', 'an', 'error', 'term', 'that', 'decreases', 'faster', 'than', 'the', 'minimax', 'rate', 'obtained', 'with', 'separated', 'learning', 'and', 'validation', 'samples', 'the', 'performances', 'are', 'tested', 'numerically', 'with', 'results', 'that', 'compare', 'favorably', 'to', 'other', 'existing', 'procedures', 'in', 'terms', 'of', 'mean', 'integrated', 'square', 'errors']] | [-0.050177616614001025, 0.0003334510279199124, -0.08593016997605685, 0.091930843240841, -0.046716905164639236, -0.16066448613390572, 0.05584941803645648, 0.42913438300373125, -0.238218578900264, -0.31216411198275623, 0.14681742732130662, -0.27434330377117044, -0.0934411032739874, 0.26011135965036075, -0.10187809893739272, 0.10192169454120496, 0.0906853937643168, 0.015145288459712365, -0.12976079531200993, -0.3222413118317968, 0.2325121806734089, 0.12772156408850532, 0.32431772116907553, -0.037398907257679116, 0.14126424263727652, 0.006678868680581694, -0.02701274303291909, 0.0410106824358946, -0.1283880811876815, 0.1485316119835231, 0.24822249266578525, 0.1261987649515027, 0.33509760951531714, -0.3579171488031012, -0.18275136910531609, 0.07996444633711496, 0.15514168000329653, 0.09829781397596979, -0.007590030646333319, -0.24207263362792428, 0.0775100664983763, -0.16355470715679388, -0.09265451140121603, -0.10411763158588686, -0.04198030520566418, 0.017426641993835323, -0.370385370499714, 0.1191561342003282, -0.008429947077319576, 0.006514100518199752, -0.03814939666562332, -0.21456413456528892, 0.04057928638486955, 0.08288991793257292, 0.06494084704995583, 0.051060971729533715, 0.13395627110158323, -0.09063904109930039, -0.12222150574270331, 0.2805518310394932, -0.11279740311326096, -0.22341121074964948, 0.18297084998797442, -0.04486786032889466, -0.051725938133742724, 0.1568879976593813, 0.1776579415471461, 0.10159224664532869, -0.15886037269240763, 0.03899255118926331, 0.0023757131411464975, 0.18686881159874993, 0.027270032963181128, 0.04223932284808367, 0.08860773227528715, 0.2029842260125719, 0.15886696548960705, 0.15430947220035005, -0.1060055742025009, -0.07431752725693275, -0.3043006043604453, -0.09952911269683086, -0.23930157459203583, -0.025642456769271463, -0.1611541819444535, -0.18798555656656868, 0.35789976113277383, 0.18073817302824044, 0.1973893270125521, 0.15808369038668538, 0.33183152890443557, 0.14176188451886848, 0.057584808696611006, 0.1290423658401629, 0.2358211406476063, 0.08548255246247119, 0.0082894725129619, -0.2075253954313726, 0.0952328551240021, 0.05311484760642968] |
1,802.09371 | Autoencoder based image compression: can the learning be quantization
independent? | This paper explores the problem of learning transforms for image compression
via autoencoders. Usually, the rate-distortion performances of image
compression are tuned by varying the quantization step size. In the case of
autoen-coders, this in principle would require learning one transform per
rate-distortion point at a given quantization step size. Here, we show that
comparable performances can be obtained with a unique learned transform. The
different rate-distortion points are then reached by varying the quantization
step size at test time. This approach saves a lot of training time.
| eess.IV cs.LG eess.SP stat.ML | this paper explores the problem of learning transforms for image compression via autoencoders usually the ratedistortion performances of image compression are tuned by varying the quantization step size in the case of autoencoders this in principle would require learning one transform per ratedistortion point at a given quantization step size here we show that comparable performances can be obtained with a unique learned transform the different ratedistortion points are then reached by varying the quantization step size at test time this approach saves a lot of training time | [['this', 'paper', 'explores', 'the', 'problem', 'of', 'learning', 'transforms', 'for', 'image', 'compression', 'via', 'autoencoders', 'usually', 'the', 'ratedistortion', 'performances', 'of', 'image', 'compression', 'are', 'tuned', 'by', 'varying', 'the', 'quantization', 'step', 'size', 'in', 'the', 'case', 'of', 'autoencoders', 'this', 'in', 'principle', 'would', 'require', 'learning', 'one', 'transform', 'per', 'ratedistortion', 'point', 'at', 'a', 'given', 'quantization', 'step', 'size', 'here', 'we', 'show', 'that', 'comparable', 'performances', 'can', 'be', 'obtained', 'with', 'a', 'unique', 'learned', 'transform', 'the', 'different', 'ratedistortion', 'points', 'are', 'then', 'reached', 'by', 'varying', 'the', 'quantization', 'step', 'size', 'at', 'test', 'time', 'this', 'approach', 'saves', 'a', 'lot', 'of', 'training', 'time']] | [-0.05043228548443453, 0.05833020349117843, -0.11020557318856432, 0.04024774169110143, -0.05568826163653284, -0.17416874707189642, 0.05841146274707915, 0.4347654276273467, -0.3373014331763526, -0.30334915562575177, 0.08060719370405423, -0.21526396837593478, -0.15185243571018378, 0.18761270134498112, -0.14963127730350773, 0.12198097484228625, 0.10997746395217044, 0.0662109149323607, -0.14326554943479344, -0.3257985783486881, 0.2849602454622403, 0.09708761085031173, 0.35341334574199706, -0.042211503012698486, 0.11608825123403221, -0.015416756272315979, 0.0012554921929470518, -0.015063433728011494, -0.08064801986264766, 0.11327536937923552, 0.2935116303243293, 0.1460635704623366, 0.3536227658200501, -0.4041296305473555, -0.22316867919554087, 0.06787084229290485, 0.18546631177675657, 0.08342863729392941, -0.07884495533918115, -0.2817362472997047, 0.09771863387008621, -0.08018389925233681, 0.0015546116258271716, -0.06746741757855158, -0.0642427813145332, -0.018511453130155463, -0.30298275351841847, 0.018756071412512523, 0.08018746762536466, 0.02511121299837462, -0.04240272693674673, -0.11723354886899787, 0.08321208054919473, 0.12309277007377452, 0.03045796782349829, 0.09797959830029868, 0.1502977827013555, -0.133304475236483, -0.09976918748262423, 0.34557263241996145, -0.023678036120889537, -0.2509128651264208, 0.11969146561089226, -0.08113678395536474, -0.13550565398128872, 0.15224966112608937, 0.21464041423116048, 0.10087400995491241, -0.12370638413862749, 0.047612352603623134, -0.011215698762415823, 0.18793392255644326, 0.15053299301176926, 0.03368233764988624, 0.1570959816136482, 0.2482819282449782, 0.055658253745853224, 0.21734060755459889, -0.14694733460518447, -0.058984182425774634, -0.29255902950270946, -0.14313581693832847, -0.28118221226825635, 0.031426318349655376, -0.14427722690478814, -0.09058766327375038, 0.38685990585310553, 0.17577606529018588, 0.2234558980403976, 0.12315313040347643, 0.32951652871402487, 0.138400660880672, 0.0828956439879469, 0.07799417321273888, 0.19174937104848636, 0.011588860440745273, 0.10400746384402737, -0.18353544534924862, 0.05923819879006425, 0.09944404411891644] |
1,802.09372 | Generalized Chacon polynomial constructions | We define a generalization of Chacon's classical automorphism and answer the
question of whether its important properties remain. We calculate the family of
polynimials representing the automorphism, given in recurrence formulae, and
infer its basic characterictics, namely the palindromic property and the
sequence of degrees.
| math.DS math.FA math.PR | we define a generalization of chacons classical automorphism and answer the question of whether its important properties remain we calculate the family of polynimials representing the automorphism given in recurrence formulae and infer its basic characterictics namely the palindromic property and the sequence of degrees | [['we', 'define', 'a', 'generalization', 'of', 'chacons', 'classical', 'automorphism', 'and', 'answer', 'the', 'question', 'of', 'whether', 'its', 'important', 'properties', 'remain', 'we', 'calculate', 'the', 'family', 'of', 'polynimials', 'representing', 'the', 'automorphism', 'given', 'in', 'recurrence', 'formulae', 'and', 'infer', 'its', 'basic', 'characterictics', 'namely', 'the', 'palindromic', 'property', 'and', 'the', 'sequence', 'of', 'degrees']] | [-0.14915865469215947, 0.0780904269388636, -0.08308302162384446, 0.11539823593656448, -0.07951939343051477, -0.1071723422395404, 0.05292440992409617, 0.31059856204824016, -0.39499231398274953, -0.27971682943065057, 0.11749603509352627, -0.2649832107126713, -0.18235290723598815, 0.15291113084690136, -0.09914240598763255, 0.012210672033358027, 0.014000465797091072, 0.12767067323015494, -0.08983749135355042, -0.2477403705600988, 0.3539603596172211, -0.023399732001549142, 0.16846467194740067, 0.055090063378553496, 0.1330304668306119, 0.015055939280004664, -0.06305035782596943, -0.05234788252379407, -0.21255129035985607, 0.13677963203835217, 0.18526118616996842, 0.20093919663817028, 0.2181433833373541, -0.3339219762181694, -0.10816931616599587, 0.1595430591260083, 0.14365384535102005, 0.03744081092604161, -0.013680206103758379, -0.20918485693718222, 0.09998325069053945, -0.16286020990545777, -0.20607133870097724, -0.06748421585441312, 0.08936451140537181, 0.020818822424520145, -0.15997667056085033, 0.02581454948945479, 0.16451202538287776, 0.1077936225460276, -0.047977199994916606, -0.08106574898755009, -0.020361579949332572, 0.18396285830319606, 0.007629879692909857, -0.011767523543147201, 0.05145661581561647, -0.12943696725944226, -0.11291060939865102, 0.3972609291654821, -0.014725537885996428, -0.19972385838627815, 0.12858538506340914, -0.14376032599036329, -0.19893553003203124, 0.037074205645529386, 0.14397550562650643, 0.1409489884549244, -0.07016198855655437, 0.11340471331310585, -0.10415272406217727, 0.12860414614392954, 0.12052380843934687, 0.08128343447407876, 0.17246797613122247, 0.09534642577636987, 0.008186213386414403, 0.2076233202930201, 0.01657302656464956, -0.05586219832978465, -0.2622430828103626, -0.20280275435652584, -0.0912465590517968, 0.10083411782133309, -0.09880096354655424, -0.22303809386424042, 0.47801998325369577, 0.15965506551252806, 0.1855354169383645, 0.09857139952311461, 0.17192372466458686, 0.07870264013763517, 0.010053084602325478, 0.07055196288803761, 0.11261058648497882, 0.26272150687873363, -0.07169623823938309, -0.22663737982987764, 0.11432118024888703, 0.18644156753593547] |
1,802.09373 | Search for time modulations in the decay constant of 40K and 226Ra at
the underground Gran Sasso Laboratory | Time modulations at per mil level have been reported to take place in the
decay constant of several nuclei with period of one year (most cases) but also
of about one month or one day. On the other hand, experiments with similar or
better sensitivity have been unable to detect any modulation. In this letter we
give the results of the activity study of two different sources: 40K and 226Ra.
The two gamma spectrometry experiments have been performed underground at the
Gran Sasso Laboratory, this way suppressing the time dependent cosmic ray
background. Briefly, our measurements reached the sensitivity of 3.4 and 3.5
parts over 10^6 for 40K and 226Ra, respectively (1 sigma) and they do not show
any statistically significant evidence of time dependence in the decay
constant. We also give the results of the activity measurement at the time of
the two strong X-class solar flares which took place in September 2017. Our
data do not show any unexpected time dependence in the decay rate of 40K in
correspondence with the two flares. To the best of our knowledge, these are the
most precise and accurate results on the stability of the decay constant as
function of time.
| nucl-ex astro-ph.SR | time modulations at per mil level have been reported to take place in the decay constant of several nuclei with period of one year most cases but also of about one month or one day on the other hand experiments with similar or better sensitivity have been unable to detect any modulation in this letter we give the results of the activity study of two different sources 40k and 226ra the two gamma spectrometry experiments have been performed underground at the gran sasso laboratory this way suppressing the time dependent cosmic ray background briefly our measurements reached the sensitivity of 34 and 35 parts over 106 for 40k and 226ra respectively 1 sigma and they do not show any statistically significant evidence of time dependence in the decay constant we also give the results of the activity measurement at the time of the two strong xclass solar flares which took place in september 2017 our data do not show any unexpected time dependence in the decay rate of 40k in correspondence with the two flares to the best of our knowledge these are the most precise and accurate results on the stability of the decay constant as function of time | [['time', 'modulations', 'at', 'per', 'mil', 'level', 'have', 'been', 'reported', 'to', 'take', 'place', 'in', 'the', 'decay', 'constant', 'of', 'several', 'nuclei', 'with', 'period', 'of', 'one', 'year', 'most', 'cases', 'but', 'also', 'of', 'about', 'one', 'month', 'or', 'one', 'day', 'on', 'the', 'other', 'hand', 'experiments', 'with', 'similar', 'or', 'better', 'sensitivity', 'have', 'been', 'unable', 'to', 'detect', 'any', 'modulation', 'in', 'this', 'letter', 'we', 'give', 'the', 'results', 'of', 'the', 'activity', 'study', 'of', 'two', 'different', 'sources', '40k', 'and', '226ra', 'the', 'two', 'gamma', 'spectrometry', 'experiments', 'have', 'been', 'performed', 'underground', 'at', 'the', 'gran', 'sasso', 'laboratory', 'this', 'way', 'suppressing', 'the', 'time', 'dependent', 'cosmic', 'ray', 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1,802.09374 | Characteristics and energy dependence of recurrent galactic cosmic-ray
flux depressions and of a Forbush decrease with LISA Pathfinder | Galactic cosmic-ray (GCR) energy spectra observed in the inner heliosphere
are modulated by the solar activity, the solar polarity and structures of solar
and interplanetary origin. A high counting rate particle detector (PD) aboard
LISA Pathfinder (LPF), meant for subsystems diagnostics, was devoted to the
measurement of galactic cosmic-ray and solar energetic particle integral fluxes
above 70 MeV n$^{-1}$ up to 6500 counts s$^{-1}$. PD data were gathered with a
sampling time of 15 s. Characteristics and energy-dependence of GCR flux
recurrent depressions and of a Forbush decrease dated August 2, 2016 are
reported here. The capability of interplanetary missions, carrying PDs for
instrument performance purposes, in monitoring the passage of interplanetary
coronal mass ejections (ICMEs) is also discussed.
| physics.space-ph astro-ph.HE astro-ph.SR | galactic cosmicray gcr energy spectra observed in the inner heliosphere are modulated by the solar activity the solar polarity and structures of solar and interplanetary origin a high counting rate particle detector pd aboard lisa pathfinder lpf meant for subsystems diagnostics was devoted to the measurement of galactic cosmicray and solar energetic particle integral fluxes above 70 mev n1 up to 6500 counts s1 pd data were gathered with a sampling time of 15 s characteristics and energydependence of gcr flux recurrent depressions and of a forbush decrease dated august 2 2016 are reported here the capability of interplanetary missions carrying pds for instrument performance purposes in monitoring the passage of interplanetary coronal mass ejections icmes is also discussed | [['galactic', 'cosmicray', 'gcr', 'energy', 'spectra', 'observed', 'in', 'the', 'inner', 'heliosphere', 'are', 'modulated', 'by', 'the', 'solar', 'activity', 'the', 'solar', 'polarity', 'and', 'structures', 'of', 'solar', 'and', 'interplanetary', 'origin', 'a', 'high', 'counting', 'rate', 'particle', 'detector', 'pd', 'aboard', 'lisa', 'pathfinder', 'lpf', 'meant', 'for', 'subsystems', 'diagnostics', 'was', 'devoted', 'to', 'the', 'measurement', 'of', 'galactic', 'cosmicray', 'and', 'solar', 'energetic', 'particle', 'integral', 'fluxes', 'above', '70', 'mev', 'n1', 'up', 'to', '6500', 'counts', 's1', 'pd', 'data', 'were', 'gathered', 'with', 'a', 'sampling', 'time', 'of', '15', 's', 'characteristics', 'and', 'energydependence', 'of', 'gcr', 'flux', 'recurrent', 'depressions', 'and', 'of', 'a', 'forbush', 'decrease', 'dated', 'august', '2', '2016', 'are', 'reported', 'here', 'the', 'capability', 'of', 'interplanetary', 'missions', 'carrying', 'pds', 'for', 'instrument', 'performance', 'purposes', 'in', 'monitoring', 'the', 'passage', 'of', 'interplanetary', 'coronal', 'mass', 'ejections', 'icmes', 'is', 'also', 'discussed']] | [-0.09933118114811408, 0.27321488972941116, 0.02608765845070593, 0.16838559961952113, -0.04025616328463843, -0.04755542805700117, -0.007518626968650257, 0.42266400890158756, -0.1611077666063519, -0.43977533813033787, 0.03361505303461449, -0.33719527006869304, -0.06456207669488773, 0.22927336302828513, -0.04429951362984897, 0.03889967395166843, 0.11830686373409166, -0.05938169557382079, -0.032568299148951756, -0.21950372761631964, 0.14340857190213033, 0.24054923060373598, 0.161643956975714, -0.0010336260272174322, 0.11103310353150043, -0.08533687972338448, -0.08434282702847752, -0.046467890955132096, -0.11722094529237942, 0.06414570818271707, 0.2429435811702068, 0.15349263654426992, 0.18550339690605258, -0.4449383475888176, -0.25382331902740385, 0.02893320401199162, 0.11940601397295456, -0.13899792360920585, -0.038059605387266444, -0.29233783845077543, 0.01513051160243379, -0.16802547195096726, -0.17864281678486207, 0.12361816718329151, 0.06376318630034558, 0.08640387456300629, -0.23493016093280636, 0.061622929827558626, -0.013096042990903644, 0.16245893793603203, -0.18777964988081647, -0.08430121399211783, -0.05134472347788137, 0.11461229440403961, 0.11598158965450751, 0.07507740783880801, 0.23072945681878, -0.023491905286062917, -0.10098457118856306, 0.3425734863291737, -0.044332058082859054, 0.0026526534616821956, 0.1449921923668022, -0.2605124459554981, -0.15314106485892495, 0.22114473811405547, 0.17841276852414012, 0.045672593513081054, -0.17163137199372805, 0.04933415650450742, 0.023934496699699333, 0.16431903705282622, 0.08369622177037433, -0.002300111819528231, 0.24452168104911864, 0.16182131985859835, 0.08629620512712653, 0.04606704861943085, -0.33713537773915697, -0.017267382781983923, -0.23932014312203817, -0.1507519489396833, -0.0960930424523266, 0.09645620024637828, -0.07787530149561607, -0.10561082551662787, 0.4155327109419428, 0.13534278577944936, 0.15671208844825374, -0.06336374230831548, 0.29663022814177664, 0.04797037036995552, 0.0342733853167909, 0.10638583829125561, 0.32199313658281786, 0.16980058670302212, 0.25630653743874754, -0.2051081281554486, 0.06035111776451353, 0.08131751872231292] |
1,802.09375 | From Phonology to Syntax: Unsupervised Linguistic Typology at Different
Levels with Language Embeddings | A core part of linguistic typology is the classification of languages
according to linguistic properties, such as those detailed in the World Atlas
of Language Structure (WALS). Doing this manually is prohibitively
time-consuming, which is in part evidenced by the fact that only 100 out of
over 7,000 languages spoken in the world are fully covered in WALS.
We learn distributed language representations, which can be used to predict
typological properties on a massively multilingual scale. Additionally,
quantitative and qualitative analyses of these language embeddings can tell us
how language similarities are encoded in NLP models for tasks at different
typological levels. The representations are learned in an unsupervised manner
alongside tasks at three typological levels: phonology (grapheme-to-phoneme
prediction, and phoneme reconstruction), morphology (morphological inflection),
and syntax (part-of-speech tagging).
We consider more than 800 languages and find significant differences in the
language representations encoded, depending on the target task. For instance,
although Norwegian Bokm{\aa}l and Danish are typologically close to one
another, they are phonologically distant, which is reflected in their language
embeddings growing relatively distant in a phonological task. We are also able
to predict typological features in WALS with high accuracies, even for unseen
language families.
| cs.CL | a core part of linguistic typology is the classification of languages according to linguistic properties such as those detailed in the world atlas of language structure wals doing this manually is prohibitively timeconsuming which is in part evidenced by the fact that only 100 out of over 7000 languages spoken in the world are fully covered in wals we learn distributed language representations which can be used to predict typological properties on a massively multilingual scale additionally quantitative and qualitative analyses of these language embeddings can tell us how language similarities are encoded in nlp models for tasks at different typological levels the representations are learned in an unsupervised manner alongside tasks at three typological levels phonology graphemetophoneme prediction and phoneme reconstruction morphology morphological inflection and syntax partofspeech tagging we consider more than 800 languages and find significant differences in the language representations encoded depending on the target task for instance although norwegian bokmaal and danish are typologically close to one another they are phonologically distant which is reflected in their language embeddings growing relatively distant in a phonological task we are also able to predict typological features in wals with high accuracies even for unseen language families | [['a', 'core', 'part', 'of', 'linguistic', 'typology', 'is', 'the', 'classification', 'of', 'languages', 'according', 'to', 'linguistic', 'properties', 'such', 'as', 'those', 'detailed', 'in', 'the', 'world', 'atlas', 'of', 'language', 'structure', 'wals', 'doing', 'this', 'manually', 'is', 'prohibitively', 'timeconsuming', 'which', 'is', 'in', 'part', 'evidenced', 'by', 'the', 'fact', 'that', 'only', '100', 'out', 'of', 'over', '7000', 'languages', 'spoken', 'in', 'the', 'world', 'are', 'fully', 'covered', 'in', 'wals', 'we', 'learn', 'distributed', 'language', 'representations', 'which', 'can', 'be', 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1,802.09376 | An important step for the computation of the HOMFLYPT skein module of
the lens spaces $L(p,1)$ via braids | We prove that, in order to derive the HOMFLYPT skein module of the lens
spaces $L(p,1)$ from the HOMFLYPT skein module of the solid torus,
$\mathcal{S}({\rm ST})$, it suffices to solve an infinite system of equations
obtained by imposing on the Lambropoulou invariant $X$ for knots and links in
the solid torus, braid band moves that are performed only on the first moving
strand of elements in a set $\Lambda^{aug}$, augmenting the basis $\Lambda$ of
$\mathcal{S}({\rm ST})$.
| math.GT | we prove that in order to derive the homflypt skein module of the lens spaces lp1 from the homflypt skein module of the solid torus mathcalsrm st it suffices to solve an infinite system of equations obtained by imposing on the lambropoulou invariant x for knots and links in the solid torus braid band moves that are performed only on the first moving strand of elements in a set lambdaaug augmenting the basis lambda of mathcalsrm st | [['we', 'prove', 'that', 'in', 'order', 'to', 'derive', 'the', 'homflypt', 'skein', 'module', 'of', 'the', 'lens', 'spaces', 'lp1', 'from', 'the', 'homflypt', 'skein', 'module', 'of', 'the', 'solid', 'torus', 'mathcalsrm', 'st', 'it', 'suffices', 'to', 'solve', 'an', 'infinite', 'system', 'of', 'equations', 'obtained', 'by', 'imposing', 'on', 'the', 'lambropoulou', 'invariant', 'x', 'for', 'knots', 'and', 'links', 'in', 'the', 'solid', 'torus', 'braid', 'band', 'moves', 'that', 'are', 'performed', 'only', 'on', 'the', 'first', 'moving', 'strand', 'of', 'elements', 'in', 'a', 'set', 'lambdaaug', 'augmenting', 'the', 'basis', 'lambda', 'of', 'mathcalsrm', 'st']] | [-0.21098016459788932, 0.09354371395698093, -0.10069053096231073, 0.021704587268973945, -0.08314807080712758, -0.16167306350421554, 0.02108921882149604, 0.3385067803687171, -0.34791644480949463, -0.2518586586229503, 0.06802468569060836, -0.23500412751271046, -0.1256950948215825, 0.18460768693138993, -0.07717835517159026, 0.010778477881103754, 0.07427159191329817, 0.07249750685571742, -0.10927971166337987, -0.230237272540475, 0.36296246588953135, 0.0058561155793110005, 0.1540665652504877, -0.00995796563802287, 0.17458339738904646, 0.02199264171864151, -0.0313783535782836, -0.008865717871996918, -0.2130066319071997, 0.1141825031334424, 0.22726789366846023, 0.02798450371483341, 0.09711579201546938, -0.41596527184408744, -0.12584196855191535, 0.08971155652972429, 0.12396950166255824, -0.009515200839623025, 0.031175147098685175, -0.2655473978834619, 0.07878152807978422, -0.18831809756566623, -0.13545273910399133, -0.005737697056151535, 0.0626403073853764, 0.00894725762152934, -0.21131125969910308, -0.032602618408609965, 0.06732758398069755, 0.09106898317603689, -0.040797296488706614, -0.1012715112929551, -0.10121611170286901, 0.1293973428086917, -0.022462782312160062, 0.08469881275423656, 0.09429502864000633, -0.15151770170900578, -0.11786066634752053, 0.38420575205236673, -0.04620038254008824, -0.24407002249561055, 0.11867213535955862, -0.1462417037385565, -0.16821492803405577, 0.1821281568294293, 0.05957775161062416, 0.10463715856894851, -0.05834193151493214, 0.13478427793214856, -0.15879047578844047, 0.14116291085405178, 0.10792584124780995, -0.04879015105727472, 0.1488010075531508, 0.08726566648846001, 0.073041503060315, 0.18571684154142676, -0.06859002332815803, -0.03659327292897567, -0.3465571020925908, -0.26760515995862844, -0.1750925179803744, 0.0728812218202572, -0.11471755696000305, -0.1353843936322894, 0.3502614626072739, 0.07808749952451571, 0.11586700091873736, 0.13486246335072027, 0.22585659394481858, 0.06867676625188324, 0.07263569534514222, 0.08828402803230442, 0.14334057278833107, 0.1924739201050742, 0.03506758282157151, -0.16999593127433113, -0.009036007306636557, 0.2638403607752958] |
1,802.09377 | A Finite-Model-Theoretic View on Propositional Proof Complexity | We establish new, and surprisingly tight, connections between propositional
proof complexity and finite model theory. Specifically, we show that the power
of several propositional proof systems, such as Horn resolution, bounded-width
resolution, and the monomial calculus of bounded degree, can be characterised
in a precise sense by variants of fixed-point logics that are of fundamental
importance in descriptive complexity theory. Our main results are that Horn
resolution has the same expressive power as least fixed-point logic, that
bounded-width resolution captures existential least fixed-point logic, and that
the polynomial calculus with bounded degree over the rationals solves precisely
the problems definable in fixed-point logic with counting. We also study the
bounded-degree polynomial calculus. Over the rationals, it captures fixed-point
logic with counting if we restrict the bit-complexity of the coefficients. For
unrestricted coefficients, we can only say that the bounded-degree polynomial
calculus is at most as powerful as bounded variable infinitary counting logic,
but a precise logical characterisation of its power remains an open problem.
These connections between logics and proof systems allow us to establish
finite-model-theoretic tools for proving lower bounds for the polynomial
calculus over the rationals and also over finite fields.
This is a corrected version of the paper (arXiv:1802.09377) published
originally on January 23, 2019.
| cs.LO | we establish new and surprisingly tight connections between propositional proof complexity and finite model theory specifically we show that the power of several propositional proof systems such as horn resolution boundedwidth resolution and the monomial calculus of bounded degree can be characterised in a precise sense by variants of fixedpoint logics that are of fundamental importance in descriptive complexity theory our main results are that horn resolution has the same expressive power as least fixedpoint logic that boundedwidth resolution captures existential least fixedpoint logic and that the polynomial calculus with bounded degree over the rationals solves precisely the problems definable in fixedpoint logic with counting we also study the boundeddegree polynomial calculus over the rationals it captures fixedpoint logic with counting if we restrict the bitcomplexity of the coefficients for unrestricted coefficients we can only say that the boundeddegree polynomial calculus is at most as powerful as bounded variable infinitary counting logic but a precise logical characterisation of its power remains an open problem these connections between logics and proof systems allow us to establish finitemodeltheoretic tools for proving lower bounds for the polynomial calculus over the rationals and also over finite fields this is a corrected version of the paper arxiv180209377 published originally on january 23 2019 | [['we', 'establish', 'new', 'and', 'surprisingly', 'tight', 'connections', 'between', 'propositional', 'proof', 'complexity', 'and', 'finite', 'model', 'theory', 'specifically', 'we', 'show', 'that', 'the', 'power', 'of', 'several', 'propositional', 'proof', 'systems', 'such', 'as', 'horn', 'resolution', 'boundedwidth', 'resolution', 'and', 'the', 'monomial', 'calculus', 'of', 'bounded', 'degree', 'can', 'be', 'characterised', 'in', 'a', 'precise', 'sense', 'by', 'variants', 'of', 'fixedpoint', 'logics', 'that', 'are', 'of', 'fundamental', 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1,802.09378 | Decreasing height along continued fractions | The fact that the euclidean algorithm eventually terminates is pervasive in
mathematics. In the language of continued fractions, it can be stated by saying
that the orbits of rational points under the Gauss map x-->{1/x} eventually
reach zero. Analogues of this fact for Gauss maps defined over quadratic number
fields have relevance in the theory of flows on translation surfaces, and have
been established via powerful machinery, ultimately relying on the Veech
dichotomy. In this paper, for each commensurability class of noncocompact
triangle groups of quadratic invariant trace field, we construct a Gauss map
whose defining matrices generate a group in the class; we then provide a direct
and self-contained proof of termination. As a byproduct, we provide a new proof
of the fact that noncocompact triangle groups of quadratic invariant trace
field have the projective line over that field as the set of cross-ratios of
cusps.
Our proof is based on an analysis of the action of nonnegative matrices with
quadratic integer entries on the Weil height of points. As a consequence of the
analysis, we show that long symbolic sequences in the alphabet of our maps can
be effectively split into blocks of predetermined shape having the property
that the height of points which obey the sequence and belong to the base field
decreases strictly at each block end. Since the height cannot decrease
infinitely, the termination property follows.
| math.DS math.NT | the fact that the euclidean algorithm eventually terminates is pervasive in mathematics in the language of continued fractions it can be stated by saying that the orbits of rational points under the gauss map x1x eventually reach zero analogues of this fact for gauss maps defined over quadratic number fields have relevance in the theory of flows on translation surfaces and have been established via powerful machinery ultimately relying on the veech dichotomy in this paper for each commensurability class of noncocompact triangle groups of quadratic invariant trace field we construct a gauss map whose defining matrices generate a group in the class we then provide a direct and selfcontained proof of termination as a byproduct we provide a new proof of the fact that noncocompact triangle groups of quadratic invariant trace field have the projective line over that field as the set of crossratios of cusps our proof is based on an analysis of the action of nonnegative matrices with quadratic integer entries on the weil height of points as a consequence of the analysis we show that long symbolic sequences in the alphabet of our maps can be effectively split into blocks of predetermined shape having the property that the height of points which obey the sequence and belong to the base field decreases strictly at each block end since the height cannot decrease infinitely the termination property follows | [['the', 'fact', 'that', 'the', 'euclidean', 'algorithm', 'eventually', 'terminates', 'is', 'pervasive', 'in', 'mathematics', 'in', 'the', 'language', 'of', 'continued', 'fractions', 'it', 'can', 'be', 'stated', 'by', 'saying', 'that', 'the', 'orbits', 'of', 'rational', 'points', 'under', 'the', 'gauss', 'map', 'x1x', 'eventually', 'reach', 'zero', 'analogues', 'of', 'this', 'fact', 'for', 'gauss', 'maps', 'defined', 'over', 'quadratic', 'number', 'fields', 'have', 'relevance', 'in', 'the', 'theory', 'of', 'flows', 'on', 'translation', 'surfaces', 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1,802.09379 | Mapping of Jupiter's tropospheric NH$_3$ abundance using ground-based
IRTF/TEXES observations at 5 $\mu$m | We report on results of an observing campaign to support the Juno mission. At
the beginning of 2016, using TEXES (Texas Echelon cross-dispersed Echelle
Spectrograph), mounted on the NASA Infrared Telescope Facility (IRTF), we
obtained data cubes of Jupiter in the 1930--1943 cm$^{-1}$ spectral ranges
(around 5 $\mu$m), which probe the atmosphere in the 1--4 bar region, with a
spectral resolution of $\approx$ 0.15 cm$^{-1}$ and an angular resolution of
$\approx$ 1.4". This dataset is analysed by a code that combines a line-by-line
radiative transfer model with a non-linear optimal estimation inversion method.
The inversion retrieves the vertical abundance profiles of NH$_3$ - which is
the main contributor at these wavelengths - with a maximum sensitivity at
$\approx$ 1--3 bar, as well as the cloud transmittance. This retrieval is
performed on over more than one thousand pixels of our data cubes, producing
maps of the disk, where all the major belts are visible. We present our
retrieved NH$_3$ abundance maps which can be compared with the distribution
observed by Juno's MWR (Bolton et al., 2017; Li et al., 2017) in the 2 bar
region and discuss their significance for the understanding of Jupiter's
atmospheric dynamics. We are able to show important latitudinal variations -
such as in the North Equatorial Belt (NEB), where the NH$_3$ abundance is
observed to drop down to 60 ppmv at 2 bar - as well as longitudinal
variability. In the zones, we find the NH$_3$ abundance to increase with depth,
from 100 $\pm$ 15 ppmv at 1 bar to 500 $\pm$ 30 ppmv at 3 bar. We also display
the cloud transmittance--NH$_3$ abundance relationship, and find different
behaviour for the NEB, the other belts and the zones. Using a simple cloud
model, we are able to fit this relationship, at least in the NEB, including
either NH$_3$-ice or NH$_4$SH particles with sizes between 10 and 100 $\mu$m.
| astro-ph.EP | we report on results of an observing campaign to support the juno mission at the beginning of 2016 using texes texas echelon crossdispersed echelle spectrograph mounted on the nasa infrared telescope facility irtf we obtained data cubes of jupiter in the 19301943 cm1 spectral ranges around 5 mum which probe the atmosphere in the 14 bar region with a spectral resolution of approx 015 cm1 and an angular resolution of approx 14 this dataset is analysed by a code that combines a linebyline radiative transfer model with a nonlinear optimal estimation inversion method the inversion retrieves the vertical abundance profiles of nh_3 which is the main contributor at these wavelengths with a maximum sensitivity at approx 13 bar as well as the cloud transmittance this retrieval is performed on over more than one thousand pixels of our data cubes producing maps of the disk where all the major belts are visible we present our retrieved nh_3 abundance maps which can be compared with the distribution observed by junos mwr bolton et al 2017 li et al 2017 in the 2 bar region and discuss their significance for the understanding of jupiters atmospheric dynamics we are able to show important latitudinal variations such as in the north equatorial belt neb where the nh_3 abundance is observed to drop down to 60 ppmv at 2 bar as well as longitudinal variability in the zones we find the nh_3 abundance to increase with depth from 100 pm 15 ppmv at 1 bar to 500 pm 30 ppmv at 3 bar we also display the cloud transmittancenh_3 abundance relationship and find different behaviour for the neb the other belts and the zones using a simple cloud model we are able to fit this relationship at least in the neb including either nh_3ice or nh_4sh particles with sizes between 10 and 100 mum | [['we', 'report', 'on', 'results', 'of', 'an', 'observing', 'campaign', 'to', 'support', 'the', 'juno', 'mission', 'at', 'the', 'beginning', 'of', '2016', 'using', 'texes', 'texas', 'echelon', 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1,802.0938 | Apparent remote synchronization of amplitudes: a demodulation and
interference effect | A form of "remote synchronization" was recently described wherein amplitude
fluctuations across a ring of non-identical, non-linear electronic oscillators
become entrained into spatially-structured patterns. According to linear models
and mutual information, synchronization and causality dip at a certain
distance, then recover before eventually fading. Here, the underlying mechanism
is finally elucidated through novel experiments and simulations. The system
non-linearity is found to have a dual role: it supports chaotic dynamics, and
it enables energy exchange between the lower and higher sidebands of a
predominant frequency. This frequency acts as carrier signal in an arrangement
resembling standard amplitude modulation, wherein the lower sideband and the
demodulated baseband signals spectrally overlap. Due to a spatially-dependent
phase relationship, at a certain distance near-complete destructive
interference occurs between them, causing the observed dip. Methods suitable
for detecting non-trivial entrainment, such as transfer entropy and the
auxiliary system approach, nevertheless reveal that synchronization and
causality actually decrease with distance monotonically. Remoteness is,
therefore, arguably only apparent, as also reflected in the propagation of
external perturbations. These results demonstrate a complex mechanism of
dynamical interdependence, and exemplify how it can lead to incorrectly
inferring synchronization and causality.
| nlin.CD | a form of remote synchronization was recently described wherein amplitude fluctuations across a ring of nonidentical nonlinear electronic oscillators become entrained into spatiallystructured patterns according to linear models and mutual information synchronization and causality dip at a certain distance then recover before eventually fading here the underlying mechanism is finally elucidated through novel experiments and simulations the system nonlinearity is found to have a dual role it supports chaotic dynamics and it enables energy exchange between the lower and higher sidebands of a predominant frequency this frequency acts as carrier signal in an arrangement resembling standard amplitude modulation wherein the lower sideband and the demodulated baseband signals spectrally overlap due to a spatiallydependent phase relationship at a certain distance nearcomplete destructive interference occurs between them causing the observed dip methods suitable for detecting nontrivial entrainment such as transfer entropy and the auxiliary system approach nevertheless reveal that synchronization and causality actually decrease with distance monotonically remoteness is therefore arguably only apparent as also reflected in the propagation of external perturbations these results demonstrate a complex mechanism of dynamical interdependence and exemplify how it can lead to incorrectly inferring synchronization and causality | [['a', 'form', 'of', 'remote', 'synchronization', 'was', 'recently', 'described', 'wherein', 'amplitude', 'fluctuations', 'across', 'a', 'ring', 'of', 'nonidentical', 'nonlinear', 'electronic', 'oscillators', 'become', 'entrained', 'into', 'spatiallystructured', 'patterns', 'according', 'to', 'linear', 'models', 'and', 'mutual', 'information', 'synchronization', 'and', 'causality', 'dip', 'at', 'a', 'certain', 'distance', 'then', 'recover', 'before', 'eventually', 'fading', 'here', 'the', 'underlying', 'mechanism', 'is', 'finally', 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1,802.09381 | DropLasso: A robust variant of Lasso for single cell RNA-seq data | Single-cell RNA sequencing (scRNA-seq) is a fast growing approach to measure
the genome-wide transcriptome of many individual cells in parallel, but results
in noisy data with many dropout events. Existing methods to learn molecular
signatures from bulk transcriptomic data may therefore not be adapted to
scRNA-seq data, in order to automatically classify individual cells into
predefined classes. We propose a new method called DropLasso to learn a
molecular signature from scRNA-seq data. DropLasso extends the dropout
regularisation technique, popular in neural network training, to esti- mate
sparse linear models. It is well adapted to data corrupted by dropout noise,
such as scRNA-seq data, and we clarify how it relates to elastic net
regularisation. We provide promising results on simulated and real scRNA-seq
data, suggesting that DropLasso may be better adapted than standard regularisa-
tions to infer molecular signatures from scRNA-seq data.
| q-bio.QM cs.CV q-bio.GN stat.ML | singlecell rna sequencing scrnaseq is a fast growing approach to measure the genomewide transcriptome of many individual cells in parallel but results in noisy data with many dropout events existing methods to learn molecular signatures from bulk transcriptomic data may therefore not be adapted to scrnaseq data in order to automatically classify individual cells into predefined classes we propose a new method called droplasso to learn a molecular signature from scrnaseq data droplasso extends the dropout regularisation technique popular in neural network training to esti mate sparse linear models it is well adapted to data corrupted by dropout noise such as scrnaseq data and we clarify how it relates to elastic net regularisation we provide promising results on simulated and real scrnaseq data suggesting that droplasso may be better adapted than standard regularisa tions to infer molecular signatures from scrnaseq data | [['singlecell', 'rna', 'sequencing', 'scrnaseq', 'is', 'a', 'fast', 'growing', 'approach', 'to', 'measure', 'the', 'genomewide', 'transcriptome', 'of', 'many', 'individual', 'cells', 'in', 'parallel', 'but', 'results', 'in', 'noisy', 'data', 'with', 'many', 'dropout', 'events', 'existing', 'methods', 'to', 'learn', 'molecular', 'signatures', 'from', 'bulk', 'transcriptomic', 'data', 'may', 'therefore', 'not', 'be', 'adapted', 'to', 'scrnaseq', 'data', 'in', 'order', 'to', 'automatically', 'classify', 'individual', 'cells', 'into', 'predefined', 'classes', 'we', 'propose', 'a', 'new', 'method', 'called', 'droplasso', 'to', 'learn', 'a', 'molecular', 'signature', 'from', 'scrnaseq', 'data', 'droplasso', 'extends', 'the', 'dropout', 'regularisation', 'technique', 'popular', 'in', 'neural', 'network', 'training', 'to', 'esti', 'mate', 'sparse', 'linear', 'models', 'it', 'is', 'well', 'adapted', 'to', 'data', 'corrupted', 'by', 'dropout', 'noise', 'such', 'as', 'scrnaseq', 'data', 'and', 'we', 'clarify', 'how', 'it', 'relates', 'to', 'elastic', 'net', 'regularisation', 'we', 'provide', 'promising', 'results', 'on', 'simulated', 'and', 'real', 'scrnaseq', 'data', 'suggesting', 'that', 'droplasso', 'may', 'be', 'better', 'adapted', 'than', 'standard', 'regularisa', 'tions', 'to', 'infer', 'molecular', 'signatures', 'from', 'scrnaseq', 'data']] | [-0.0073329562271412995, 0.02052002335632486, -0.0776415290444025, 0.13839697642875504, -0.14330123824599597, -0.18322674488715296, 0.05460100593045354, 0.4218944037547252, -0.3177426511388538, -0.3118809979250987, 0.07622216188049476, -0.2788160199049993, -0.2093943796602876, 0.22173782625884217, -0.13905770067524698, 0.06979979105027659, 0.13204321864260626, -0.02085894394445599, 0.019579646036228433, -0.25095787612455234, 0.25465636142263454, 0.06432178084173107, 0.315049010821219, -0.04501945186140282, 0.09973697124182114, -0.05510369161077376, -0.08107918108248019, -0.007269516248821414, -0.10365980063491276, 0.14412340676145893, 0.33616607354272543, 0.2256441029819793, 0.27643706359501397, -0.44588764968461225, -0.2409630846631314, 0.1397777423611842, 0.16017408482065157, 0.16151021992055967, -0.025143868147694905, -0.3011842067220381, 0.10833584866819106, -0.11632040980538087, -0.034187198377081326, -0.1727753965699646, -0.054282271303236485, 0.02014383782682541, -0.3073175474103274, 0.09237754826234387, -0.027200063633167054, 0.07042414762711685, -0.04768522843618744, -0.11381925205101392, -0.01020833004731685, 0.12606645546454404, 0.06013380155366446, 0.08368489685900775, 0.17319986048221056, -0.07931426001180496, -0.12571715811001402, 0.32970023302893553, -0.06996080539590496, -0.21060425810781971, 0.22868539701615062, -0.07384400357425745, -0.19645995996792667, 0.14552689028371657, 0.22790174396941437, 0.04766517486506408, -0.20966198546895093, -0.01632811829331331, -0.010142367955995723, 0.172348366850721, 0.02414177083742938, -0.0056698796272810015, 0.14083657003273922, 0.21585851095317463, 0.00475127059949695, 0.09770253400950293, -0.15198440294147336, -0.04103548971470446, -0.15593369703606835, -0.10001933268171602, -0.19078572327271104, 0.029592944283441672, -0.07724389911475425, -0.16898319251174274, 0.31931933938259527, 0.19952692030430105, 0.24368587798838104, 0.06704542532679625, 0.33199665948216406, -0.02194000029287833, 0.19828814946106701, 0.036055606211136494, 0.10666327058071537, 0.06101992993582306, 0.1116532589342179, -0.15650707295197727, 0.08079813031446455, -0.030442254724247116] |
1,802.09382 | Global homotopy theory | This book introduces a new context for global homotopy theory, i.e.,
equivariant homotopy theory with universal symmetries. Many important
equivariant theories naturally exist not just for a particular group, but in a
uniform way for all groups in a specific class. Prominent examples are
equivariant stable homotopy, equivariant $K$-theory or equivariant bordism.
Global equivariant homotopy theory studies such uniform phenomena, i.e., the
adjective `global' refers to simultaneous and compatible actions of all compact
Lie groups.
We give a self-contained treatment of unstable and stable global homotopy
theory, modeled by orthogonal spaces respectively orthogonal spectra under
global equivalences. Specific topics include the global stable homotopy
category, operations on equivariant homotopy groups, global model structures,
and ultra-commutative multiplications. The book includes many explicit examples
and detailed calculations.
| math.AT | this book introduces a new context for global homotopy theory ie equivariant homotopy theory with universal symmetries many important equivariant theories naturally exist not just for a particular group but in a uniform way for all groups in a specific class prominent examples are equivariant stable homotopy equivariant ktheory or equivariant bordism global equivariant homotopy theory studies such uniform phenomena ie the adjective global refers to simultaneous and compatible actions of all compact lie groups we give a selfcontained treatment of unstable and stable global homotopy theory modeled by orthogonal spaces respectively orthogonal spectra under global equivalences specific topics include the global stable homotopy category operations on equivariant homotopy groups global model structures and ultracommutative multiplications the book includes many explicit examples and detailed calculations | [['this', 'book', 'introduces', 'a', 'new', 'context', 'for', 'global', 'homotopy', 'theory', 'ie', 'equivariant', 'homotopy', 'theory', 'with', 'universal', 'symmetries', 'many', 'important', 'equivariant', 'theories', 'naturally', 'exist', 'not', 'just', 'for', 'a', 'particular', 'group', 'but', 'in', 'a', 'uniform', 'way', 'for', 'all', 'groups', 'in', 'a', 'specific', 'class', 'prominent', 'examples', 'are', 'equivariant', 'stable', 'homotopy', 'equivariant', 'ktheory', 'or', 'equivariant', 'bordism', 'global', 'equivariant', 'homotopy', 'theory', 'studies', 'such', 'uniform', 'phenomena', 'ie', 'the', 'adjective', 'global', 'refers', 'to', 'simultaneous', 'and', 'compatible', 'actions', 'of', 'all', 'compact', 'lie', 'groups', 'we', 'give', 'a', 'selfcontained', 'treatment', 'of', 'unstable', 'and', 'stable', 'global', 'homotopy', 'theory', 'modeled', 'by', 'orthogonal', 'spaces', 'respectively', 'orthogonal', 'spectra', 'under', 'global', 'equivalences', 'specific', 'topics', 'include', 'the', 'global', 'stable', 'homotopy', 'category', 'operations', 'on', 'equivariant', 'homotopy', 'groups', 'global', 'model', 'structures', 'and', 'ultracommutative', 'multiplications', 'the', 'book', 'includes', 'many', 'explicit', 'examples', 'and', 'detailed', 'calculations']] | [-0.1786159362903075, 0.05610482459662542, -0.0731809207598769, 0.18315317619107513, -0.09962034247995864, -0.1843592075278021, 0.0031003925476163147, 0.37339451207005747, -0.3429542425118627, -0.22037121578825697, 0.1142029880823928, -0.17398874651342106, -0.17817130598667708, 0.16282086427541329, -0.20606944043256883, -0.014004005603642473, 0.04167605074302804, 0.09944274385399636, -0.10913247060624041, -0.20806664999338775, 0.41038732059044586, -0.025735699308795795, 0.27501073343506915, -0.01586220556008254, 0.08911082364225408, 5.597288479968425e-05, -0.0823616838916355, 0.014873701523268414, -0.14024840911095512, 0.1544661897407364, 0.3641173440302091, 0.02815596919672023, 0.1948230271011726, -0.416676712342568, -0.17693269266671832, 0.16081095187954844, 0.11895420350464841, 0.05847229554332913, -0.039307559196576254, -0.3027390014350174, 0.10489208715397023, -0.20319405602922122, -0.11899038725307272, -0.1967804555052651, 0.03945455240506318, 0.027617365827844027, -0.21114272330962722, -0.021959398199068083, 0.08763317657505995, 0.17691013580623538, -0.13051109580180398, -0.01760485614349525, -0.07925526310329235, 0.14128242499352764, 0.011764423207252196, -0.01087789524031142, 0.16512478786265297, -0.07036044976989468, -0.17451503367779114, 0.4170983334883086, -0.023102222391659575, -0.17549813630419872, 0.15702178741564915, -0.08891497522164436, -0.30357868291602863, 0.1640416016884809, 0.02875264992208911, 0.1854051232014993, -0.0029192345306998297, 0.19749669707943535, -0.10450873468371649, 0.08875193574368173, 0.05648048150338112, 0.030380281905132915, 0.16703160878481163, 0.08047992392300418, 0.11519455491291028, 0.05555626576495988, 0.09685042247245644, -0.1319343075696041, -0.346730183419441, -0.14363336743366334, 0.007817346856163273, 0.13527870874848655, -0.10990494511779322, -0.23050064437894993, 0.44040494175597783, 0.047901522234878355, 0.13193567067895445, 0.14753691147967812, 0.2650661315738915, -0.011900877938680951, 0.028796935746926936, 0.019852585121688825, 0.14052255528663554, 0.2448630450657689, -0.01027940531381436, -0.02600345356463109, -0.0861815350926331, 0.28550748967550577] |
1,802.09383 | Are Khovanov-Rozansky polynomials consistent with evolution in the space
of knots? | $R$-coloured knot polynomials for $m$-strand torus knots $Torus_{[m,n]}$ are
described by the Rosso-Jones formula, which is an example of evolution in $n$
with Lyapunov exponents, labelled by Young diagrams from $R^{\otimes m}$. This
means that they satisfy a finite-difference equation (recursion) of finite
degree. For the gauge group $SL(N)$ only diagrams with no more than $N$ lines
can contribute and the recursion degree is reduced. We claim that these
properties (evolution/recursion and reduction) persist for Khovanov-Rozansky
(KR) polynomials, obtained by additional factorization modulo $1+{\bf t}$,
which is not yet adequately described in quantum field theory. Also preserved
is some weakened version of differential expansion, which is responsible at
least for a simple relation between {\it reduced} and {\it unreduced} Khovanov
polynomials. However, in the KR case evolution is incompatible with the mirror
symmetry under the change $n\longrightarrow -n$, what can signal about an
ambiguity in the KR factorization even for torus knots. }
| hep-th math-ph math.GT math.MP | rcoloured knot polynomials for mstrand torus knots torus_mn are described by the rossojones formula which is an example of evolution in n with lyapunov exponents labelled by young diagrams from rotimes m this means that they satisfy a finitedifference equation recursion of finite degree for the gauge group sln only diagrams with no more than n lines can contribute and the recursion degree is reduced we claim that these properties evolutionrecursion and reduction persist for khovanovrozansky kr polynomials obtained by additional factorization modulo 1bf t which is not yet adequately described in quantum field theory also preserved is some weakened version of differential expansion which is responsible at least for a simple relation between it reduced and it unreduced khovanov polynomials however in the kr case evolution is incompatible with the mirror symmetry under the change nlongrightarrow n what can signal about an ambiguity in the kr factorization even for torus knots | [['rcoloured', 'knot', 'polynomials', 'for', 'mstrand', 'torus', 'knots', 'torus_mn', 'are', 'described', 'by', 'the', 'rossojones', 'formula', 'which', 'is', 'an', 'example', 'of', 'evolution', 'in', 'n', 'with', 'lyapunov', 'exponents', 'labelled', 'by', 'young', 'diagrams', 'from', 'rotimes', 'm', 'this', 'means', 'that', 'they', 'satisfy', 'a', 'finitedifference', 'equation', 'recursion', 'of', 'finite', 'degree', 'for', 'the', 'gauge', 'group', 'sln', 'only', 'diagrams', 'with', 'no', 'more', 'than', 'n', 'lines', 'can', 'contribute', 'and', 'the', 'recursion', 'degree', 'is', 'reduced', 'we', 'claim', 'that', 'these', 'properties', 'evolutionrecursion', 'and', 'reduction', 'persist', 'for', 'khovanovrozansky', 'kr', 'polynomials', 'obtained', 'by', 'additional', 'factorization', 'modulo', '1bf', 't', 'which', 'is', 'not', 'yet', 'adequately', 'described', 'in', 'quantum', 'field', 'theory', 'also', 'preserved', 'is', 'some', 'weakened', 'version', 'of', 'differential', 'expansion', 'which', 'is', 'responsible', 'at', 'least', 'for', 'a', 'simple', 'relation', 'between', 'it', 'reduced', 'and', 'it', 'unreduced', 'khovanov', 'polynomials', 'however', 'in', 'the', 'kr', 'case', 'evolution', 'is', 'incompatible', 'with', 'the', 'mirror', 'symmetry', 'under', 'the', 'change', 'nlongrightarrow', 'n', 'what', 'can', 'signal', 'about', 'an', 'ambiguity', 'in', 'the', 'kr', 'factorization', 'even', 'for', 'torus', 'knots']] | [-0.17655451592853447, 0.15476081026892644, -0.10893562065126995, 0.0909097968856804, -0.0763645433432733, -0.19932698462934545, -0.008964262690860779, 0.3521616918942891, -0.27942660729090374, -0.2864389873420199, 0.07480131873860955, -0.22657297976935903, -0.15501101611492535, 0.16539965571680418, -0.06125951345389088, -0.018287306663890678, 0.024014991954900325, 0.04012694985450556, -0.09337717809481547, -0.2729202184453607, 0.3073573489052554, 0.012987927084323019, 0.16460430377939095, 0.0037823180151948083, 0.06712204742555818, 0.005166115652148922, -0.013919573429351052, 0.008890762766823173, -0.11116876513900933, 0.07952188367334505, 0.2581089941474299, 0.08147779087225596, 0.12333665745022396, -0.3689255178471406, -0.15726335473824293, 0.12098507204869141, 0.19572468903226156, 0.03733617893808211, 0.005464769939717371, -0.23965064412448556, 0.1067498369794339, -0.1702346291845121, -0.18348726785198474, -0.07486408789021273, 0.06336501467895383, -0.017232970478168377, -0.23440227252275994, 0.05358525485867479, 0.0957593361226221, 0.1308898833518227, 0.023163340808823703, -0.12183363504707813, -0.04522535814593236, 0.0679670817249765, 0.014253179943189025, 0.04478873397844533, 0.052680494349915535, -0.16340372603852302, -0.10118021214691302, 0.36156505074352024, -0.0602948225341, -0.23730291221290828, 0.11755860870083173, -0.15849599809696277, -0.19659813246379296, 0.19705782862069707, -0.0013036934845149517, 0.12171339411909382, -0.08508893442029754, 0.13710748153942404, -0.09901400781236588, 0.16951570816027622, 0.12385848915204406, -0.002661111664492637, 0.1616583377122879, 0.03360503679451843, 0.03775403102238973, 0.1166542324256928, 0.03255435206927359, -0.09356488769253095, -0.33405185570940377, -0.18476160743894676, -0.1524144331086427, 0.09792908203797802, -0.1412409188991296, -0.12748558389178166, 0.31938809957665704, 0.07175528443418443, 0.16163033999619075, 0.08832328895300937, 0.21901513300215206, 0.16815005369794866, 0.09825295507907868, 0.10531506040443976, 0.14334271153842565, 0.2007303633587435, 0.04282984932263692, -0.1962041573645547, 0.05314033300926288, 0.17972719961156447] |
1,802.09384 | Using Curvilinear Features in Focus for Registering a Single Image to a
3D Object | In the context of 2D/3D registration, this paper introduces an approach that
allows to match features detected in two different modalities: photographs and
3D models, by using a common 2D reprensentation. More precisely, 2D images are
matched with a set of depth images, representing the 3D model. After
introducing the concept of curvilinear saliency, related to curvature
estimation, we propose a new ridge and valley detector for depth images
rendered from 3D model. A variant of this detector is adapted to photographs,
in particular by applying it in multi-scale and by combining this feature
detector with the principle of focus curves. Finally, a registration algorithm
for determining the correct viewpoint of the 3D model and thus the pose is
proposed. It is based on using histogram of gradients features adapted to the
features manipulated in 2D and in 3D, and the introduction of repeatability
scores. The results presented highlight the quality of the features detected,
in term of repeatability, and also the interest of the approach for
registration and pose estimation.
| cs.CV | in the context of 2d3d registration this paper introduces an approach that allows to match features detected in two different modalities photographs and 3d models by using a common 2d reprensentation more precisely 2d images are matched with a set of depth images representing the 3d model after introducing the concept of curvilinear saliency related to curvature estimation we propose a new ridge and valley detector for depth images rendered from 3d model a variant of this detector is adapted to photographs in particular by applying it in multiscale and by combining this feature detector with the principle of focus curves finally a registration algorithm for determining the correct viewpoint of the 3d model and thus the pose is proposed it is based on using histogram of gradients features adapted to the features manipulated in 2d and in 3d and the introduction of repeatability scores the results presented highlight the quality of the features detected in term of repeatability and also the interest of the approach for registration and pose estimation | [['in', 'the', 'context', 'of', '2d3d', 'registration', 'this', 'paper', 'introduces', 'an', 'approach', 'that', 'allows', 'to', 'match', 'features', 'detected', 'in', 'two', 'different', 'modalities', 'photographs', 'and', '3d', 'models', 'by', 'using', 'a', 'common', '2d', 'reprensentation', 'more', 'precisely', '2d', 'images', 'are', 'matched', 'with', 'a', 'set', 'of', 'depth', 'images', 'representing', 'the', '3d', 'model', 'after', 'introducing', 'the', 'concept', 'of', 'curvilinear', 'saliency', 'related', 'to', 'curvature', 'estimation', 'we', 'propose', 'a', 'new', 'ridge', 'and', 'valley', 'detector', 'for', 'depth', 'images', 'rendered', 'from', '3d', 'model', 'a', 'variant', 'of', 'this', 'detector', 'is', 'adapted', 'to', 'photographs', 'in', 'particular', 'by', 'applying', 'it', 'in', 'multiscale', 'and', 'by', 'combining', 'this', 'feature', 'detector', 'with', 'the', 'principle', 'of', 'focus', 'curves', 'finally', 'a', 'registration', 'algorithm', 'for', 'determining', 'the', 'correct', 'viewpoint', 'of', 'the', '3d', 'model', 'and', 'thus', 'the', 'pose', 'is', 'proposed', 'it', 'is', 'based', 'on', 'using', 'histogram', 'of', 'gradients', 'features', 'adapted', 'to', 'the', 'features', 'manipulated', 'in', '2d', 'and', 'in', '3d', 'and', 'the', 'introduction', 'of', 'repeatability', 'scores', 'the', 'results', 'presented', 'highlight', 'the', 'quality', 'of', 'the', 'features', 'detected', 'in', 'term', 'of', 'repeatability', 'and', 'also', 'the', 'interest', 'of', 'the', 'approach', 'for', 'registration', 'and', 'pose', 'estimation']] | [-0.0012976086171179572, -0.003111283294086153, -0.09155126252992297, 0.0255514442715246, -0.026160351104815217, -0.1493721774652573, -0.024007189180017176, 0.4172642967061085, -0.2619309235857252, -0.35310160044361566, 0.09213274540722041, -0.26904098594378034, -0.19557252103216288, 0.1866431401165969, -0.1391705591368544, 0.09080502206377467, 0.09389214363333903, -0.004287553608746213, -0.09349467183655018, -0.20134637218023485, 0.32759876880685196, 0.04903384010471842, 0.3128735044587623, 0.016491266548195306, 0.1430743295863709, 0.01522716792738613, -0.08292980036588714, 0.06872595474123955, -0.08234204806764918, 0.20599808085655028, 0.24759679060689985, 0.15142276150256614, 0.23713498536278219, -0.40944083654047814, -0.2299947523580426, 0.029899544466067764, 0.10214990979224882, 0.11188096486388104, -0.0662394763680127, -0.3525906807195176, 0.08172194127897349, -0.09566845174413174, -0.06467854823533664, -0.07445494176011862, -0.03380381551310968, -0.03486309160533197, -0.27755223835393894, 0.0690432830588714, 0.059824703720069546, 0.0736545501222067, -0.07604764200565542, -0.05750093566654387, -0.0033134625526145102, 0.15472451390506808, 0.0011103230850387585, 0.04404728092417559, 0.09519162276650177, -0.2103262609706315, -0.1078114048084792, 0.4005433910581119, -0.05077173185760758, -0.24317398658570122, 0.17144042058053482, -0.08529040892060627, -0.09388351212392616, 0.13591545573709643, 0.1942456479430856, 0.1380785944241592, -0.160820485903498, 0.008204613705439602, -0.03616763073951006, 0.1618807414868463, 0.04211605479119017, -0.008565083228270797, 0.21325131057597257, 0.20192574316717904, 0.022619097142973367, 0.16889881804955248, -0.22840555899858694, -0.02396613640628536, -0.2628419013091308, -0.15839422891080818, -0.20301936810206184, -0.06790192072307143, -0.08655836501309429, -0.1600095352541436, 0.46338253976667626, 0.23979511545861468, 0.2460036148728036, 0.041557923589340025, 0.3401359840981005, 0.05987935493065058, 0.09461406683515045, 0.016100069068317464, 0.20115767779540927, 0.0368523422998431, 0.09316828563151991, -0.1601211565272773, 0.06227702444474049, 0.10692551933119403] |
1,802.09385 | Sharp estimates of the spherical heat kernel | We prove sharp two-sided global estimates for the heat kernel associated with
a Euclidean sphere of arbitrary dimension. This solves a long-standing open
problem.
| math.CA | we prove sharp twosided global estimates for the heat kernel associated with a euclidean sphere of arbitrary dimension this solves a longstanding open problem | [['we', 'prove', 'sharp', 'twosided', 'global', 'estimates', 'for', 'the', 'heat', 'kernel', 'associated', 'with', 'a', 'euclidean', 'sphere', 'of', 'arbitrary', 'dimension', 'this', 'solves', 'a', 'longstanding', 'open', 'problem']] | [-0.12854938728075163, 0.03790629038121551, -0.012970736948773265, 0.14047902517389352, -0.09330265974858776, -0.18786119821015745, 0.044283888642288126, 0.3261594582969944, -0.34433297665479284, -0.19067172248226902, 0.18842468284613764, -0.272620265915369, -0.10460449776534612, 0.22538746047454575, -0.1317066584403316, 0.14320777131554982, 0.1030663646524772, 0.08565548465897639, -0.10113671713043004, -0.20508632040582597, 0.36782664607744664, -0.04441091623933365, 0.17764894602199396, 0.14630656029718617, 0.1762916730173553, 0.003604166529081946, -0.06135708328414088, 0.03037638548994437, -0.24209730279593109, 0.20578806319099385, 0.22204929559181133, 0.0263448276091367, 0.3069714196026325, -0.3859316903787355, -0.25670435070060194, 0.2175878461372728, 0.12498146924190223, 0.04078546798943231, -0.08442000832292251, -0.23721616032222906, 0.06562811182811856, -0.018873624387197196, -0.29420997204336646, 0.012670900012987355, -0.0037681186416496835, -0.08032235666178167, -0.3176103256798039, 0.14724483455453688, 0.15095718538699052, 0.007572316273581237, -0.16451483188817898, -0.06650199222106797, 0.13192492816597223, 0.10667793359122395, -0.026010313304141164, 0.11932237992004957, 0.018739596222682547, -0.09064041954115964, -0.13434876703346768, 0.2573390571827379, -0.04833712688802431, -0.2902090397352974, 0.14013318670913577, -0.14819232374429703, -0.12082189791059743, 0.0705762270760412, 0.1436777854784547, 0.10450254733829449, -0.11636384956849118, 0.2399712117621675, -0.19490673947924128, 0.11395367709822797, 0.10902164034390201, -0.02696240833029151, 0.10563368334745367, 0.1090222926189502, 0.2414726906378443, 0.2499705284523467, -0.04075000474404078, -0.08770656950461368, -0.32338785018752486, -0.22280840307939798, -0.17815550059701005, 0.14248450535039106, -0.16748368237555647, -0.24690276997474334, 0.3257589132214586, 0.051162391260731965, 0.24827724607894197, 0.0943333746981807, 0.259857268538326, 0.14570886133393893, -0.019658482951551075, 0.2370093425658221, 0.08390550874173641, 0.15756083078061542, 0.05069660170314213, -0.2291498122892032, -0.022991453200423468, 0.23989174716795483] |
1,802.09386 | Learning Anonymized Representations with Adversarial Neural Networks | Statistical methods protecting sensitive information or the identity of the
data owner have become critical to ensure privacy of individuals as well as of
organizations. This paper investigates anonymization methods based on
representation learning and deep neural networks, and motivated by novel
information theoretical bounds. We introduce a novel training objective for
simultaneously training a predictor over target variables of interest (the
regular labels) while preventing an intermediate representation to be
predictive of the private labels. The architecture is based on three
sub-networks: one going from input to representation, one from representation
to predicted regular labels, and one from representation to predicted private
labels. The training procedure aims at learning representations that preserve
the relevant part of the information (about regular labels) while dismissing
information about the private labels which correspond to the identity of a
person. We demonstrate the success of this approach for two distinct
classification versus anonymization tasks (handwritten digits and sentiment
analysis).
| stat.ML cs.CR cs.LG | statistical methods protecting sensitive information or the identity of the data owner have become critical to ensure privacy of individuals as well as of organizations this paper investigates anonymization methods based on representation learning and deep neural networks and motivated by novel information theoretical bounds we introduce a novel training objective for simultaneously training a predictor over target variables of interest the regular labels while preventing an intermediate representation to be predictive of the private labels the architecture is based on three subnetworks one going from input to representation one from representation to predicted regular labels and one from representation to predicted private labels the training procedure aims at learning representations that preserve the relevant part of the information about regular labels while dismissing information about the private labels which correspond to the identity of a person we demonstrate the success of this approach for two distinct classification versus anonymization tasks handwritten digits and sentiment analysis | [['statistical', 'methods', 'protecting', 'sensitive', 'information', 'or', 'the', 'identity', 'of', 'the', 'data', 'owner', 'have', 'become', 'critical', 'to', 'ensure', 'privacy', 'of', 'individuals', 'as', 'well', 'as', 'of', 'organizations', 'this', 'paper', 'investigates', 'anonymization', 'methods', 'based', 'on', 'representation', 'learning', 'and', 'deep', 'neural', 'networks', 'and', 'motivated', 'by', 'novel', 'information', 'theoretical', 'bounds', 'we', 'introduce', 'a', 'novel', 'training', 'objective', 'for', 'simultaneously', 'training', 'a', 'predictor', 'over', 'target', 'variables', 'of', 'interest', 'the', 'regular', 'labels', 'while', 'preventing', 'an', 'intermediate', 'representation', 'to', 'be', 'predictive', 'of', 'the', 'private', 'labels', 'the', 'architecture', 'is', 'based', 'on', 'three', 'subnetworks', 'one', 'going', 'from', 'input', 'to', 'representation', 'one', 'from', 'representation', 'to', 'predicted', 'regular', 'labels', 'and', 'one', 'from', 'representation', 'to', 'predicted', 'private', 'labels', 'the', 'training', 'procedure', 'aims', 'at', 'learning', 'representations', 'that', 'preserve', 'the', 'relevant', 'part', 'of', 'the', 'information', 'about', 'regular', 'labels', 'while', 'dismissing', 'information', 'about', 'the', 'private', 'labels', 'which', 'correspond', 'to', 'the', 'identity', 'of', 'a', 'person', 'we', 'demonstrate', 'the', 'success', 'of', 'this', 'approach', 'for', 'two', 'distinct', 'classification', 'versus', 'anonymization', 'tasks', 'handwritten', 'digits', 'and', 'sentiment', 'analysis']] | [-0.03869281510392634, -0.022683077846196307, -0.07162948985858701, 0.09610843049430957, -0.13867095718757275, -0.21254487607317665, 0.10698323223056296, 0.37569422483778536, -0.3074063784442842, -0.3264447712243941, 0.1039082004979905, -0.3251423739398328, -0.15711350118605574, 0.14046509142290467, -0.14926978291194432, 0.07206917806074788, 0.10047685209279641, 0.13869514970634228, -0.04922528748358719, -0.30002220999897244, 0.35634340998979336, -0.003405490760484006, 0.3454406047807051, 0.003025316161652788, 0.13756078410033995, -0.0026940396503330423, -0.06588359222036953, -0.04955549848576387, -0.0376265364095441, 0.21555825603158715, 0.336905759829395, 0.2354872102687995, 0.3604370349024136, -0.38271717257940996, -0.17064921074928954, 0.10680649841490847, 0.14837926384121275, 0.13654049606889318, -0.012019034118379634, -0.3650585069941978, 0.09748130449905801, -0.1671742511396774, 0.020762352032574993, -0.14421792288358587, -0.030479534102293353, -0.03909451081581677, -0.3148672833489493, 0.01687613004376031, 0.07417246902612253, 0.11279516766229883, -0.06418315381951964, -0.11895159762561655, -0.003644914336454792, 0.23373868035074943, 0.0783327456305508, 0.02668823514921734, 0.13479804415673685, -0.21579181056362218, -0.140484051217731, 0.3393756620203837, 0.00876531588176313, -0.19557808347058314, 0.15634194680023938, -0.04958220042783815, -0.171973439579746, 0.09641357008009575, 0.23616056547139008, 0.09125405275979294, -0.18239158411056566, -0.020452523046585087, -0.04015528119634837, 0.18741228122440262, 0.053863106140245996, 0.03845073082723106, 0.20746570505583897, 0.21651605022354767, 0.04776247073030577, 0.11247299007775907, -0.09391529292751773, -0.06176398035126905, -0.22410926808459827, -0.11348897220196728, -0.23273734296582496, -0.0011293174787006604, -0.10507068389881916, -0.1569265331468509, 0.4213125010809073, 0.2166484031193436, 0.23255949534583265, 0.11083882453758867, 0.3594382434235647, 0.00364334538178996, 0.12962362580658057, 0.12776180417150057, 0.12730181064361182, 0.04351455256348858, 0.09519991548418497, -0.12638699034831893, 0.14867245722771025, 0.07026266376189409] |
1,802.09387 | Estimating Precipitation Extremes using Log-Histospline | One of the commonly used approaches to modeling extremes is the
peaks-over-threshold (POT) method. The POT method models exceedances over a
threshold that is sufficiently high or low so that the exceedance has
approximately a generalized Pareto distribution (GPD). This method requires the
selection of a threshold that might affect the estimates. Here we propose an
alternative method, the Log-Histospline (LHSpline), to explore modeling the
tail behavior and the remainder of the density in one step using the full range
of the data. LHSpline applies a smoothing spline model to a finely binned
histogram of the log transformed data to estimate its log density. By
construction, a LHSpline estimation is constrained to have polynomial tail
behavior, a feature commonly observed in daily rainfall observations. We
illustrate the LHSpline method by analyzing precipitation data collected in
Houston, Texas.
| stat.ME | one of the commonly used approaches to modeling extremes is the peaksoverthreshold pot method the pot method models exceedances over a threshold that is sufficiently high or low so that the exceedance has approximately a generalized pareto distribution gpd this method requires the selection of a threshold that might affect the estimates here we propose an alternative method the loghistospline lhspline to explore modeling the tail behavior and the remainder of the density in one step using the full range of the data lhspline applies a smoothing spline model to a finely binned histogram of the log transformed data to estimate its log density by construction a lhspline estimation is constrained to have polynomial tail behavior a feature commonly observed in daily rainfall observations we illustrate the lhspline method by analyzing precipitation data collected in houston texas | [['one', 'of', 'the', 'commonly', 'used', 'approaches', 'to', 'modeling', 'extremes', 'is', 'the', 'peaksoverthreshold', 'pot', 'method', 'the', 'pot', 'method', 'models', 'exceedances', 'over', 'a', 'threshold', 'that', 'is', 'sufficiently', 'high', 'or', 'low', 'so', 'that', 'the', 'exceedance', 'has', 'approximately', 'a', 'generalized', 'pareto', 'distribution', 'gpd', 'this', 'method', 'requires', 'the', 'selection', 'of', 'a', 'threshold', 'that', 'might', 'affect', 'the', 'estimates', 'here', 'we', 'propose', 'an', 'alternative', 'method', 'the', 'loghistospline', 'lhspline', 'to', 'explore', 'modeling', 'the', 'tail', 'behavior', 'and', 'the', 'remainder', 'of', 'the', 'density', 'in', 'one', 'step', 'using', 'the', 'full', 'range', 'of', 'the', 'data', 'lhspline', 'applies', 'a', 'smoothing', 'spline', 'model', 'to', 'a', 'finely', 'binned', 'histogram', 'of', 'the', 'log', 'transformed', 'data', 'to', 'estimate', 'its', 'log', 'density', 'by', 'construction', 'a', 'lhspline', 'estimation', 'is', 'constrained', 'to', 'have', 'polynomial', 'tail', 'behavior', 'a', 'feature', 'commonly', 'observed', 'in', 'daily', 'rainfall', 'observations', 'we', 'illustrate', 'the', 'lhspline', 'method', 'by', 'analyzing', 'precipitation', 'data', 'collected', 'in', 'houston', 'texas']] | [-0.02780377260376768, 0.06371244447580145, -0.17844403591280913, 0.1298012543882257, -0.04678181908264592, -0.09651398407089908, 0.05158794002593769, 0.3683099900920163, -0.2466650462216314, -0.3140337236520067, 0.1274634497385705, -0.27902486775179997, -0.11119005195531131, 0.16888813081758974, -0.071779027735294, 0.0732330446716172, 0.0280172093266361, 0.0016272087266449543, -0.051780608427875185, -0.23209995162837646, 0.25919341484447667, 0.1049123282008462, 0.32164006060852174, -0.008331198522629327, 0.1276176754232866, -0.007624362139562008, -0.051100113916618284, -0.02165464889805983, -0.12455829563254263, 0.13274311420151635, 0.25999018838167426, 0.15730840338202304, 0.31670661680126455, -0.3465991351780865, -0.232198391446753, 0.12185782850172151, 0.1225334189914386, 0.04395204715375953, 0.0034313179134829517, -0.23165654158219695, 0.057403919465072895, -0.17652579820359654, -0.1525743843830081, -0.06140085693914443, -0.012580674357356174, 0.03392246996073107, -0.33153333948404695, 0.08157909592367052, 0.016425130279351247, 0.04420360872138511, -0.021519198182538862, -0.13677072913988547, 0.011591002447804546, 0.06375509735902168, 0.03547785479852738, 0.006634117487598868, 0.13474493231008047, -0.10867496773853953, -0.05088112300333759, 0.3231355983024353, -0.09774214146412252, -0.16056072292849422, 0.12840637314537376, -0.14363316220560057, -0.12837577167973743, 0.14721472058719134, 0.19939819614313925, 0.13210084616816054, -0.16835470264092744, 0.04293640186434084, -0.042201532710083374, 0.1686650045106516, 0.05180369570221314, -0.07865376549564056, 0.14886476476128926, 0.2037435027784394, 0.07096055755220518, 0.1119469059186111, -0.2015993812614504, -0.06967202285715543, -0.275801717522828, -0.0981147806675889, -0.20663745130877942, -0.025569386857301545, -0.11756037704649583, -0.17700239870806828, 0.40040417366852876, 0.18549341947329914, 0.24034003700430998, 0.07247609356315532, 0.3064141584669842, 0.15795125802704954, 0.06077218671699109, 0.06449743273654296, 0.156281513894689, 0.0655746317900005, 0.09014876107668147, -0.17807801337981158, 0.13519563610658653, 0.054201779522426316] |
1,802.09388 | Bayesian Sample Size Determination for Planning Hierarchical Bayes Small
Area Estimates | This paper devises a fully Bayesian sample size determination method for
hierarchical model-based small area estimation with a decision risk approach. A
new loss function specified around a desired maximum posterior variance target
implements conventional official statistics criteria of estimator reliability
(coefficient of variation of up to 20 per cent). This approach comes with an
efficient binary search algorithm identifying the minimum effective sample size
needed to produce small area estimates under this threshold constraint.
Traditional survey sampling design tools can then be used to plan appropriate
data collection using the resulting effective sample size target. This approach
is illustrated in a case study on small area prevalence of life limiting health
problems for 6 age groups across 1,956 small areas in Northern England, using
the recently developed Integrated Nested Laplace Approximation method for
spatial generalised linear mixed hierarchical models.
| stat.ME | this paper devises a fully bayesian sample size determination method for hierarchical modelbased small area estimation with a decision risk approach a new loss function specified around a desired maximum posterior variance target implements conventional official statistics criteria of estimator reliability coefficient of variation of up to 20 per cent this approach comes with an efficient binary search algorithm identifying the minimum effective sample size needed to produce small area estimates under this threshold constraint traditional survey sampling design tools can then be used to plan appropriate data collection using the resulting effective sample size target this approach is illustrated in a case study on small area prevalence of life limiting health problems for 6 age groups across 1956 small areas in northern england using the recently developed integrated nested laplace approximation method for spatial generalised linear mixed hierarchical models | [['this', 'paper', 'devises', 'a', 'fully', 'bayesian', 'sample', 'size', 'determination', 'method', 'for', 'hierarchical', 'modelbased', 'small', 'area', 'estimation', 'with', 'a', 'decision', 'risk', 'approach', 'a', 'new', 'loss', 'function', 'specified', 'around', 'a', 'desired', 'maximum', 'posterior', 'variance', 'target', 'implements', 'conventional', 'official', 'statistics', 'criteria', 'of', 'estimator', 'reliability', 'coefficient', 'of', 'variation', 'of', 'up', 'to', '20', 'per', 'cent', 'this', 'approach', 'comes', 'with', 'an', 'efficient', 'binary', 'search', 'algorithm', 'identifying', 'the', 'minimum', 'effective', 'sample', 'size', 'needed', 'to', 'produce', 'small', 'area', 'estimates', 'under', 'this', 'threshold', 'constraint', 'traditional', 'survey', 'sampling', 'design', 'tools', 'can', 'then', 'be', 'used', 'to', 'plan', 'appropriate', 'data', 'collection', 'using', 'the', 'resulting', 'effective', 'sample', 'size', 'target', 'this', 'approach', 'is', 'illustrated', 'in', 'a', 'case', 'study', 'on', 'small', 'area', 'prevalence', 'of', 'life', 'limiting', 'health', 'problems', 'for', '6', 'age', 'groups', 'across', '1956', 'small', 'areas', 'in', 'northern', 'england', 'using', 'the', 'recently', 'developed', 'integrated', 'nested', 'laplace', 'approximation', 'method', 'for', 'spatial', 'generalised', 'linear', 'mixed', 'hierarchical', 'models']] | [-0.028772377963676782, 0.040041207120624936, -0.07399194846594973, 0.10933074660798801, -0.09464823835795479, -0.12686922784029905, 0.12223187571591032, 0.3658853610362192, -0.2534917453037841, -0.4030553490987846, 0.11849428251152858, -0.23478138715560948, -0.10995271344935255, 0.19374619134801574, -0.130096821882762, 0.1050756781416047, 0.09789128955453634, -0.005356223151154284, -0.05269950158960585, -0.2901638836333794, 0.2291320792748593, 0.10194495836871544, 0.35452207107695616, -0.031883477997117944, 0.11540830467711202, 0.03858407127253096, -0.07880544458582465, 0.03436699706113099, -0.1454958406127324, 0.16258943817561625, 0.30463690426916273, 0.18096785479075542, 0.36890525333583357, -0.3138400730203492, -0.19286374290407235, 0.12030497456767729, 0.1417737218509761, 0.0764871285263715, -0.036916360446152145, -0.24400480598560534, 0.08091855057116065, -0.2081312408471214, -0.17181094714407144, -0.04256091833979424, -0.008797560193176781, -0.019320758809668145, -0.3167031131917611, 0.10065821246701359, 0.0012043273259353426, 0.08902417886337, -0.047901906152921066, -0.17463616003348892, 0.037433643111892574, 0.10540006965831188, -0.0042614032863639295, 0.01896302914995301, 0.16196352515835316, -0.07426384795856263, -0.08202455213675941, 0.2900952237192541, -0.034598488340686476, -0.19404386583649155, 0.11573744155050787, -0.08378900208710027, -0.1508754848386161, 0.1648709890607279, 0.2721367128193378, 0.1303092884032854, -0.22452345568370738, 0.039832927336517186, -0.010954491929650041, 0.19654090415154185, 0.0456415752131891, -0.034372564761516906, 0.17236427497783943, 0.24131965496011876, 0.11667081884640668, 0.15497861765907145, -0.1590938286772663, -0.10208852996500874, -0.2614970841578075, -0.09775047015864402, -0.17778827959804663, -0.004038768606759341, -0.15209738526110803, -0.18867166670222235, 0.3500059884839824, 0.15739503803030988, 0.13753674618533945, 0.11412471411230009, 0.3236888205748983, 0.10515478300595922, 0.08755478222880941, 0.08206276193460715, 0.15043611972193632, 0.09945395587752241, 0.05982699899801186, -0.16506848307492744, 0.09692960332280823, 0.041107019973320086] |
1,802.09389 | On the strong separation conjecture | This paper contains a partial result on the Pierce--Birkhoff conjecture on
piece-wise polynomial functions defined by a finite collection {f 1,. .., f r}
of polynomials. In the nineteen eighties, generalizing the problem from the
polynomial ring to an artibtrary ring $\Sigma$, J. Madden proved that the
Pierce--Birkhoff conjecture for $\Sigma$ is equivalent to a statement about an
arbitrary pair of points $\alpha$, $\beta$ $\in$ Sper $\Sigma$ and their
separating ideal < $\alpha$, $\beta$ >, we refer to this statement as the local
Pierce-Birkhoff conjecture at $\alpha$, $\beta$. In [8] we introduced a
slightly stronger conjecture, also stated for a pair of points $\alpha$,
$\beta$ $\in$ Sper $\Sigma$ and the separating ideal < $\alpha$, $\beta$ >,
called the Connectedness conjecture, about a finite collection of elements {f
1, . . ., fr} $\subset$ $\Sigma$. In the paper [10] we introduced a new
conjecture, called the Strong Connectednessconjecture, and proved that the
Strong Connectedness conjecture in dimension n--1 implies the Strong
Connectedness conjecture in dimension n in the case when ht(< $\alpha$, $\beta$
>) $\le$ n -- 1.The Pierce-Birkhoff Conjecture for r = 2 is equivalent to the
Connectedness Conjecture for r = 1, this conjecture is called the Separation
Conjecture. The Strong Connectedness Conjecture for r = 1 is called the Strong
Separation Conjecture. In the present paper, we fix a polynomial f $\in$ R[x,
z] where R is a real closed field and x = (x1, . . ., xn), z are n + 1
independent variables. We define the notion of two points $\alpha$, $\beta$
$\in$ Sper R[x, z] being in good position with respect to f. The main result of
this paper is a proof of the Strong Separation Conjecture in the case when
$\alpha$ and $\beta$ are in good position with respect to f.
| math.AG | this paper contains a partial result on the piercebirkhoff conjecture on piecewise polynomial functions defined by a finite collection f 1 f r of polynomials in the nineteen eighties generalizing the problem from the polynomial ring to an artibtrary ring sigma j madden proved that the piercebirkhoff conjecture for sigma is equivalent to a statement about an arbitrary pair of points alpha beta in sper sigma and their separating ideal alpha beta we refer to this statement as the local piercebirkhoff conjecture at alpha beta in 8 we introduced a slightly stronger conjecture also stated for a pair of points alpha beta in sper sigma and the separating ideal alpha beta called the connectedness conjecture about a finite collection of elements f 1 fr subset sigma in the paper 10 we introduced a new conjecture called the strong connectednessconjecture and proved that the strong connectedness conjecture in dimension n1 implies the strong connectedness conjecture in dimension n in the case when ht alpha beta le n 1the piercebirkhoff conjecture for r 2 is equivalent to the connectedness conjecture for r 1 this conjecture is called the separation conjecture the strong connectedness conjecture for r 1 is called the strong separation conjecture in the present paper we fix a polynomial f in rx z where r is a real closed field and x x1 xn z are n 1 independent variables we define the notion of two points alpha beta in sper rx z being in good position with respect to f the main result of this paper is a proof of the strong separation conjecture in the case when alpha and beta are in good position with respect to f | [['this', 'paper', 'contains', 'a', 'partial', 'result', 'on', 'the', 'piercebirkhoff', 'conjecture', 'on', 'piecewise', 'polynomial', 'functions', 'defined', 'by', 'a', 'finite', 'collection', 'f', '1', 'f', 'r', 'of', 'polynomials', 'in', 'the', 'nineteen', 'eighties', 'generalizing', 'the', 'problem', 'from', 'the', 'polynomial', 'ring', 'to', 'an', 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1,802.0939 | On the first critical field in the 3D Ginzburg-Landau model of
superconductivity | The Ginzburg-Landau model is a phenomenological description of
superconductivity. A crucial feature of type-II superconductors is the
occurrence of vortices, which appear above a certain value of the applied
magnetic field called the first critical field. In this paper we estimate this
value, when the Ginzburg-Landau parameter is large, and we characterize the
behavior of the Meissner solution, the unique vortexless configuration that
globally minimizes the Ginzburg-Landau energy below the first critical field.
In addition, we show that beyond this value, for a certain range of the
strength of the applied field, there exists a unique Meissner-type solution
that locally minimizes the energy.
| math.AP math-ph math.MP | the ginzburglandau model is a phenomenological description of superconductivity a crucial feature of typeii superconductors is the occurrence of vortices which appear above a certain value of the applied magnetic field called the first critical field in this paper we estimate this value when the ginzburglandau parameter is large and we characterize the behavior of the meissner solution the unique vortexless configuration that globally minimizes the ginzburglandau energy below the first critical field in addition we show that beyond this value for a certain range of the strength of the applied field there exists a unique meissnertype solution that locally minimizes the energy | [['the', 'ginzburglandau', 'model', 'is', 'a', 'phenomenological', 'description', 'of', 'superconductivity', 'a', 'crucial', 'feature', 'of', 'typeii', 'superconductors', 'is', 'the', 'occurrence', 'of', 'vortices', 'which', 'appear', 'above', 'a', 'certain', 'value', 'of', 'the', 'applied', 'magnetic', 'field', 'called', 'the', 'first', 'critical', 'field', 'in', 'this', 'paper', 'we', 'estimate', 'this', 'value', 'when', 'the', 'ginzburglandau', 'parameter', 'is', 'large', 'and', 'we', 'characterize', 'the', 'behavior', 'of', 'the', 'meissner', 'solution', 'the', 'unique', 'vortexless', 'configuration', 'that', 'globally', 'minimizes', 'the', 'ginzburglandau', 'energy', 'below', 'the', 'first', 'critical', 'field', 'in', 'addition', 'we', 'show', 'that', 'beyond', 'this', 'value', 'for', 'a', 'certain', 'range', 'of', 'the', 'strength', 'of', 'the', 'applied', 'field', 'there', 'exists', 'a', 'unique', 'meissnertype', 'solution', 'that', 'locally', 'minimizes', 'the', 'energy']] | [-0.20346425126979847, 0.12253784480513913, -0.06669462704569987, 0.07612993757212812, -0.07415093820874054, -0.07161747009060022, 0.07404431075867413, 0.29394274038991125, -0.26533356451862816, -0.25747307136396663, 0.0696412955496073, -0.2368275989308068, -0.16375864486009492, 0.16779771202133212, -0.008415627302509724, 0.015994256731159617, -0.03314095557584326, 0.1005143723404496, -0.06123775552893703, -0.17803256424480476, 0.3818374412908855, -0.014064938761293888, 0.32934294942084075, 0.07399032249272165, 0.08722704471697533, -0.02318104871521049, 0.1381867709615738, 0.09286805884082719, -0.2128907597639182, 0.0683753704214192, 0.2266294213592785, 0.0448422995165433, 0.2957024147162343, -0.35602700228959616, -0.229665993436212, 0.15557288881022446, 0.12189592127826544, 0.13038473205046155, -0.05598845237884486, -0.22340467339842626, 0.10995262593381327, -0.11364898774173517, -0.15825269295658806, -0.06642195091831803, 0.007704198069981124, 0.021224105663800445, -0.29191433614417267, 0.0723531099110104, 0.048736149777132684, 0.048554673643395455, -0.142797937091108, -0.07352775381647493, -0.007639094979714344, 0.06499098353739137, 0.08755498045264734, 0.09898806209814283, 0.09672038189347575, -0.20579780287819333, -0.04900726682441955, 0.35750048286696473, -0.08191713250454256, -0.12186192829475397, 0.1162993710506523, -0.15362186394263022, -0.07786234953247084, 0.15913549404923277, 0.1206128646038694, 0.12545340054087561, -0.1468785553140448, 0.11409089251336098, -0.07375214732076862, 0.1849523453539846, 0.0016041634290820301, -0.006001975193693496, 0.21449676456649114, 0.21806703648751252, 0.10966118116226822, 0.12966822830056496, -0.12918333100652932, -0.09806272535962929, -0.394666378570739, -0.18582782413958027, -0.2115919961165268, 0.048379092569472176, -0.08258646855832165, -0.2146613176238935, 0.4280427983860568, 0.230696045385563, 0.20035670771226655, -0.0035786172547977012, 0.21178328313537423, 0.1826727366867927, 0.0716272984345508, 0.07613283035686554, 0.2863555268319969, 0.11879868692451037, 0.115885177235889, -0.24975495801611555, 0.015142740316961034, 0.052216780535637004] |
1,802.09391 | Technical Report for "Incentivizing Wi-Fi Network Crowdsourcing: A
Contract Theoretic Approach" | Crowdsourced wireless community network enables individual users to share
their private Wi-Fi access points (APs) with each other, hence can achieve a
large Wi-Fi coverage with a small deployment cost via crowdsourcing. This paper
presents a novel contract-based incentive framework to incentivize such a Wi-Fi
network crowdsourcing under incomplete information (where each user has certain
private information such as mobility pattern and Wi-Fi access quality). In the
proposed framework, the network operator designs and offers a set of contract
items to users, each consisting of a Wi-Fi access price (that a user can charge
others for accessing his AP) and a subscription fee (that a user needs to pay
the operator for joining the community). Different from the existing contracts
in the literature, in our contract model each user's best choice depends not
only on his private information but also on other users' choices. This greatly
complicates the contract design, as the operator needs to analyze the
equilibrium choices of all users, rather than the best choice of each single
user. We first derive the feasible contract that guarantees the users' truthful
information disclosure based on the equilibrium analysis of user choice, and
then derive the optimal (and feasible) contract that yields the maximal profit
for the operator. Our analysis shows that a user who provides a higher Wi-Fi
access quality is more likely to choose a higher Wi-Fi access price and
subscription fee, regardless of the user mobility pattern. Simulation results
further show that when increasing the average Wi-Fi access quality of users,
the operator can gain more profit, but (counter-intuitively) offer lower Wi-Fi
access prices and subscription fees for users.
| cs.GT | crowdsourced wireless community network enables individual users to share their private wifi access points aps with each other hence can achieve a large wifi coverage with a small deployment cost via crowdsourcing this paper presents a novel contractbased incentive framework to incentivize such a wifi network crowdsourcing under incomplete information where each user has certain private information such as mobility pattern and wifi access quality in the proposed framework the network operator designs and offers a set of contract items to users each consisting of a wifi access price that a user can charge others for accessing his ap and a subscription fee that a user needs to pay the operator for joining the community different from the existing contracts in the literature in our contract model each users best choice depends not only on his private information but also on other users choices this greatly complicates the contract design as the operator needs to analyze the equilibrium choices of all users rather than the best choice of each single user we first derive the feasible contract that guarantees the users truthful information disclosure based on the equilibrium analysis of user choice and then derive the optimal and feasible contract that yields the maximal profit for the operator our analysis shows that a user who provides a higher wifi access quality is more likely to choose a higher wifi access price and subscription fee regardless of the user mobility pattern simulation results further show that when increasing the average wifi access quality of users the operator can gain more profit but counterintuitively offer lower wifi access prices and subscription fees for users | [['crowdsourced', 'wireless', 'community', 'network', 'enables', 'individual', 'users', 'to', 'share', 'their', 'private', 'wifi', 'access', 'points', 'aps', 'with', 'each', 'other', 'hence', 'can', 'achieve', 'a', 'large', 'wifi', 'coverage', 'with', 'a', 'small', 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1,802.09392 | Electromagnetic helicity in complex media | Optical helicity density is usually discussed for monochromatic
electromagnetic fields in free space. It plays an important role in the
interaction with chiral molecules or nanoparticles. Here we introduce the
optical helicity density in a dispersive isotropic medium. Our definition is
consistent with biorthogonal Maxwell electromagnetism in optical media, the
Brillouin energy density, as well as with the recently-introduced canonical
momentum and spin of light in dispersive media. We consider a number of
examples, including electromagnetic waves in dielectrics, negative-index
materials, and metals, as well as interactions of light in a medium with chiral
and magnetoelectric molecules.
| physics.optics | optical helicity density is usually discussed for monochromatic electromagnetic fields in free space it plays an important role in the interaction with chiral molecules or nanoparticles here we introduce the optical helicity density in a dispersive isotropic medium our definition is consistent with biorthogonal maxwell electromagnetism in optical media the brillouin energy density as well as with the recentlyintroduced canonical momentum and spin of light in dispersive media we consider a number of examples including electromagnetic waves in dielectrics negativeindex materials and metals as well as interactions of light in a medium with chiral and magnetoelectric molecules | [['optical', 'helicity', 'density', 'is', 'usually', 'discussed', 'for', 'monochromatic', 'electromagnetic', 'fields', 'in', 'free', 'space', 'it', 'plays', 'an', 'important', 'role', 'in', 'the', 'interaction', 'with', 'chiral', 'molecules', 'or', 'nanoparticles', 'here', 'we', 'introduce', 'the', 'optical', 'helicity', 'density', 'in', 'a', 'dispersive', 'isotropic', 'medium', 'our', 'definition', 'is', 'consistent', 'with', 'biorthogonal', 'maxwell', 'electromagnetism', 'in', 'optical', 'media', 'the', 'brillouin', 'energy', 'density', 'as', 'well', 'as', 'with', 'the', 'recentlyintroduced', 'canonical', 'momentum', 'and', 'spin', 'of', 'light', 'in', 'dispersive', 'media', 'we', 'consider', 'a', 'number', 'of', 'examples', 'including', 'electromagnetic', 'waves', 'in', 'dielectrics', 'negativeindex', 'materials', 'and', 'metals', 'as', 'well', 'as', 'interactions', 'of', 'light', 'in', 'a', 'medium', 'with', 'chiral', 'and', 'magnetoelectric', 'molecules']] | [-0.1629640069915001, 0.2405462228495342, -0.01406006451957792, 0.03779721829665767, -0.07384429884037559, -0.06311489030065917, -0.031482314162878035, 0.44655212364399555, -0.20329209542881274, -0.28241609547709684, 0.005051489378152818, -0.31449483874609174, -0.17847110399467506, 0.16062472613537973, 0.0553066811101876, 0.056548995138674056, -0.061024133323634176, -0.014692697837257507, -0.01633507097812043, -0.09462233899358045, 0.3332063667428171, 0.03131300404418221, 0.26892450100924703, 0.07729559265000303, 0.09543189126518123, 0.0829101698641118, 0.001394273204364113, 0.008781707427673252, -0.062230506796658654, 0.05579090940276372, 0.26568408026275964, -0.06257047487384419, 0.19442671440906592, -0.48424294529501927, -0.29784369254580784, 0.04105353075530879, 0.14060544128500924, 0.154773544408525, -0.1177519946359098, -0.25030940496986825, -0.07663748812271863, -0.13743781267194866, -0.1760297226983593, -0.08303142492611383, 0.02056608833948669, 0.07063887430086117, -0.24320680468544825, 0.10508797987911504, 0.02286722930028228, 0.06351286782547064, -0.0938696411063837, -0.098571006055038, -0.04576730099506676, 0.004614151488586338, 0.0622505372397352, 0.036323688211418764, 0.15116611164370455, -0.19681193450581014, -0.07348557024925333, 0.4738230168358567, -0.1055079443649072, -0.19082907089944354, 0.15339829964736074, -0.13217396391843705, -0.03660434826286798, 0.14479230179153768, 0.18313196443558968, 0.08436316697733458, -0.11013712137745521, 0.06338726721293553, -0.07216757553096707, 0.13733579437536447, 0.07538600248697493, 0.1695278156020669, 0.2386300240633721, 0.1782421198260692, -0.00974926209442087, 0.13481118120541125, -0.05065162701186599, -0.02220802362912248, -0.29933458674199803, -0.22042718740929032, -0.22311640540425925, 0.07249059913603147, -0.08116729426621963, -0.1989545718449907, 0.369687139839126, 0.10704156133759114, 0.12391335024623219, -0.06234562146410193, 0.31491558338256226, 0.09074589269855012, 0.07004443499902935, 0.06753502686306373, 0.329820337772523, 0.23563768762192622, 0.1728220552628495, -0.2048587010616494, -0.04038085704957394, 0.0393589223427794] |
1,802.09393 | Lean Internal Startups for Software Product Innovation in Large
Companies: Enablers and Inhibitors | To compete in this age of disruption, large companies cannot rely on cost
efficiency, lead time reduction and quality improvement. They are now looking
for ways to innovate like startups. Meanwhile, the awareness and use of the
Lean startup approach have grown rapidly amongst the software startup community
in recent years. This study investigates how Lean internal startup facilitates
software product innovation in large companies and identifies its enablers and
inhibitors. A multiple case study approach is followed in the investigation.
Two software product innovation projects from two large companies are examined,
using a conceptual framework that is based on the method-in-action framework
and extended with the previously developed Lean-Internal Corporate Venture
model. Seven face-to-face in-depth interviews of the employees with different
roles are conducted. Within-case analysis and cross-case comparison are applied
to draw the findings from the cases. A generic process flow summarises the
common key processes of Lean internal startups. The findings suggest that an
internal startup that is initiated management or employees faces different
challenges. A list of enablers of applying Lean startup in large companies are
identified, including top management support and cross-functional team. Both
cases face different inhibitors due to the different process of inception,
objective of the team and type of the product. Our contributions are threefold.
First, this study is one of the first attempt to investigate the use of Lean
startup approach in large companies empirically. Second, the study shows the
potential of the method-in-action framework to investigate the Lean startup
approach in non-startup context. The third is a general process of Lean
internal startup and the evidence of the enablers and inhibitors of
implementing it, which are both theory-informed and empirically grounded.
| cs.CY cs.SE | to compete in this age of disruption large companies cannot rely on cost efficiency lead time reduction and quality improvement they are now looking for ways to innovate like startups meanwhile the awareness and use of the lean startup approach have grown rapidly amongst the software startup community in recent years this study investigates how lean internal startup facilitates software product innovation in large companies and identifies its enablers and inhibitors a multiple case study approach is followed in the investigation two software product innovation projects from two large companies are examined using a conceptual framework that is based on the methodinaction framework and extended with the previously developed leaninternal corporate venture model seven facetoface indepth interviews of the employees with different roles are conducted withincase analysis and crosscase comparison are applied to draw the findings from the cases a generic process flow summarises the common key processes of lean internal startups the findings suggest that an internal startup that is initiated management or employees faces different challenges a list of enablers of applying lean startup in large companies are identified including top management support and crossfunctional team both cases face different inhibitors due to the different process of inception objective of the team and type of the product our contributions are threefold first this study is one of the first attempt to investigate the use of lean startup approach in large companies empirically second the study shows the potential of the methodinaction framework to investigate the lean startup approach in nonstartup context the third is a general process of lean internal startup and the evidence of the enablers and inhibitors of implementing it which are both theoryinformed and empirically grounded | [['to', 'compete', 'in', 'this', 'age', 'of', 'disruption', 'large', 'companies', 'can', 'not', 'rely', 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1,802.09394 | A superconvergent HDG method for Stokes flow with strongly enforced
symmetry of the stress tensor | This work proposes a superconvergent hybridizable discontinuous Galerkin
(HDG) method for the approximation of the Cauchy formulation of the Stokes
equation using same degree of polynomials for the primal and mixed variables.
The novel formulation relies on the well-known Voigt notation to strongly
enforce the symmetry of the stress tensor. The proposed strategy introduces
several advantages with respect to the existing HDG formulations. First, it
remedies the suboptimal behavior experienced by the classical HDG method for
formulations involving the symmetric part of the gradient of the primal
variable. The optimal convergence of the mixed variable is retrieved and an
element-by-element post-process procedure leads to a superconvergent velocity
field, even for low-order approximations. Second, no additional enrichment of
the discrete spaces is required and a gain in computational efficiency follows
from reducing the quantity of stored information and the size of the local
problems. Eventually, the novel formulation naturally imposes physical
tractions on the Neumann boundary. Numerical validation of the optimality of
the method and its superconvergent properties is performed in 2D and 3D using
meshes of different element types.
| math.NA cs.CE cs.NA | this work proposes a superconvergent hybridizable discontinuous galerkin hdg method for the approximation of the cauchy formulation of the stokes equation using same degree of polynomials for the primal and mixed variables the novel formulation relies on the wellknown voigt notation to strongly enforce the symmetry of the stress tensor the proposed strategy introduces several advantages with respect to the existing hdg formulations first it remedies the suboptimal behavior experienced by the classical hdg method for formulations involving the symmetric part of the gradient of the primal variable the optimal convergence of the mixed variable is retrieved and an elementbyelement postprocess procedure leads to a superconvergent velocity field even for loworder approximations second no additional enrichment of the discrete spaces is required and a gain in computational efficiency follows from reducing the quantity of stored information and the size of the local problems eventually the novel formulation naturally imposes physical tractions on the neumann boundary numerical validation of the optimality of the method and its superconvergent properties is performed in 2d and 3d using meshes of different element types | [['this', 'work', 'proposes', 'a', 'superconvergent', 'hybridizable', 'discontinuous', 'galerkin', 'hdg', 'method', 'for', 'the', 'approximation', 'of', 'the', 'cauchy', 'formulation', 'of', 'the', 'stokes', 'equation', 'using', 'same', 'degree', 'of', 'polynomials', 'for', 'the', 'primal', 'and', 'mixed', 'variables', 'the', 'novel', 'formulation', 'relies', 'on', 'the', 'wellknown', 'voigt', 'notation', 'to', 'strongly', 'enforce', 'the', 'symmetry', 'of', 'the', 'stress', 'tensor', 'the', 'proposed', 'strategy', 'introduces', 'several', 'advantages', 'with', 'respect', 'to', 'the', 'existing', 'hdg', 'formulations', 'first', 'it', 'remedies', 'the', 'suboptimal', 'behavior', 'experienced', 'by', 'the', 'classical', 'hdg', 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1,802.09395 | Scattering Amplitudes -- Wilson Loops Duality for the First Non-planar
Correction | We study the first non-planar correction to gluon scattering amplitudes in
${\cal N}=4$ SYM theory. The correction takes the form of a double trace
partial amplitude and is suppressed by one power of $1/N$ with respect to the
leading single trace contribution. We extend the duality between planar
scattering amplitudes and null polygonal Wilson loops to the double trace
amplitude. The new duality relates the amplitude to the correlation function of
two infinite null polygonal Wilson lines that are subject to a quantum
periodicity constraint. We test the duality perturbatively at one-loop order
and demonstrate it for the dual string in AdS. The duality allows us to extend
the notion of the loop integrand beyond the planar limit and to determine it
using recursion relations. It also allows one to apply the integrability-based
pentagon operator product expansion approach to the first non-planar order.
| hep-th | we study the first nonplanar correction to gluon scattering amplitudes in cal n4 sym theory the correction takes the form of a double trace partial amplitude and is suppressed by one power of 1n with respect to the leading single trace contribution we extend the duality between planar scattering amplitudes and null polygonal wilson loops to the double trace amplitude the new duality relates the amplitude to the correlation function of two infinite null polygonal wilson lines that are subject to a quantum periodicity constraint we test the duality perturbatively at oneloop order and demonstrate it for the dual string in ads the duality allows us to extend the notion of the loop integrand beyond the planar limit and to determine it using recursion relations it also allows one to apply the integrabilitybased pentagon operator product expansion approach to the first nonplanar order | [['we', 'study', 'the', 'first', 'nonplanar', 'correction', 'to', 'gluon', 'scattering', 'amplitudes', 'in', 'cal', 'n4', 'sym', 'theory', 'the', 'correction', 'takes', 'the', 'form', 'of', 'a', 'double', 'trace', 'partial', 'amplitude', 'and', 'is', 'suppressed', 'by', 'one', 'power', 'of', '1n', 'with', 'respect', 'to', 'the', 'leading', 'single', 'trace', 'contribution', 'we', 'extend', 'the', 'duality', 'between', 'planar', 'scattering', 'amplitudes', 'and', 'null', 'polygonal', 'wilson', 'loops', 'to', 'the', 'double', 'trace', 'amplitude', 'the', 'new', 'duality', 'relates', 'the', 'amplitude', 'to', 'the', 'correlation', 'function', 'of', 'two', 'infinite', 'null', 'polygonal', 'wilson', 'lines', 'that', 'are', 'subject', 'to', 'a', 'quantum', 'periodicity', 'constraint', 'we', 'test', 'the', 'duality', 'perturbatively', 'at', 'oneloop', 'order', 'and', 'demonstrate', 'it', 'for', 'the', 'dual', 'string', 'in', 'ads', 'the', 'duality', 'allows', 'us', 'to', 'extend', 'the', 'notion', 'of', 'the', 'loop', 'integrand', 'beyond', 'the', 'planar', 'limit', 'and', 'to', 'determine', 'it', 'using', 'recursion', 'relations', 'it', 'also', 'allows', 'one', 'to', 'apply', 'the', 'integrabilitybased', 'pentagon', 'operator', 'product', 'expansion', 'approach', 'to', 'the', 'first', 'nonplanar', 'order']] | [-0.12725395717254312, 0.1323004572789048, -0.09389222557558775, 0.1265881824074313, -0.0924981569193981, -0.10069671199149029, 0.04484626825270406, 0.3157360797839148, -0.2423492238654957, -0.21995904442074324, 0.048399103237185756, -0.3054142744360586, -0.17010990355710884, 0.1223175368708122, -0.010912769913699452, 0.08392912787678358, -0.0008305257130935268, 0.05326055376660209, -0.10819230154254376, -0.2236107524135964, 0.33947044725275854, 0.0006434378219065029, 0.27785952774794787, 0.10797390213783284, 0.06880692715619828, 0.06613928056810495, -0.04233178605449262, 0.01118823110249701, -0.1073876735414936, 0.1301694120389533, 0.19004496675264743, 0.05152506918737574, 0.10666076101727419, -0.4421842286714932, -0.1155504440771533, 0.05604385428286932, 0.15797837695979572, 0.11020979666235772, 0.08173827458355394, -0.20155294735792217, 0.04184586956602085, -0.1781319929612475, -0.21438421917773157, -0.08005697865664334, 0.02050859132013121, -0.10735142814692344, -0.30534752719495056, 0.02854188781217802, 0.022064744110603433, -0.043277262304616454, 0.016261575765536537, -0.02112291177239764, -0.008125233823772181, 0.138086373188331, 0.05654032135803995, 0.08594159842989818, 0.06441361338903125, -0.13516370438925035, -0.14336476092010256, 0.32720642198541466, -0.08225371185983238, -0.18883573227412218, 0.11654476222575649, -0.23815873399754608, -0.1708523421808817, 0.14538015951954034, 0.10823873596565499, 0.13646895548457383, -0.142281363747519, 0.17487034217741054, -0.007822055851558705, 0.10964504977154148, 0.18182903689403945, 0.014066358030141963, 0.19238905977275406, 0.057676348118827894, 0.05034783275934731, 0.2245445328824046, -0.07054077402095903, -0.1432945386350311, -0.39991368475155187, -0.1347509040285579, -0.08002446623766547, 0.04852390581566085, -0.14658591878283736, -0.21888656796353473, 0.3348965088208369, 0.1295335014599825, 0.17389346564585878, 0.09947651150551709, 0.2668741953500605, 0.18480295375261416, 0.1343072494557062, 0.04507946967101702, 0.23769723526462652, 0.23313452754417188, 0.07019980810582638, -0.29558310107087027, -0.05682298883639433, 0.201086044080321] |
1,802.09396 | Attraction versus Persuasion: Information Provision in Search Markets | We consider a model of oligopolistic competition in a market with search
frictions, in which competing firms with products of unknown quality advertise
how much information a consumer's visit will glean. In the unique symmetric
equilibrium of this game, the countervailing incentives of attraction and
persuasion yield a payoff function for each firm that is linear in the firm's
realized effective value. If the expected quality of the products is
sufficiently high (or competition is sufficiently fierce), this corresponds to
full information--firms provide the first-best level of information. If not,
this corresponds to information dispersion--firms randomize over signals.
| math.PR cs.GT econ.TH q-fin.EC | we consider a model of oligopolistic competition in a market with search frictions in which competing firms with products of unknown quality advertise how much information a consumers visit will glean in the unique symmetric equilibrium of this game the countervailing incentives of attraction and persuasion yield a payoff function for each firm that is linear in the firms realized effective value if the expected quality of the products is sufficiently high or competition is sufficiently fierce this corresponds to full informationfirms provide the firstbest level of information if not this corresponds to information dispersionfirms randomize over signals | [['we', 'consider', 'a', 'model', 'of', 'oligopolistic', 'competition', 'in', 'a', 'market', 'with', 'search', 'frictions', 'in', 'which', 'competing', 'firms', 'with', 'products', 'of', 'unknown', 'quality', 'advertise', 'how', 'much', 'information', 'a', 'consumers', 'visit', 'will', 'glean', 'in', 'the', 'unique', 'symmetric', 'equilibrium', 'of', 'this', 'game', 'the', 'countervailing', 'incentives', 'of', 'attraction', 'and', 'persuasion', 'yield', 'a', 'payoff', 'function', 'for', 'each', 'firm', 'that', 'is', 'linear', 'in', 'the', 'firms', 'realized', 'effective', 'value', 'if', 'the', 'expected', 'quality', 'of', 'the', 'products', 'is', 'sufficiently', 'high', 'or', 'competition', 'is', 'sufficiently', 'fierce', 'this', 'corresponds', 'to', 'full', 'informationfirms', 'provide', 'the', 'firstbest', 'level', 'of', 'information', 'if', 'not', 'this', 'corresponds', 'to', 'information', 'dispersionfirms', 'randomize', 'over', 'signals']] | [-0.11567882292244273, 0.11062352829806817, -0.10716291674179956, 0.09932803686630602, -0.08613281175106142, -0.15812797407852486, 0.1225408736912262, 0.3541193161411987, -0.27747576765250415, -0.2681221362533203, 0.1226930691476203, -0.30981961626093835, -0.10107348694388445, 0.07503696237351203, -0.09044367785584957, -0.07790725505037699, 0.051333021949782655, 0.10892480891955832, 0.018893986292823683, -0.30255751231500955, 0.3012205244400927, 0.05759857102748356, 0.28313670608137426, 0.06082242212626928, 0.09676322675659321, 0.020406161255474824, 0.0016923941730055958, 0.023918737628264353, -0.1563583802227034, 0.13109270231385986, 0.31802067941316636, 0.14738851508203274, 0.37854614432823536, -0.3937577460698473, -0.12624188297922956, 0.19431638702129325, 0.06583571783266962, 0.068288816880037, -0.013643360362038948, -0.23853365764565146, 0.048705922349957596, -0.24332079022860853, -0.09887130204106143, -0.047112609793354444, 0.017478009229913976, 0.044722946506226435, -0.3447354580906297, 0.022029453828812013, 0.02991947508659602, 0.02819432195004386, -0.05657723706099205, -0.08005352271720767, -0.06117344366308922, 0.20164782247593394, 0.06513215550512541, -0.011376475927136198, 0.11158466815929084, -0.19429469331953442, -0.1391287293396696, 0.4193714035791345, -0.06246312096239611, -0.19642740312216725, 0.15448444277474968, -0.1527334799466189, -0.07375750139423569, 0.14427226701324494, 0.19814898659630367, 0.04806630380335264, -0.160997474915348, 0.04829156064988638, -0.05059129096722851, 0.18946215668862956, 0.04634492454351857, 0.03309465982116914, 0.2289802135201171, 0.192563590942882, 0.17107814582413994, 0.12958449234671812, 0.03291478444104238, -0.13084266304698153, -0.23508887485453064, -0.11859363721426537, -0.1553160464585138, 0.08699545207264237, -0.10151113714755411, -0.15508886243818173, 0.36596706356309977, 0.15830807781700665, 0.14421205162943806, 0.052071372826806815, 0.2806365378589059, 0.08068405071207962, 0.03311537581976154, 0.06150479486799062, 0.22676750200722987, 0.010471843064199978, 0.12634115219285982, -0.15577779773836178, 0.180770262653823, -0.03238190543682625] |
1,802.09397 | Tomographic X-ray data of 3D emoji | This is the documentation of the tomographic X-ray data of emoji phantom made
available at https://zenodo.org/record/1183532#.WpA35Y5rIy1. The data can be
freely used for scientific purposes with appropriate references to the data and
to this document in arxiv.org. The data set consists of (1) the X-ray sinogram
of a single 2D slice of 33 emoji faces (contains 15 different emoji faces) made
by small squared ceramic stones and (2) the corresponding static and dynamic
measurement matrices modeling the linear operation of the X-ray transform. Each
of these sinograms was obtained from a measured 60-projection fan-beam sinogram
by down-sampling and taking logarithms. The original (measured) sinogram is
also provided in its original form and resolution. The original (measured)
sinogram is also provided in its original form and resolution.
| physics.med-ph | this is the documentation of the tomographic xray data of emoji phantom made available at httpszenodoorgrecord1183532wpa35y5riy1 the data can be freely used for scientific purposes with appropriate references to the data and to this document in arxivorg the data set consists of 1 the xray sinogram of a single 2d slice of 33 emoji faces contains 15 different emoji faces made by small squared ceramic stones and 2 the corresponding static and dynamic measurement matrices modeling the linear operation of the xray transform each of these sinograms was obtained from a measured 60projection fanbeam sinogram by downsampling and taking logarithms the original measured sinogram is also provided in its original form and resolution the original measured sinogram is also provided in its original form and resolution | [['this', 'is', 'the', 'documentation', 'of', 'the', 'tomographic', 'xray', 'data', 'of', 'emoji', 'phantom', 'made', 'available', 'at', 'httpszenodoorgrecord1183532wpa35y5riy1', 'the', 'data', 'can', 'be', 'freely', 'used', 'for', 'scientific', 'purposes', 'with', 'appropriate', 'references', 'to', 'the', 'data', 'and', 'to', 'this', 'document', 'in', 'arxivorg', 'the', 'data', 'set', 'consists', 'of', '1', 'the', 'xray', 'sinogram', 'of', 'a', 'single', '2d', 'slice', 'of', '33', 'emoji', 'faces', 'contains', '15', 'different', 'emoji', 'faces', 'made', 'by', 'small', 'squared', 'ceramic', 'stones', 'and', '2', 'the', 'corresponding', 'static', 'and', 'dynamic', 'measurement', 'matrices', 'modeling', 'the', 'linear', 'operation', 'of', 'the', 'xray', 'transform', 'each', 'of', 'these', 'sinograms', 'was', 'obtained', 'from', 'a', 'measured', '60projection', 'fanbeam', 'sinogram', 'by', 'downsampling', 'and', 'taking', 'logarithms', 'the', 'original', 'measured', 'sinogram', 'is', 'also', 'provided', 'in', 'its', 'original', 'form', 'and', 'resolution', 'the', 'original', 'measured', 'sinogram', 'is', 'also', 'provided', 'in', 'its', 'original', 'form', 'and', 'resolution']] | [-0.01685257142901631, 0.03592357223791506, -0.06849716477952297, 0.054978828679116805, -0.07363775966598862, -0.09893731881804284, 0.015525071547486849, 0.4040335438274328, -0.2930901420843457, -0.3320546265308475, 0.13123378061948554, -0.35037258736068205, -0.04526727293212447, 0.19781442724108214, -0.086475437627204, 0.11265480143464951, 0.11250041494514013, 0.025360073683963667, -0.07182313182256034, -0.27225894336081713, 0.27244166522887686, 0.07124206034108459, 0.28782235364234376, -0.00983844840178086, 0.1488367617055173, 0.04062695222185744, -0.12137503456324339, 0.01315401750241196, -0.07623205073703561, 0.13293429034397816, 0.2942618347043472, 0.18163781761071615, 0.21626625447759346, -0.39251449240949904, -0.13751644952102535, 0.027070347342692737, 0.09408878245683867, 0.05384486893777766, -0.042566719172041745, -0.3132150172210869, 0.09349768418788669, -0.13223003022252552, -0.059799957588585397, -0.034555130292691534, -0.006450982050850026, -0.014020089826156054, -0.24205226685491302, 0.043219067324835415, 0.024723653799869242, 0.08101069693633865, -0.09319342617621465, -0.12944975644049625, -0.03777954931513617, 0.167625873282011, 0.027852807203382856, 0.06068327515329715, 0.10741051963169969, -0.1162255132031503, -0.06617577171944562, 0.3908763478299783, -0.01653603146663837, -0.18051465376160078, 0.10393462770227943, -0.16521431329179434, -0.08044649813241596, 0.1656060951645486, 0.11283153861821178, 0.05399707307092725, -0.1813510130384877, 0.05477820714699074, -0.03876252936184286, 0.22105857406202103, 0.1170923919980264, -0.02910708219203497, 0.1561299100398056, 0.1630063046224325, -0.04663464363153663, 0.1737841710048322, -0.16657074857052537, 0.03596368499640976, -0.28154112398859127, -0.1450392948932976, -0.2124780536283769, 0.04022040130052295, -0.12371421405869994, -0.13227226464228042, 0.3890187312142863, 0.10710207326713228, 0.21493063566665496, 0.011739771640408904, 0.35801035418145116, 0.05496674113554388, 0.1309886473482625, 0.026821388521291796, 0.19116187981525135, 0.04260859237570736, 0.16212579582427297, -0.12951495194424606, 0.03240606980773831, 0.050594679267716505] |
1,802.09398 | Call center service times are lognormal. A Fokker--Planck description | Call centers are service networks in which agents provide telephone-based
services. An important part of call center operations is represented by service
durations. In recent statistical analysis of real data, it has been noticed
that the distribution of service times reveals a remarkable fit to the
lognormal distribution. In this paper we discuss a possible source of this
behavior by resorting to classical methods of statistical mechanics of
multi-agent systems. The microscopic service time variation leading to a linear
kinetic equation with lognormal equilibrium density is built up introducing as
main criterion for decision a suitable value function in the spirit of the
prospect theory of Kahneman and Twersky.
| physics.soc-ph | call centers are service networks in which agents provide telephonebased services an important part of call center operations is represented by service durations in recent statistical analysis of real data it has been noticed that the distribution of service times reveals a remarkable fit to the lognormal distribution in this paper we discuss a possible source of this behavior by resorting to classical methods of statistical mechanics of multiagent systems the microscopic service time variation leading to a linear kinetic equation with lognormal equilibrium density is built up introducing as main criterion for decision a suitable value function in the spirit of the prospect theory of kahneman and twersky | [['call', 'centers', 'are', 'service', 'networks', 'in', 'which', 'agents', 'provide', 'telephonebased', 'services', 'an', 'important', 'part', 'of', 'call', 'center', 'operations', 'is', 'represented', 'by', 'service', 'durations', 'in', 'recent', 'statistical', 'analysis', 'of', 'real', 'data', 'it', 'has', 'been', 'noticed', 'that', 'the', 'distribution', 'of', 'service', 'times', 'reveals', 'a', 'remarkable', 'fit', 'to', 'the', 'lognormal', 'distribution', 'in', 'this', 'paper', 'we', 'discuss', 'a', 'possible', 'source', 'of', 'this', 'behavior', 'by', 'resorting', 'to', 'classical', 'methods', 'of', 'statistical', 'mechanics', 'of', 'multiagent', 'systems', 'the', 'microscopic', 'service', 'time', 'variation', 'leading', 'to', 'a', 'linear', 'kinetic', 'equation', 'with', 'lognormal', 'equilibrium', 'density', 'is', 'built', 'up', 'introducing', 'as', 'main', 'criterion', 'for', 'decision', 'a', 'suitable', 'value', 'function', 'in', 'the', 'spirit', 'of', 'the', 'prospect', 'theory', 'of', 'kahneman', 'and', 'twersky']] | [-0.12077756870807818, 0.04981611401539526, -0.14255863354132275, 0.07836789057250614, -0.03679490335303071, -0.12088675165078908, 0.06473507820062827, 0.3644023186866647, -0.270680786580474, -0.31397342789813737, 0.0785460397873126, -0.24645794642584345, -0.14015879025943925, 0.1565079405799369, -0.10669981575544889, 0.09086642029616877, 0.030046994693438026, 0.03637248779256463, -0.04421492517222955, -0.24289277397426906, 0.3119518327108959, 0.07536293668498363, 0.31175301767554936, 0.023967068437835044, 0.09277049369480903, 0.02401161285021525, -0.028873034261132233, -0.005554516103432001, -0.10981627030410449, 0.12363953174692448, 0.263769185555681, 0.17113693802896016, 0.3212883420218931, -0.4173311100071557, -0.22196805300452163, 0.09688764970279604, 0.12289607132323713, 0.05531524656510207, -0.012006179760340775, -0.2652717675125905, 0.060382810973988794, -0.22036888276087555, -0.17233164658091057, -0.06706046174654615, 0.03702127796414996, 0.062038752561539554, -0.25872114539216057, 0.07020863930686055, 0.02748412584502981, 0.07285888765494679, -0.044961289176282206, -0.0897027764330122, 0.025502008988704777, 0.11426500112653892, 0.07341477565171424, 0.026069482094303608, 0.13837485784386225, -0.12373790650184606, -0.1455027453479505, 0.41125861673711617, -0.04212644018850803, -0.13900248725489478, 0.13556574882121286, -0.08633722324864329, -0.17628648603187055, 0.11023995165808875, 0.17169941731110633, 0.06619557488446394, -0.22789381503641049, 0.07243444590783617, -0.03810085555229545, 0.15434254873892136, 0.03626782605076365, 0.015294393907501319, 0.2091321973652344, 0.2204802393582519, 0.09342272512649542, 0.12437668518885692, -0.029796997511707175, -0.16406067289797172, -0.25772585526596165, -0.13579727436859754, -0.18815437084168335, 0.07658406443758999, -0.08920876036828414, -0.16036442747104598, 0.35953423250292504, 0.13764051193203863, 0.1758892488813846, 0.08303384293005671, 0.28047284097454256, 0.16282029116034472, 0.04647566049107324, 0.06569550675122399, 0.1759614547383841, 0.10160673050227288, 0.14030839847052626, -0.13056424876379075, 0.11542757666804697, 0.012649259662743067] |
1,802.09399 | Area Coverage of Expanding E.T. Signals in the Galaxy: SETI and Drake's
N | The Milky Way Galaxy contains an unknown number, $N$, of civilizations that
emit electromagnetic radiation (of unknown wavelengths) over a finite lifetime,
$L$. Here we are assuming that the radiation is not produced indefinitely, but
within $L$ as a result of some unknown limiting event. When a civilization
stops emitting, the radiation continues traveling outward at the speed of
light, $c$, but is confined within a shell wall having constant thickness,
$cL$. We develop a simple model of the Galaxy that includes both the birthrate
and detectable lifetime of civilizations to compute the possibility of a SETI
detection at the Earth. Two cases emerge for radiation shells that are (1)
thinner than or (2) thicker than the size of the Galaxy, corresponding to
detectable lifetimes, $L$, less than or greater than the light-travel time,
$\sim 100,000$ years, across the Milky Way, respectively. For case (1), each
shell wall has a thickness smaller than the size of the Galaxy and intersects
the galactic plane in a donut shape (annulus) that fills only a fraction of the
Galaxy's volume, inhibiting SETI detection. But the ensemble of such shell
walls may still fill our Galaxy, and indeed may overlap locally, given a
sufficiently high birthrate of detectable civilizations. In the second case,
each radiation shell is thicker than the size of our Galaxy. Yet, the ensemble
of walls may or may not yield a SETI detection depending on the civilization
birthrate. We compare the number of different electromagnetic transmissions
arriving at Earth to Drake's $N$, the number of currently emitting
civilizations, showing that they are equal to each other for both cases (1) and
(2). However, for $L < 100,000$ years, the transmissions arriving at Earth may
come from distant civilizations long extinct, while civilizations still alive
are sending signals yet to arrive.
| physics.pop-ph astro-ph.IM | the milky way galaxy contains an unknown number n of civilizations that emit electromagnetic radiation of unknown wavelengths over a finite lifetime l here we are assuming that the radiation is not produced indefinitely but within l as a result of some unknown limiting event when a civilization stops emitting the radiation continues traveling outward at the speed of light c but is confined within a shell wall having constant thickness cl we develop a simple model of the galaxy that includes both the birthrate and detectable lifetime of civilizations to compute the possibility of a seti detection at the earth two cases emerge for radiation shells that are 1 thinner than or 2 thicker than the size of the galaxy corresponding to detectable lifetimes l less than or greater than the lighttravel time sim 100000 years across the milky way respectively for case 1 each shell wall has a thickness smaller than the size of the galaxy and intersects the galactic plane in a donut shape annulus that fills only a fraction of the galaxys volume inhibiting seti detection but the ensemble of such shell walls may still fill our galaxy and indeed may overlap locally given a sufficiently high birthrate of detectable civilizations in the second case each radiation shell is thicker than the size of our galaxy yet the ensemble of walls may or may not yield a seti detection depending on the civilization birthrate we compare the number of different electromagnetic transmissions arriving at earth to drakes n the number of currently emitting civilizations showing that they are equal to each other for both cases 1 and 2 however for l 100000 years the transmissions arriving at earth may come from distant civilizations long extinct while civilizations still alive are sending signals yet to arrive | [['the', 'milky', 'way', 'galaxy', 'contains', 'an', 'unknown', 'number', 'n', 'of', 'civilizations', 'that', 'emit', 'electromagnetic', 'radiation', 'of', 'unknown', 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1,802.094 | $L^2\times L^2 \to L^1$ boundedness criteria | We obtain a sharp $L^2\times L^2 \to L^1$ boundedness criterion for a class
of bilinear operators associated with a multiplier given by a signed sum of
dyadic dilations of a given function, in terms of the $L^q$ integrability of
this function; precisely we show that boundedness holds if and only if $q<4$.
We discuss applications of this result concerning bilinear rough singular
integrals and bilinear dyadic spherical maximal functions.
Our second result is an optimal $L^2\times L^2\to L^1$ boundedness criterion
for bilinear operators associated with multipliers with $L^\infty$ derivatives.
This result provides the main tool in the proof of the first theorem and is
also manifested in terms of the $L^q$ integrability of the multiplier. The
optimal range is $q<4$ which, in the absence of Plancherel's identity on $L^1$,
should be compared to $q=\infty$ in the classical $L^2\to L^2$ boundedness for
linear multiplier operators.
| math.CA | we obtain a sharp l2times l2 to l1 boundedness criterion for a class of bilinear operators associated with a multiplier given by a signed sum of dyadic dilations of a given function in terms of the lq integrability of this function precisely we show that boundedness holds if and only if q4 we discuss applications of this result concerning bilinear rough singular integrals and bilinear dyadic spherical maximal functions our second result is an optimal l2times l2to l1 boundedness criterion for bilinear operators associated with multipliers with linfty derivatives this result provides the main tool in the proof of the first theorem and is also manifested in terms of the lq integrability of the multiplier the optimal range is q4 which in the absence of plancherels identity on l1 should be compared to qinfty in the classical l2to l2 boundedness for linear multiplier operators | [['we', 'obtain', 'a', 'sharp', 'l2times', 'l2', 'to', 'l1', 'boundedness', 'criterion', 'for', 'a', 'class', 'of', 'bilinear', 'operators', 'associated', 'with', 'a', 'multiplier', 'given', 'by', 'a', 'signed', 'sum', 'of', 'dyadic', 'dilations', 'of', 'a', 'given', 'function', 'in', 'terms', 'of', 'the', 'lq', 'integrability', 'of', 'this', 'function', 'precisely', 'we', 'show', 'that', 'boundedness', 'holds', 'if', 'and', 'only', 'if', 'q4', 'we', 'discuss', 'applications', 'of', 'this', 'result', 'concerning', 'bilinear', 'rough', 'singular', 'integrals', 'and', 'bilinear', 'dyadic', 'spherical', 'maximal', 'functions', 'our', 'second', 'result', 'is', 'an', 'optimal', 'l2times', 'l2to', 'l1', 'boundedness', 'criterion', 'for', 'bilinear', 'operators', 'associated', 'with', 'multipliers', 'with', 'linfty', 'derivatives', 'this', 'result', 'provides', 'the', 'main', 'tool', 'in', 'the', 'proof', 'of', 'the', 'first', 'theorem', 'and', 'is', 'also', 'manifested', 'in', 'terms', 'of', 'the', 'lq', 'integrability', 'of', 'the', 'multiplier', 'the', 'optimal', 'range', 'is', 'q4', 'which', 'in', 'the', 'absence', 'of', 'plancherels', 'identity', 'on', 'l1', 'should', 'be', 'compared', 'to', 'qinfty', 'in', 'the', 'classical', 'l2to', 'l2', 'boundedness', 'for', 'linear', 'multiplier', 'operators']] | [-0.13224777610080277, 0.061935841666076207, -0.05174455907638673, 0.12650471942017336, -0.08567602754492391, -0.09181837319116389, 0.010184605820820881, 0.2892958421221042, -0.31978159124956473, -0.1662325047060743, 0.1739354337373475, -0.2575438088164307, -0.15069575588238407, 0.2056157280124359, -0.12451075669907202, 0.07907347458616629, 0.044362960352767516, 0.06473494474645834, -0.1508291461830633, -0.2585717215092032, 0.38675375642267973, -0.04503829710485114, 0.17158980338046184, 0.08950194467666682, 0.08924515923097244, 0.05388532418161761, -0.012037358959889288, -0.09190920758601669, -0.15335625759351362, 0.14471880466574671, 0.2250730965117162, 0.06943485300362735, 0.2931722604728245, -0.35990431939310336, -0.11797067567940567, 0.20251087276786045, 0.1156959583839545, -0.034764168402212636, -0.04389525855927227, -0.2679233657964668, 0.13394893093321186, -0.1240286314306403, -0.20608794268780758, -0.0976757212782969, 0.009464600878943514, 0.09485508613548913, -0.4097544388793461, 0.13038889471896586, 0.19183929288642598, 0.05479923942797146, -0.15174644336697052, -0.11848562411553637, 0.006416368010043577, 0.03801103526648212, 0.042565616832759515, 0.05823609266198937, 0.026927457578558397, -0.05911741243069666, -0.09637737152055947, 0.3074088213408457, -0.10692129105449999, -0.26812746611560556, 0.11872196057485743, -0.16743488672475976, -0.10777960015441311, 0.035015104459012514, 0.10618516887453469, 0.1464317656688757, -0.12210973918151397, 0.14905836600427666, -0.09979266221993245, 0.12236321113117925, 0.09829916062575954, 0.10340802769430658, 0.03170190973311558, 0.07133202818775927, 0.22222225993572103, 0.1734568381120721, 0.0069522034593408446, -0.054618843476177306, -0.4098127094468662, -0.18525274513432613, -0.17960116772918955, 0.06902859494142183, -0.14538549812206547, -0.17690891255396646, 0.38012094032410143, 0.07774087537032832, 0.18106049154982803, 0.11581539134804315, 0.23276696056518312, 0.21027492325821356, 0.08459898814806467, 0.03852160174360538, 0.20317081291182942, 0.17635799354834522, 0.09651164241929676, -0.1610421835352468, 0.006986223965544592, 0.26914683680564583] |
1,802.09401 | Detection of interstellar HCS and its metastable isomer HSC: new pieces
in the puzzle of sulfur chemistry | We present the first identification in interstellar space of the thioformyl
radical (HCS) and its metastable isomer HSC. These species were detected toward
the molecular cloud L483 thanks to observations carried out with the IRAM 30m
telescope in the 3 mm band. We derive beam-averaged column densities of 7e12
cm-2 for HCS and 1.8e11 cm-2 for HSC, which translate to fractional abundances
relative to H2 of 2e-10 and 6e-12, respectively. Although the amount of sulfur
locked by these radicals is low, their detection allows to put interesting
constraints on the chemistry of sulfur in dark clouds. Interestingly, the
H2CS/HCS abundance ratio is found to be quite low, around 1, in contrast with
the oxygen analogue case, in which the H2CO/HCO abundance ratio is around 10 in
dark clouds. Moreover, the radical HCS is found to be more abundant than its
oxygen analogue, HCO. The metastable species HOC, the oxygen analogue of HSC,
has not been yet observed in space. These observational constraints are
confronted with the outcome of a recent model of the chemistry of sulfur in
dark clouds. The model underestimates the fractional abundance of HCS by at
least one order of magnitude, overestimates the H2CS/HCS abundance ratio, and
does not provide an abundance prediction for the metastable isomer HSC. These
observations should prompt a revision of the chemistry of sulfur in
interstellar clouds.
| astro-ph.GA | we present the first identification in interstellar space of the thioformyl radical hcs and its metastable isomer hsc these species were detected toward the molecular cloud l483 thanks to observations carried out with the iram 30m telescope in the 3 mm band we derive beamaveraged column densities of 7e12 cm2 for hcs and 18e11 cm2 for hsc which translate to fractional abundances relative to h2 of 2e10 and 6e12 respectively although the amount of sulfur locked by these radicals is low their detection allows to put interesting constraints on the chemistry of sulfur in dark clouds interestingly the h2cshcs abundance ratio is found to be quite low around 1 in contrast with the oxygen analogue case in which the h2cohco abundance ratio is around 10 in dark clouds moreover the radical hcs is found to be more abundant than its oxygen analogue hco the metastable species hoc the oxygen analogue of hsc has not been yet observed in space these observational constraints are confronted with the outcome of a recent model of the chemistry of sulfur in dark clouds the model underestimates the fractional abundance of hcs by at least one order of magnitude overestimates the h2cshcs abundance ratio and does not provide an abundance prediction for the metastable isomer hsc these observations should prompt a revision of the chemistry of sulfur in interstellar clouds | [['we', 'present', 'the', 'first', 'identification', 'in', 'interstellar', 'space', 'of', 'the', 'thioformyl', 'radical', 'hcs', 'and', 'its', 'metastable', 'isomer', 'hsc', 'these', 'species', 'were', 'detected', 'toward', 'the', 'molecular', 'cloud', 'l483', 'thanks', 'to', 'observations', 'carried', 'out', 'with', 'the', 'iram', '30m', 'telescope', 'in', 'the', '3', 'mm', 'band', 'we', 'derive', 'beamaveraged', 'column', 'densities', 'of', '7e12', 'cm2', 'for', 'hcs', 'and', '18e11', 'cm2', 'for', 'hsc', 'which', 'translate', 'to', 'fractional', 'abundances', 'relative', 'to', 'h2', 'of', '2e10', 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'the', 'model', 'underestimates', 'the', 'fractional', 'abundance', 'of', 'hcs', 'by', 'at', 'least', 'one', 'order', 'of', 'magnitude', 'overestimates', 'the', 'h2cshcs', 'abundance', 'ratio', 'and', 'does', 'not', 'provide', 'an', 'abundance', 'prediction', 'for', 'the', 'metastable', 'isomer', 'hsc', 'these', 'observations', 'should', 'prompt', 'a', 'revision', 'of', 'the', 'chemistry', 'of', 'sulfur', 'in', 'interstellar', 'clouds']] | [-0.05673069185524417, 0.1155199950842044, -0.01687913124597716, 0.034512992028612646, 0.000765133722664111, -0.058584473641927946, 0.07477978054534602, 0.4037336777557026, -0.17290284882447768, -0.35302246828478845, 0.05627529449623332, -0.26650263751038106, -0.014679982401007279, 0.09354283065767958, -0.01216974552106959, -0.04507814937334677, 0.020706807881255042, -0.05843182629151587, -0.03447893423197622, -0.24648898887786674, 0.24287832241759383, 0.1134650907352228, 0.19557784516602458, 0.06022932703014124, 0.0333655352529604, 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1,802.09402 | Quantum reflections, random walks and cut-off | We study the cut-off phenomenon for random walks on free unitary quantum
groups coming from quantum conjugacy classes of classical reflections. We
obtain in particular a quantum analogue of the result of U. Porod concerning
certain mixtures of such reflections. We also study random walks on quantum
reflection groups and more generally free wreath products of finite group by
quantum permutation groups.
| math.PR math.OA math.QA | we study the cutoff phenomenon for random walks on free unitary quantum groups coming from quantum conjugacy classes of classical reflections we obtain in particular a quantum analogue of the result of u porod concerning certain mixtures of such reflections we also study random walks on quantum reflection groups and more generally free wreath products of finite group by quantum permutation groups | [['we', 'study', 'the', 'cutoff', 'phenomenon', 'for', 'random', 'walks', 'on', 'free', 'unitary', 'quantum', 'groups', 'coming', 'from', 'quantum', 'conjugacy', 'classes', 'of', 'classical', 'reflections', 'we', 'obtain', 'in', 'particular', 'a', 'quantum', 'analogue', 'of', 'the', 'result', 'of', 'u', 'porod', 'concerning', 'certain', 'mixtures', 'of', 'such', 'reflections', 'we', 'also', 'study', 'random', 'walks', 'on', 'quantum', 'reflection', 'groups', 'and', 'more', 'generally', 'free', 'wreath', 'products', 'of', 'finite', 'group', 'by', 'quantum', 'permutation', 'groups']] | [-0.15308672776107765, 0.2657313391175722, -0.1100015253459494, 0.06079305760983017, -0.04240114271881119, -0.12658772403524526, 0.10062098390828338, 0.38945344823502726, -0.3034986377723755, -0.2015265776445308, 0.08230848442913304, -0.2658404941039701, -0.1620751527032905, 0.250427758726742, -0.10258516063162636, 0.056051845482039835, 0.03867093134190767, 0.10132536152753258, -0.09028225156268285, -0.2625460969284177, 0.3952502348129788, -0.042469434601145856, 0.25593645519186414, 0.011077432284852671, 0.043821885235487454, 0.1096521835669034, -0.04901839957212008, -0.02660196626018132, -0.1408446578819665, 0.07561371796914647, 0.2408532862581553, -0.0037011778622400016, 0.1959787432335302, -0.39103812357831386, -0.2187943776859151, 0.1772545342438764, 0.09394099967340158, 0.11506735521083276, -0.09450376516836131, -0.3559594096675996, 0.056894520943563794, -0.21460443913125463, -0.11067127863756351, -0.019297122414554318, -0.0053244452442853685, -0.0011267306718734963, -0.15934646440549724, 0.06233960592456447, 0.1164959386956217, 0.1327195899531005, 0.01672258696729137, -0.06066235901427365, 0.10106801693778365, 0.15725947134647397, -0.011103884181788853, -0.10673339006250664, 0.13085138815034542, -0.10100872241967027, -0.22201866925423663, 0.46540696618537747, -0.013496359494785148, -0.1619775636549269, 0.20063957890435571, -0.2103524610415221, -0.18877246006271772, 0.0752437326816782, 0.15852695623142343, 0.12074325188633896, -0.060403005325145295, 0.16551004680560813, -0.14826054405421019, 0.05554147205135274, 0.1261943884854836, 0.04506750865989635, 0.09803201332162585, -0.016302364837047795, 0.10907992514811697, 0.2045492717335301, 0.044845245478134003, -0.12365704180762893, -0.35482383671877604, -0.20630324912828304, -0.16214993104879413, 0.19802013230359844, -0.13231993170671968, -0.2476390619844859, 0.3790684908388122, 0.0811508638707305, 0.12087420096260405, 0.10067910956399094, 0.14774314468471153, 0.10888328150876107, 0.02339437534852374, 0.015366980851057076, 0.015848979954757998, 0.28092551865660015, -0.08782297894058208, -0.18207093500607316, -0.02391869662660024, 0.1731264984024869] |
1,802.09403 | Vector Meson Photoproduction with a Linearly Polarized Beam | We propose a model based on Regge theory to describe photoproduction of light
vector mesons. We fit the SLAC data and make predictions for the energy and
momentum transfer dependence of the spin-density matrix elements in
photoproduction of $\omega$, $\rho^0$ and $\phi$ mesons at $E_\gamma \sim 8.5$
GeV, which are soon to be measured at Jefferson Lab.
| hep-ph | we propose a model based on regge theory to describe photoproduction of light vector mesons we fit the slac data and make predictions for the energy and momentum transfer dependence of the spindensity matrix elements in photoproduction of omega rho0 and phi mesons at e_gamma sim 85 gev which are soon to be measured at jefferson lab | [['we', 'propose', 'a', 'model', 'based', 'on', 'regge', 'theory', 'to', 'describe', 'photoproduction', 'of', 'light', 'vector', 'mesons', 'we', 'fit', 'the', 'slac', 'data', 'and', 'make', 'predictions', 'for', 'the', 'energy', 'and', 'momentum', 'transfer', 'dependence', 'of', 'the', 'spindensity', 'matrix', 'elements', 'in', 'photoproduction', 'of', 'omega', 'rho0', 'and', 'phi', 'mesons', 'at', 'e_gamma', 'sim', '85', 'gev', 'which', 'are', 'soon', 'to', 'be', 'measured', 'at', 'jefferson', 'lab']] | [-0.02844230291891124, 0.2398138706196557, -0.16065457702630706, 0.10543162018834744, -0.08614870763726924, -0.12517506187258845, 0.05471485827665515, 0.36729282542671027, -0.20880341457954624, -0.23478973612777496, -0.11842936467943027, -0.41594584822131875, 0.04140520527991548, 0.12448161606178537, 0.11165191434127719, 0.1314312745163446, 0.069506403761344, 0.043539452840361675, -0.05779293338000251, -0.15154137661713257, 0.31524991403382857, 0.06275652234622262, 0.22914800328905122, 0.1677960595606189, 0.10274108355709662, 0.06507384958023434, 0.017159501319391687, -0.09970805548915737, -0.12982773241636, 0.04997206674970425, 0.30063528546720353, 0.09942707524781949, 0.11220401558175422, -0.36604396195003863, -0.08993428742120925, 0.11251075359943666, 0.10315032751838628, 0.06994198568843371, -0.018273329356146093, -0.3065701685682462, 0.1280751474561137, -0.2029562178476338, -0.12464565703473789, -0.12342592749107432, 0.02967816907422323, -0.055493318614664305, -0.3539166778301526, 0.05550055087364295, -0.12754945226601863, 0.09106776052922533, -0.09320001220003817, -0.22710858557701086, 0.00910710120214182, -0.051865723506923304, 0.06752588942834879, 0.18453928316012025, 0.1707647044227965, -0.11241607237280461, -0.1233618814710593, 0.3988642013680778, -0.04238599393386067, -0.14990704284425369, 0.04701817891429783, -0.2704278948929226, -0.10567367678965654, 0.11307585343979952, 0.2927611319331877, 0.053517992677689905, -0.16597067656224235, 0.08331648063980729, -0.0395049139113868, 0.1915136134219274, 0.1187132769713603, 0.05069723155088069, 0.14694231898899665, 0.17533460850704854, -0.06262735251986765, -0.010864482788172992, -0.12402315025642645, -0.033631080630839916, -0.42214393873878736, -0.10981661087849684, -0.05517905660120672, 0.09292980515512458, -0.011059222856522211, -0.03360836034673348, 0.35089833344937416, 0.05016993331771932, 0.3316275469893426, 0.039616627669729815, 0.3190009676802315, 0.10344829575338385, 0.05076772231902731, 0.15005289777100347, 0.3006579227778211, 0.2069290771165438, 0.19667255032905623, -0.24096491697587466, -0.044552870168812216, -0.01146288485707421] |
1,802.09404 | Model independent New Physics analysis in
$\Lambda_b\to\Lambda\mu^+\mu^-$ decay | We study the rare $\Lambda_b\to\Lambda\mu^+\mu^-$ decay in the Standard Model
and beyond. Beyond the Standard Model we include new vector and axial-vector
operators, scalar and pseudo-scalar operators, and tensor operators in the
effective Hamiltonian. Working in the helicity basis and using appropriate
parametrization of the $\Lambda_b \to \Lambda$ hadronic matrix elements, we
give expressions of hadronic and leptonic helicity amplitudes and derive
expression of double differential branching ratio with respect to dilepton
invariant mass squared and cosine of lepton angle. Appropriately integrating
the differential branching ratio over the lepton angle, we obtain the
longitudinal polarization fraction and the leptonic forward-backward asymmetry
and sequentially study the observables in the presence of the new couplings. To
analyze the implications of the new vector and axial-vector couplings, we
follow the current global fits to $b\to s\mu^+\mu^-$ data. While the impacts of
scalar couplings can be significant, exclusive $\bar{B}\to X_s\mu^+\mu^-$ data
imply stringent constraints on the tensor couplings and hence the effects on
$\Lambda_b\to\Lambda\mu^+\mu^-$ are negligible.
| hep-ph | we study the rare lambda_btolambdamumu decay in the standard model and beyond beyond the standard model we include new vector and axialvector operators scalar and pseudoscalar operators and tensor operators in the effective hamiltonian working in the helicity basis and using appropriate parametrization of the lambda_b to lambda hadronic matrix elements we give expressions of hadronic and leptonic helicity amplitudes and derive expression of double differential branching ratio with respect to dilepton invariant mass squared and cosine of lepton angle appropriately integrating the differential branching ratio over the lepton angle we obtain the longitudinal polarization fraction and the leptonic forwardbackward asymmetry and sequentially study the observables in the presence of the new couplings to analyze the implications of the new vector and axialvector couplings we follow the current global fits to bto smumu data while the impacts of scalar couplings can be significant exclusive barbto x_smumu data imply stringent constraints on the tensor couplings and hence the effects on lambda_btolambdamumu are negligible | [['we', 'study', 'the', 'rare', 'lambda_btolambdamumu', 'decay', 'in', 'the', 'standard', 'model', 'and', 'beyond', 'beyond', 'the', 'standard', 'model', 'we', 'include', 'new', 'vector', 'and', 'axialvector', 'operators', 'scalar', 'and', 'pseudoscalar', 'operators', 'and', 'tensor', 'operators', 'in', 'the', 'effective', 'hamiltonian', 'working', 'in', 'the', 'helicity', 'basis', 'and', 'using', 'appropriate', 'parametrization', 'of', 'the', 'lambda_b', 'to', 'lambda', 'hadronic', 'matrix', 'elements', 'we', 'give', 'expressions', 'of', 'hadronic', 'and', 'leptonic', 'helicity', 'amplitudes', 'and', 'derive', 'expression', 'of', 'double', 'differential', 'branching', 'ratio', 'with', 'respect', 'to', 'dilepton', 'invariant', 'mass', 'squared', 'and', 'cosine', 'of', 'lepton', 'angle', 'appropriately', 'integrating', 'the', 'differential', 'branching', 'ratio', 'over', 'the', 'lepton', 'angle', 'we', 'obtain', 'the', 'longitudinal', 'polarization', 'fraction', 'and', 'the', 'leptonic', 'forwardbackward', 'asymmetry', 'and', 'sequentially', 'study', 'the', 'observables', 'in', 'the', 'presence', 'of', 'the', 'new', 'couplings', 'to', 'analyze', 'the', 'implications', 'of', 'the', 'new', 'vector', 'and', 'axialvector', 'couplings', 'we', 'follow', 'the', 'current', 'global', 'fits', 'to', 'bto', 'smumu', 'data', 'while', 'the', 'impacts', 'of', 'scalar', 'couplings', 'can', 'be', 'significant', 'exclusive', 'barbto', 'x_smumu', 'data', 'imply', 'stringent', 'constraints', 'on', 'the', 'tensor', 'couplings', 'and', 'hence', 'the', 'effects', 'on', 'lambda_btolambdamumu', 'are', 'negligible']] | [-0.11076711208750464, 0.21754300652175956, -0.02123882288911513, 0.13391427900526465, -0.10177278703639735, -0.12512118178448692, 0.05804441742575872, 0.3009457173439101, -0.22821085875483682, -0.23752753195238607, 0.0031586200452947653, -0.29160602464664565, -0.06154860119387415, 0.10900232698392377, 0.08117897308761289, 0.10333693538566832, 0.05885020832846415, 0.003735594789827277, -0.09955252469907752, -0.16262825563700395, 0.3239969303600074, 0.024458981296973107, 0.23289250684265764, 0.10382223907881272, 0.056436591621152825, 0.028973679727822634, -0.11068888651843396, -0.0510051402014605, -0.12261339587373485, 0.07665911181114024, 0.1423218461528698, 0.10757672560823538, 0.05994848361504929, -0.38010444142711086, -0.05972084736665537, 0.16788761975151134, 0.14513529015138096, 0.0804542296678869, 0.011213486093698035, -0.3137543864044945, 0.07202925356625585, -0.19413004255049532, -0.09522372089985827, -0.1463165071772835, -0.007664469331040145, -0.036812473942094734, -0.38644316064783873, 0.11686846752335052, -0.03269846152754823, 0.012063119554695505, -0.035165226974912124, -0.23010085012636478, -0.036164162321860746, 0.0550893113676528, 0.15493017853084395, 0.02322930806484189, 0.16178912457992664, -0.16912401886801495, -0.15047279497180482, 0.37940796990936726, -0.14695447487308302, -0.255070967339442, 0.07892941541807807, -0.2152383869386608, -0.14221630346388642, 0.0860814147640413, 0.2630633654026604, 0.060576771186398606, -0.18977315530111516, 0.16087094880785122, -0.01869774792380978, 0.10322889348677133, 0.043963931780019255, 0.09699884184306452, 0.1916948726967625, 0.11405417911986017, 0.005963516369554567, 0.06216679733775857, -0.07313379780743676, -0.10910717094814555, -0.394966778420606, -0.14918974100363366, -0.04077489697663634, 0.07901508875642412, -0.13199150988503838, -0.10618631164572254, 0.4320517004213024, 0.09789870466563529, 0.27040356173258134, 0.0599785440043555, 0.3143998850021303, 0.1370621507268642, 0.09984880737000093, 0.04462918947154897, 0.32734748183370727, 0.23854919777234426, 0.12686353808222628, -0.2673226434546552, 0.05264787866172861, 0.0571462535906745] |
1,802.09405 | Improving Graph Convolutional Networks with Non-Parametric Activation
Functions | Graph neural networks (GNNs) are a class of neural networks that allow to
efficiently perform inference on data that is associated to a graph structure,
such as, e.g., citation networks or knowledge graphs. While several variants of
GNNs have been proposed, they only consider simple nonlinear activation
functions in their layers, such as rectifiers or squashing functions. In this
paper, we investigate the use of graph convolutional networks (GCNs) when
combined with more complex activation functions, able to adapt from the
training data. More specifically, we extend the recently proposed kernel
activation function, a non-parametric model which can be implemented easily,
can be regularized with standard $\ell_p$-norms techniques, and is smooth over
its entire domain. Our experimental evaluation shows that the proposed
architecture can significantly improve over its baseline, while similar
improvements cannot be obtained by simply increasing the depth or size of the
original GCN.
| cs.NE cs.LG stat.ML | graph neural networks gnns are a class of neural networks that allow to efficiently perform inference on data that is associated to a graph structure such as eg citation networks or knowledge graphs while several variants of gnns have been proposed they only consider simple nonlinear activation functions in their layers such as rectifiers or squashing functions in this paper we investigate the use of graph convolutional networks gcns when combined with more complex activation functions able to adapt from the training data more specifically we extend the recently proposed kernel activation function a nonparametric model which can be implemented easily can be regularized with standard ell_pnorms techniques and is smooth over its entire domain our experimental evaluation shows that the proposed architecture can significantly improve over its baseline while similar improvements cannot be obtained by simply increasing the depth or size of the original gcn | [['graph', 'neural', 'networks', 'gnns', 'are', 'a', 'class', 'of', 'neural', 'networks', 'that', 'allow', 'to', 'efficiently', 'perform', 'inference', 'on', 'data', 'that', 'is', 'associated', 'to', 'a', 'graph', 'structure', 'such', 'as', 'eg', 'citation', 'networks', 'or', 'knowledge', 'graphs', 'while', 'several', 'variants', 'of', 'gnns', 'have', 'been', 'proposed', 'they', 'only', 'consider', 'simple', 'nonlinear', 'activation', 'functions', 'in', 'their', 'layers', 'such', 'as', 'rectifiers', 'or', 'squashing', 'functions', 'in', 'this', 'paper', 'we', 'investigate', 'the', 'use', 'of', 'graph', 'convolutional', 'networks', 'gcns', 'when', 'combined', 'with', 'more', 'complex', 'activation', 'functions', 'able', 'to', 'adapt', 'from', 'the', 'training', 'data', 'more', 'specifically', 'we', 'extend', 'the', 'recently', 'proposed', 'kernel', 'activation', 'function', 'a', 'nonparametric', 'model', 'which', 'can', 'be', 'implemented', 'easily', 'can', 'be', 'regularized', 'with', 'standard', 'ell_pnorms', 'techniques', 'and', 'is', 'smooth', 'over', 'its', 'entire', 'domain', 'our', 'experimental', 'evaluation', 'shows', 'that', 'the', 'proposed', 'architecture', 'can', 'significantly', 'improve', 'over', 'its', 'baseline', 'while', 'similar', 'improvements', 'can', 'not', 'be', 'obtained', 'by', 'simply', 'increasing', 'the', 'depth', 'or', 'size', 'of', 'the', 'original', 'gcn']] | [-0.02317546245002118, 0.02053012476828532, -0.05559813484809279, 0.0723187462387125, -0.12755601987445436, -0.16316966353567178, 0.014575325769093522, 0.477202225628556, -0.2999829810467504, -0.3005062627359008, 0.10052826109526007, -0.24078308422828004, -0.24249587676703271, 0.20767057896037364, -0.09556864708547994, 0.09429595203116714, 0.12934562435522548, 0.048358215521197435, -0.07043477755889684, -0.2830790475731142, 0.31242284034125406, 0.048670251689040336, 0.28945111640139803, 0.030960455099690934, 0.08060147684086494, -0.02846934004579069, -0.0012911682042489653, 0.061397108547136085, -0.04890336501240836, 0.15733849968076968, 0.2778915365695396, 0.1740530990776891, 0.29365589697908634, -0.4669694086270673, -0.312246412133836, 0.15959992165341466, 0.16183668706155474, 0.07767174437208114, 0.035896999769975575, -0.29662550550720773, 0.1300190050348158, -0.19339058259628764, 0.003493162521420896, -0.15187359124193994, -0.04824237099715641, 0.06409796410268742, -0.27864085845720515, 0.012083805650852772, 0.06854830633494116, 0.009642498787859975, -0.0011416457135699132, -0.1276076220919942, -0.020466144882510005, 0.1258730603388723, -0.023847334527214166, 0.07684162497634486, 0.11894823286799575, -0.14720253791615723, -0.15493202714810186, 0.30985718919914595, -0.06897683455735495, -0.24318875179176225, 0.18396864665773552, -0.04062797912225431, -0.13954187253946249, 0.08678982930802771, 0.23082165302214575, 0.1123969856424726, -0.1631453720098211, 0.04717678788433257, -0.0391476768366739, 0.17733866903221324, 0.056420359440578695, -0.012587978933830143, 0.12166758544654363, 0.21055064927810346, 0.07061512805964976, 0.16339311313888275, -0.0862996188126232, -0.04958771863044715, -0.18889348234246378, -0.08910952384748376, -0.20836857650714108, 0.015181196696813167, -0.11656711375977144, -0.1611018907199582, 0.4547426905609718, 0.1605594644606506, 0.2390703167386201, 0.14720823326968543, 0.29660079306384335, 0.08319388592511187, 0.1971923655946739, 0.10879682747292377, 0.17003673180497447, 0.06047184101058817, 0.10174762995337092, -0.1282464748289639, 0.1183406265949843, 0.028786518682288577] |
1,802.09406 | Environmental Policy Regulation and Corporate Compliance in a Spatial
Evolutionary Game Model | We use an evolutionary game model to study the interplay between corporate
environmental compliance and enforcement promoted by the policy maker in a
country facing a pollution trap, i.e., a scenario in which the vast majority of
firms do not internalize their pollution negative externality and auditors do
not inspect firms. The game conflict is due to the trade-off in which firms are
better-off when they pollute and are not inspected, while social welfare is
maximized when auditors do not need to inspect socially responsible
corporations that account for pollution in their production decisions regarding
technology used and emission level. Starting with a well-mixed two-population
game model, there is no long-run equilibrium and the shares of polluters and
shirking auditors keep oscillating over time. In contrast, when firms and
auditors are allocated in a spatial network, the game displays a rich dynamics
depending on the inspecting cost. While the oscillatory behaviour is still
possible, there is a set of parameters for which a long run robust equilibrium
is achieved with the country leaving the pollution trap. On the other hand, an
excessively high inspection cost leads to an ineffective auditing process where
the few compliant firms are driven out of the country.
| physics.soc-ph cs.GT nlin.CG q-bio.PE | we use an evolutionary game model to study the interplay between corporate environmental compliance and enforcement promoted by the policy maker in a country facing a pollution trap ie a scenario in which the vast majority of firms do not internalize their pollution negative externality and auditors do not inspect firms the game conflict is due to the tradeoff in which firms are betteroff when they pollute and are not inspected while social welfare is maximized when auditors do not need to inspect socially responsible corporations that account for pollution in their production decisions regarding technology used and emission level starting with a wellmixed twopopulation game model there is no longrun equilibrium and the shares of polluters and shirking auditors keep oscillating over time in contrast when firms and auditors are allocated in a spatial network the game displays a rich dynamics depending on the inspecting cost while the oscillatory behaviour is still possible there is a set of parameters for which a long run robust equilibrium is achieved with the country leaving the pollution trap on the other hand an excessively high inspection cost leads to an ineffective auditing process where the few compliant firms are driven out of the country | [['we', 'use', 'an', 'evolutionary', 'game', 'model', 'to', 'study', 'the', 'interplay', 'between', 'corporate', 'environmental', 'compliance', 'and', 'enforcement', 'promoted', 'by', 'the', 'policy', 'maker', 'in', 'a', 'country', 'facing', 'a', 'pollution', 'trap', 'ie', 'a', 'scenario', 'in', 'which', 'the', 'vast', 'majority', 'of', 'firms', 'do', 'not', 'internalize', 'their', 'pollution', 'negative', 'externality', 'and', 'auditors', 'do', 'not', 'inspect', 'firms', 'the', 'game', 'conflict', 'is', 'due', 'to', 'the', 'tradeoff', 'in', 'which', 'firms', 'are', 'betteroff', 'when', 'they', 'pollute', 'and', 'are', 'not', 'inspected', 'while', 'social', 'welfare', 'is', 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1,802.09407 | Search for a heavy resonance decaying to a pair of vector bosons in the
lepton plus merged jet final state at $\sqrt{s} =$ 13 TeV | A search for a new heavy particle decaying to a pair of vector bosons (WW or
WZ) is presented using data from the CMS detector corresponding to an
integrated luminosity of 35.9 fb$^{-1}$ collected in proton-proton collisions
at a centre-of-mass energy of 13 TeV in 2016. One of the bosons is required to
be a W boson decaying to e$\nu$ or $\mu\nu$, while the other boson is required
to be reconstructed as a single massive jet with substructure compatible with
that of a highly-energetic quark pair from a W or Z boson decay. The search is
performed in the resonance mass range between 1.0 and 4.5 TeV. The largest
deviation from the background-only hypothesis is observed for a mass near 1.4
TeV and corresponds to a local significance of 2.5 standard deviations. The
result is interpreted as an upper bound on the resonance production cross
section. Comparing the excluded cross section values and the expectations from
theoretical calculations in the bulk graviton and heavy vector triplet models,
spin-2 WW resonances with mass smaller than 1.07 TeV and spin-1 WZ resonances
lighter than 3.05 TeV, respectively, are excluded at 95% confidence level.
| hep-ex | a search for a new heavy particle decaying to a pair of vector bosons ww or wz is presented using data from the cms detector corresponding to an integrated luminosity of 359 fb1 collected in protonproton collisions at a centreofmass energy of 13 tev in 2016 one of the bosons is required to be a w boson decaying to enu or munu while the other boson is required to be reconstructed as a single massive jet with substructure compatible with that of a highlyenergetic quark pair from a w or z boson decay the search is performed in the resonance mass range between 10 and 45 tev the largest deviation from the backgroundonly hypothesis is observed for a mass near 14 tev and corresponds to a local significance of 25 standard deviations the result is interpreted as an upper bound on the resonance production cross section comparing the excluded cross section values and the expectations from theoretical calculations in the bulk graviton and heavy vector triplet models spin2 ww resonances with mass smaller than 107 tev and spin1 wz resonances lighter than 305 tev respectively are excluded at 95 confidence level | [['a', 'search', 'for', 'a', 'new', 'heavy', 'particle', 'decaying', 'to', 'a', 'pair', 'of', 'vector', 'bosons', 'ww', 'or', 'wz', 'is', 'presented', 'using', 'data', 'from', 'the', 'cms', 'detector', 'corresponding', 'to', 'an', 'integrated', 'luminosity', 'of', '359', 'fb1', 'collected', 'in', 'protonproton', 'collisions', 'at', 'a', 'centreofmass', 'energy', 'of', '13', 'tev', 'in', '2016', 'one', 'of', 'the', 'bosons', 'is', 'required', 'to', 'be', 'a', 'w', 'boson', 'decaying', 'to', 'enu', 'or', 'munu', 'while', 'the', 'other', 'boson', 'is', 'required', 'to', 'be', 'reconstructed', 'as', 'a', 'single', 'massive', 'jet', 'with', 'substructure', 'compatible', 'with', 'that', 'of', 'a', 'highlyenergetic', 'quark', 'pair', 'from', 'a', 'w', 'or', 'z', 'boson', 'decay', 'the', 'search', 'is', 'performed', 'in', 'the', 'resonance', 'mass', 'range', 'between', '10', 'and', '45', 'tev', 'the', 'largest', 'deviation', 'from', 'the', 'backgroundonly', 'hypothesis', 'is', 'observed', 'for', 'a', 'mass', 'near', '14', 'tev', 'and', 'corresponds', 'to', 'a', 'local', 'significance', 'of', '25', 'standard', 'deviations', 'the', 'result', 'is', 'interpreted', 'as', 'an', 'upper', 'bound', 'on', 'the', 'resonance', 'production', 'cross', 'section', 'comparing', 'the', 'excluded', 'cross', 'section', 'values', 'and', 'the', 'expectations', 'from', 'theoretical', 'calculations', 'in', 'the', 'bulk', 'graviton', 'and', 'heavy', 'vector', 'triplet', 'models', 'spin2', 'ww', 'resonances', 'with', 'mass', 'smaller', 'than', '107', 'tev', 'and', 'spin1', 'wz', 'resonances', 'lighter', 'than', '305', 'tev', 'respectively', 'are', 'excluded', 'at', '95', 'confidence', 'level']] | [-0.03816975725093047, 0.23011494015239262, -0.04595681208951389, 0.16885613441267366, -0.05208131413009622, -0.1495590459053156, 0.03305584040997033, 0.31306194543779986, -0.16581711730144488, -0.36931778152146577, -0.0020648987417679807, -0.3766417669483426, 0.12171337701848352, 0.17529450791658766, 0.11164538472091184, 0.0905666492459747, 0.13662712764560553, 0.06422869130574088, -0.038046499242499005, -0.23618077684232858, 0.2451839594558096, 0.07665951980560706, 0.18314025581312118, 0.06343601710840825, 0.05336449390425985, 0.026878917322820783, -0.01138384536204918, -0.1122874375188928, -0.10219751897589359, 0.08589930020419623, 0.19041962721025835, 0.045163935786649505, 0.1395998931104678, -0.26555237478298666, -0.04945888672772483, 0.15896004586875517, 0.16492158898118278, 0.036663822014816105, -0.06380420088151187, -0.3602013271350745, 0.1759316212136825, -0.22563637992006322, -0.11657575637843284, 0.0732935348767007, 0.009111016540159106, -0.11904247565449737, -0.34119550929604714, 0.16655687292360002, -0.05184743793300933, 0.0630686118503888, -0.03817358447838555, -0.209846218479846, -0.13119516416369933, -0.07989237799445723, 0.0875716533375348, 0.09933975489864355, 0.194885444008204, -0.15166625535634898, -0.2198432404304128, 0.3545510442196075, -0.11987451255807277, -0.1525522972952638, 0.23558225032156674, -0.17837333741124856, -0.10266289718117545, 0.2257461196484522, 0.2683789344146087, 0.03901146500766355, -0.22106125238424665, 0.12314603598855427, 0.004884553885487206, 0.2212535959865937, 0.07620480202908837, 0.057376762084097296, 0.2406317842917039, 0.21949437128365312, -0.01595071864836113, 0.04640041726808361, -0.17084659589698334, -0.03747024597278284, -0.4351199706187423, -0.13433617215478033, -0.10193168882924225, 0.07348083434821502, -0.05485647588659563, -0.05000254103564353, 0.33246841651743464, 0.07535205919451582, 0.34989843207426097, 0.02349397079794819, 0.2481935589369484, 0.13778947770786934, 0.09653873865356113, 0.08147725887768488, 0.35899054545528836, 0.16029218484827984, 0.11586028510943562, -0.1368898775779608, -0.03718811223229774, 0.020185752426815362] |
1,802.09408 | Lattice QCD with QCDLAB | QCDLAB is a set of programs, written in GNU Octave, for lattice QCD
computations. Version 2.0 includes the generation of configurations for the
SU(3) theory, computation of rectangle Wilson loops as well as the low lying
meson spectrum with Wilson fermions. Version 2.1 includes also the computation
of the low lying meson spectrum using minimally doubled chiral fermions. In
this paper, we give a brief tutorial on lattice QCD computations using QCDLAB.
| hep-lat | qcdlab is a set of programs written in gnu octave for lattice qcd computations version 20 includes the generation of configurations for the su3 theory computation of rectangle wilson loops as well as the low lying meson spectrum with wilson fermions version 21 includes also the computation of the low lying meson spectrum using minimally doubled chiral fermions in this paper we give a brief tutorial on lattice qcd computations using qcdlab | [['qcdlab', 'is', 'a', 'set', 'of', 'programs', 'written', 'in', 'gnu', 'octave', 'for', 'lattice', 'qcd', 'computations', 'version', '20', 'includes', 'the', 'generation', 'of', 'configurations', 'for', 'the', 'su3', 'theory', 'computation', 'of', 'rectangle', 'wilson', 'loops', 'as', 'well', 'as', 'the', 'low', 'lying', 'meson', 'spectrum', 'with', 'wilson', 'fermions', 'version', '21', 'includes', 'also', 'the', 'computation', 'of', 'the', 'low', 'lying', 'meson', 'spectrum', 'using', 'minimally', 'doubled', 'chiral', 'fermions', 'in', 'this', 'paper', 'we', 'give', 'a', 'brief', 'tutorial', 'on', 'lattice', 'qcd', 'computations', 'using', 'qcdlab']] | [-0.15761497751939008, 0.18702065721542263, -0.03372214300907217, 0.07095788615859216, -0.056488101506450526, -0.12784079243687707, 0.06673028107292743, 0.3588576722993619, -0.11134710517298016, -0.2740070589093698, 0.13235768538369383, -0.27182936052688295, -0.07635149271098068, 0.13517395994212064, 0.007500488273055655, 0.06897672942917173, 0.09152650765867697, 0.019378431810764596, -0.0960257739902267, -0.2444474838881029, 0.27337751742581734, 0.020086971066323005, 0.2157902383349008, 0.12830168406556672, 0.016442380341080327, 0.06803136508420317, -0.04197074132712765, -0.03170856098747916, -0.06673628969130935, 0.12464051376769526, 0.19471950358840534, 0.058200772224356316, 0.13126822323020962, -0.35776747380279833, -0.13917130705926362, -0.0023179833725508717, 0.17279792580262032, 0.1524993392279915, -0.0005592487626320993, -0.21989460020429558, 0.06480640451061642, -0.2305939444858167, -0.1516067241059823, -0.11833351754790379, -0.07143734775794049, -0.09597941772598359, -0.26275193873637664, 0.007836102672525967, -0.06064060788452884, 0.17705958415495437, 0.02370819944836613, -0.1956879410168363, 0.001359123322698805, 0.05716793559905556, 0.01637924017894774, 0.10818776104133576, 0.11152997164673353, -0.14490568631057008, -0.19198902330794632, 0.5280539896339178, -0.11367910407069656, -0.17145325572022962, 0.08519793333673281, -0.12605807662475854, -0.19136034432126003, 0.1019144825895637, 0.15330380994257414, 0.10181314125657082, -0.1245663714232958, 0.174357104096594, -0.08947365306731728, 0.15899537782954415, 0.0884205418276704, 0.06326899723434407, 0.2300167116853926, 0.13878173696705037, -0.015278351803620657, 0.2020016848627064, 0.01034958683885634, -0.13740780481344295, -0.3965347488410771, -0.10727901807210098, -0.16217802212082055, 0.05861592726432718, -0.056955035659484565, -0.24727439105239077, 0.4149391860701144, 0.06929715050177442, 0.14951239603882036, 0.09022335514115791, 0.2955703519595166, 0.10983164813680762, 0.08807674655690789, 0.128755850051271, 0.12735725379186785, 0.20422885691126189, 0.18045408002540675, -0.21010815893532708, -0.1828973732966309, 0.1860166231635958] |
1,802.09409 | Reparametrization Invariance and Partial Re-Summations of the Heavy
Quark Expansion | We extend existing work on reparametrization invariance (RPI) of the
heavy-quark expansion. We discuss the total rates of inclusive processes and
obtain results which have a manifest RPI and can be expressed through matrix
elements of operators and states defined in full QCD. This approach leads to a
partial re-summation of higher-order terms in the heavy-quark expansion and has
the advantage that the number of independent parameters is reduced.
| hep-ph hep-th | we extend existing work on reparametrization invariance rpi of the heavyquark expansion we discuss the total rates of inclusive processes and obtain results which have a manifest rpi and can be expressed through matrix elements of operators and states defined in full qcd this approach leads to a partial resummation of higherorder terms in the heavyquark expansion and has the advantage that the number of independent parameters is reduced | [['we', 'extend', 'existing', 'work', 'on', 'reparametrization', 'invariance', 'rpi', 'of', 'the', 'heavyquark', 'expansion', 'we', 'discuss', 'the', 'total', 'rates', 'of', 'inclusive', 'processes', 'and', 'obtain', 'results', 'which', 'have', 'a', 'manifest', 'rpi', 'and', 'can', 'be', 'expressed', 'through', 'matrix', 'elements', 'of', 'operators', 'and', 'states', 'defined', 'in', 'full', 'qcd', 'this', 'approach', 'leads', 'to', 'a', 'partial', 'resummation', 'of', 'higherorder', 'terms', 'in', 'the', 'heavyquark', 'expansion', 'and', 'has', 'the', 'advantage', 'that', 'the', 'number', 'of', 'independent', 'parameters', 'is', 'reduced']] | [-0.10581670716350926, 0.14618678544850452, -0.13056978982859763, 0.05010102791171791, -0.04344328796909447, -0.00939443644028211, 0.0326088096059022, 0.3228000015344309, -0.21994066891003994, -0.22956599123721969, 0.07015441025715267, -0.26467918531726237, -0.09388033710285157, 0.1345147880712065, -0.029574162711429854, 0.08321655468772286, 0.08307958149310687, 0.01949073003766977, -0.13799549828526442, -0.2380146156942499, 0.32400851718325546, 0.040362590518982513, 0.22859328996012176, 0.14378990760693947, 0.1302710900326138, 0.04761965780019544, -0.0903920129859361, 0.018640144917088142, -0.09513377066605903, 0.1284121855869012, 0.23490188108838123, 0.10094595412068673, 0.168371950370678, -0.40627383747124585, -0.18410862287155527, 0.09686904111742109, 0.1801628211810105, 0.11582052403136386, 0.025200296345207353, -0.25048569336439064, 0.10119656137987107, -0.2418537506212791, -0.14661015884653814, -0.17886436729610938, -0.024717137865398243, 0.0018886160105466843, -0.330303987359925, 0.09807440052078902, 0.0478029440332582, 0.004358009141667381, 0.025321276372541553, -0.1313762269117802, -0.005200612007815769, 0.08957327560832103, 0.10673973202853855, 0.03203966412558288, 0.12871130727960364, -0.131135558253964, -0.14535226717091881, 0.4112549020193409, -0.0716423469433642, -0.2279632776516719, 0.1173671753672154, -0.15678455787238435, -0.13385555077938066, 0.10998612398659621, 0.19860328825703566, 0.14244358500708704, -0.15122170203729815, 0.1620955937710739, -0.04015808545754872, 0.12164393967300978, 0.08035246699886478, 0.11892537138951213, 0.08461418691887587, 0.11379136620224387, 0.03391927341336681, 0.11526923458112161, 0.013999450516522578, -0.10429190533519116, -0.36333984357939253, -0.1525642025028018, -0.11457661387470106, 0.06287171968690836, -0.1420073345201461, -0.12636555275083453, 0.40805102425181994, 0.14536594797222727, 0.26185455003186414, 0.05860870727169179, 0.2764469492755344, 0.2264919336952701, 0.12562552249679962, 0.03122879493225744, 0.23062444833255763, 0.15948559403203535, 0.06720119946892711, -0.26400990738276986, 0.056878273679024496, 0.13077357983675555] |
1,802.0941 | Infinitely many odd zeta values are irrational. By elementary means | In this small note, we provide an elementary proof of the fact that
infinitely many odd zeta values are irrational. For the first time, this
celebrated theorem been proven by Rivoal and Ball--Rivoal. The original proof
uses highly non-elementary methods like the saddle-point method and
Nesterenko's linear independence criterion. Recently, Zudilin has re-proven a
slightly weaker form of his important result that at least one of the odd zeta
values $\zeta(5),\zeta(7),\zeta(9)$ and $\zeta(11)$ is irrational, by
elementary means. His new main ingredient are certain 'twists by half' of
hypergeometric series. Generalizing this to 'higher twists' allows us to give a
purely elementary proof of the result of Rivoal and Ball--Rivoal.
| math.NT | in this small note we provide an elementary proof of the fact that infinitely many odd zeta values are irrational for the first time this celebrated theorem been proven by rivoal and ballrivoal the original proof uses highly nonelementary methods like the saddlepoint method and nesterenkos linear independence criterion recently zudilin has reproven a slightly weaker form of his important result that at least one of the odd zeta values zeta5zeta7zeta9 and zeta11 is irrational by elementary means his new main ingredient are certain twists by half of hypergeometric series generalizing this to higher twists allows us to give a purely elementary proof of the result of rivoal and ballrivoal | [['in', 'this', 'small', 'note', 'we', 'provide', 'an', 'elementary', 'proof', 'of', 'the', 'fact', 'that', 'infinitely', 'many', 'odd', 'zeta', 'values', 'are', 'irrational', 'for', 'the', 'first', 'time', 'this', 'celebrated', 'theorem', 'been', 'proven', 'by', 'rivoal', 'and', 'ballrivoal', 'the', 'original', 'proof', 'uses', 'highly', 'nonelementary', 'methods', 'like', 'the', 'saddlepoint', 'method', 'and', 'nesterenkos', 'linear', 'independence', 'criterion', 'recently', 'zudilin', 'has', 'reproven', 'a', 'slightly', 'weaker', 'form', 'of', 'his', 'important', 'result', 'that', 'at', 'least', 'one', 'of', 'the', 'odd', 'zeta', 'values', 'zeta5zeta7zeta9', 'and', 'zeta11', 'is', 'irrational', 'by', 'elementary', 'means', 'his', 'new', 'main', 'ingredient', 'are', 'certain', 'twists', 'by', 'half', 'of', 'hypergeometric', 'series', 'generalizing', 'this', 'to', 'higher', 'twists', 'allows', 'us', 'to', 'give', 'a', 'purely', 'elementary', 'proof', 'of', 'the', 'result', 'of', 'rivoal', 'and', 'ballrivoal']] | [-0.1570625937527255, 0.08794555674350303, -0.1718305677320774, 0.11983135615159339, -0.11851518848107769, -0.18285635732319377, 0.023398066070379364, 0.24405290784502248, -0.23356486480563468, -0.29387142266138294, 0.08386071760596178, -0.22133021530230132, -0.16898956736111842, 0.2526967927745176, -0.10672279179027867, 0.03937555340982743, 0.011398693929007704, 0.031621227039017825, -0.018212291078829983, -0.32460012332185967, 0.31994767287113796, 0.000314304319962244, 0.18695815932432855, 0.07895680777878082, 0.09143122375312361, 0.0845024589056132, -0.03879085877790637, -0.06100502950801523, -0.14244957573761535, 0.15137154356482516, 0.24598849665612801, 0.06555612171453279, 0.30939517455568555, -0.3773783532338678, -0.10483791245523533, 0.12236504258861372, 0.1371663179090503, 0.07238208138546266, -0.011000154403234841, -0.23814930393437453, 0.10098358531858465, -0.16978484042279354, -0.20405951003467135, -0.1137636167877311, 0.05850553883393423, 0.032981694633260776, -0.22995235962331842, 0.061768342730153455, 0.19585435483775554, 0.10946118863248223, -0.010131371558383277, -0.18472020891537771, 0.03823283751742965, 0.06591175498287065, 0.10223832217775661, 0.03574443932883271, 0.020784788534318636, -0.04556582229203382, -0.10484925329625401, 0.30889710645541685, -0.03670778613400842, -0.16412014458243043, 0.1610629031671758, -0.1380393899199681, -0.1931817490744208, 0.1556756439781107, 0.03912427086263485, 0.1772193923579751, -0.07463088077322128, 0.11791571626362793, -0.13464211831467415, 0.11027892772108316, 0.1604550966241081, -0.008172893822470833, 0.11964948383777257, 0.021703792635005378, 0.06980981820833297, 0.1554750259784093, 0.05716955631014404, -0.06994827447668436, -0.32752797632144953, -0.19772901299378595, -0.16494354028444322, 0.12143386266442067, -0.0909349643908347, -0.15583216171677505, 0.37926906932341875, 0.08781202698827063, 0.1594237537131807, 0.11509065875151289, 0.2572066920783815, 0.157196752141751, 0.06442045789038968, 0.021294507733118986, 0.1659761172903001, 0.19673252323377502, 0.04592915162136522, -0.08673065604744565, 0.05876405379273544, 0.24202960302814022] |
1,802.09411 | Principles of Bayesian Inference using General Divergence Criteria | When it is acknowledged that all candidate parameterised statistical models
are misspecified relative to the data generating process, the decision maker
(DM) must currently concern themselves with inference for the parameter value
minimising the KL-divergence between the model and the process (Walker, 2013).
However, it has long been known that minimising the KL-divergence places a
large weight on correctly capturing the tails of the sample distribution. As a
result the DM is required to worry about the robustness of their model to tail
misspecifications if they want to conduct principled inference. In this paper
we alleviate these concerns for the DM. We advance recent methodological
developments in general Bayesian updating (Bissiri, Holmes and Walker, 2016) to
propose a statistically well principled Bayesian updating of beliefs targeting
the minimisation of more general divergence criteria. We improve both the
motivation and the statistical foundations of existing Bayesian minimum
divergence estimation (Hooker and Vidyashankar, 2014; Ghosh and Basu, 2016),
allowing the well principled Bayesian to target predictions from the model that
are close to the genuine model in terms of some alternative divergence measure
to the KL-divergence. Our principled formulation allows us to consider a
broader range of divergences than have previously been considered. In fact we
argue defining the divergence measure forms an important, subjective part of
any statistical analysis, and aim to provide some decision theoretic rational
for this selection. We illustrate how targeting alternative divergence measures
can impact the conclusions of simple inference tasks, and discuss then how our
methods might apply to more complicated, high dimensional models.
| math.ST stat.TH | when it is acknowledged that all candidate parameterised statistical models are misspecified relative to the data generating process the decision maker dm must currently concern themselves with inference for the parameter value minimising the kldivergence between the model and the process walker 2013 however it has long been known that minimising the kldivergence places a large weight on correctly capturing the tails of the sample distribution as a result the dm is required to worry about the robustness of their model to tail misspecifications if they want to conduct principled inference in this paper we alleviate these concerns for the dm we advance recent methodological developments in general bayesian updating bissiri holmes and walker 2016 to propose a statistically well principled bayesian updating of beliefs targeting the minimisation of more general divergence criteria we improve both the motivation and the statistical foundations of existing bayesian minimum divergence estimation hooker and vidyashankar 2014 ghosh and basu 2016 allowing the well principled bayesian to target predictions from the model that are close to the genuine model in terms of some alternative divergence measure to the kldivergence our principled formulation allows us to consider a broader range of divergences than have previously been considered in fact we argue defining the divergence measure forms an important subjective part of any statistical analysis and aim to provide some decision theoretic rational for this selection we illustrate how targeting alternative divergence measures can impact the conclusions of simple inference tasks and discuss then how our methods might apply to more complicated high dimensional models | [['when', 'it', 'is', 'acknowledged', 'that', 'all', 'candidate', 'parameterised', 'statistical', 'models', 'are', 'misspecified', 'relative', 'to', 'the', 'data', 'generating', 'process', 'the', 'decision', 'maker', 'dm', 'must', 'currently', 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1,802.09412 | On the automorphism group of a symplectic half-flat 6-manifold | We prove that the automorphism group of a compact 6-manifold $M$ endowed with
a symplectic half-flat SU(3)-structure has abelian Lie algebra with dimension
bounded by min$\{5,b_1(M)\}$. Moreover, we study the properties of the
automorphism group action and we discuss relevant examples. In particular, we
provide new complete examples on $T\mathbb{S}^3$ which are invariant under a
cohomogeneity one action of SO(4).
| math.DG hep-th | we prove that the automorphism group of a compact 6manifold m endowed with a symplectic halfflat su3structure has abelian lie algebra with dimension bounded by min5b_1m moreover we study the properties of the automorphism group action and we discuss relevant examples in particular we provide new complete examples on tmathbbs3 which are invariant under a cohomogeneity one action of so4 | [['we', 'prove', 'that', 'the', 'automorphism', 'group', 'of', 'a', 'compact', '6manifold', 'm', 'endowed', 'with', 'a', 'symplectic', 'halfflat', 'su3structure', 'has', 'abelian', 'lie', 'algebra', 'with', 'dimension', 'bounded', 'by', 'min5b_1m', 'moreover', 'we', 'study', 'the', 'properties', 'of', 'the', 'automorphism', 'group', 'action', 'and', 'we', 'discuss', 'relevant', 'examples', 'in', 'particular', 'we', 'provide', 'new', 'complete', 'examples', 'on', 'tmathbbs3', 'which', 'are', 'invariant', 'under', 'a', 'cohomogeneity', 'one', 'action', 'of', 'so4']] | [-0.23590754357905225, 0.1133266473510142, -0.07438519352982784, 0.033467171248048544, -0.18889356906333105, -0.1443529204256704, -0.04638790912476593, 0.42907651706502353, -0.22063089765865226, -0.2109520535691288, 0.16515291791112194, -0.2539787227769607, -0.20362609803098544, 0.1877338992359502, -0.16161251888642536, -0.06149496586094129, 0.06631988859414284, 0.19521215360196195, -0.15931493510363687, -0.28504655121600836, 0.4960406513178143, -0.06738131278965237, 0.1819591827947518, 0.015132885100119266, 0.19648231450339843, -0.03730313095328366, 0.008502962818401384, -0.0015716420101194546, -0.17244546200966177, 0.10657113393897126, 0.238477924324829, 0.017460917467893713, 0.1359442986933322, -0.37089876888384077, -0.18000420775457188, 0.16695923705039353, 0.10244921639015706, 0.0172023254442671, -0.11785350330294399, -0.33826154325928154, 0.1280570126395544, -0.2018535153876091, -0.19097084393885372, -0.1408744684645328, 0.05778037975662677, -0.06732479709698337, -0.19122064232440858, -0.027227480743273066, 0.105583838897693, 0.1398051237117435, -0.09711164803693778, -0.040724048920874965, -0.09224228360208458, 0.0919304581274728, 0.010363481521349529, 0.03421618979311837, 0.11343850623334534, -0.04916257082067173, -0.15059771354245985, 0.4026427625373391, -0.09685754514267218, -0.2955210543526658, 0.15164533880507125, -0.17303491790040298, -0.24370723811042463, 0.08606295206519807, 0.14567320888605098, 0.1906105288111701, -0.029309101547275125, 0.2517632124975629, -0.16934779908604405, 0.055583711713552475, 0.049914774011242495, 0.014349879929795861, 0.09240053586083753, 0.13853261425513133, 0.13446000371738498, 0.16039604423085935, 0.07814723912000271, -0.019620603656974333, -0.3966661971704713, -0.16839743283143715, -0.04257840259353919, 0.21286882028577786, -0.11214210597997941, -0.12785559629314933, 0.43591701708220204, 0.04701567670844238, 0.1550529096114995, 0.107265774178688, 0.16953733460656528, 0.01585929695083278, 0.08396127009122022, 0.12042577307799766, 0.10710858539196438, 0.20876685112859283, -0.15446798987526061, -0.15492493469781918, -0.1383563408965309, 0.21222148678372896] |
1,802.09413 | An efficient explicit full-discrete scheme for strong approximation of
stochastic Allen-Cahn equation | In Becker and Jentzen (2019) and Becker et al. (2017), an explicit temporal
semi-discretization scheme and a space-time full-discretization scheme were,
respectively, introduced and analyzed for the additive noise-driven stochastic
Allen-Cahn type equations, with strong convergence rates recovered. The present
work aims to propose a different explicit full-discrete scheme to numerically
solve the stochastic Allen-Cahn equation with cubic nonlinearity, perturbed by
additive space-time white noise. The approximation is easily implementable,
performing the spatial discretization by a spectral Galerkin method and the
temporal discretization by a kind of nonlinearity-tamed accelerated exponential
integrator scheme. Error bounds in a strong sense are analyzed for both the
spatial semi-discretization and the spatio-temporal full discretization, with
convergence rates in both space and time explicitly identified. It turns out
that the obtained convergence rate of the new scheme is, in the temporal
direction, twice as high as existing ones in the literature. Numerical results
are finally reported to confirm the previous theoretical findings.
| math.NA cs.NA math.PR | in becker and jentzen 2019 and becker et al 2017 an explicit temporal semidiscretization scheme and a spacetime fulldiscretization scheme were respectively introduced and analyzed for the additive noisedriven stochastic allencahn type equations with strong convergence rates recovered the present work aims to propose a different explicit fulldiscrete scheme to numerically solve the stochastic allencahn equation with cubic nonlinearity perturbed by additive spacetime white noise the approximation is easily implementable performing the spatial discretization by a spectral galerkin method and the temporal discretization by a kind of nonlinearitytamed accelerated exponential integrator scheme error bounds in a strong sense are analyzed for both the spatial semidiscretization and the spatiotemporal full discretization with convergence rates in both space and time explicitly identified it turns out that the obtained convergence rate of the new scheme is in the temporal direction twice as high as existing ones in the literature numerical results are finally reported to confirm the previous theoretical findings | [['in', 'becker', 'and', 'jentzen', '2019', 'and', 'becker', 'et', 'al', '2017', 'an', 'explicit', 'temporal', 'semidiscretization', 'scheme', 'and', 'a', 'spacetime', 'fulldiscretization', 'scheme', 'were', 'respectively', 'introduced', 'and', 'analyzed', 'for', 'the', 'additive', 'noisedriven', 'stochastic', 'allencahn', 'type', 'equations', 'with', 'strong', 'convergence', 'rates', 'recovered', 'the', 'present', 'work', 'aims', 'to', 'propose', 'a', 'different', 'explicit', 'fulldiscrete', 'scheme', 'to', 'numerically', 'solve', 'the', 'stochastic', 'allencahn', 'equation', 'with', 'cubic', 'nonlinearity', 'perturbed', 'by', 'additive', 'spacetime', 'white', 'noise', 'the', 'approximation', 'is', 'easily', 'implementable', 'performing', 'the', 'spatial', 'discretization', 'by', 'a', 'spectral', 'galerkin', 'method', 'and', 'the', 'temporal', 'discretization', 'by', 'a', 'kind', 'of', 'nonlinearitytamed', 'accelerated', 'exponential', 'integrator', 'scheme', 'error', 'bounds', 'in', 'a', 'strong', 'sense', 'are', 'analyzed', 'for', 'both', 'the', 'spatial', 'semidiscretization', 'and', 'the', 'spatiotemporal', 'full', 'discretization', 'with', 'convergence', 'rates', 'in', 'both', 'space', 'and', 'time', 'explicitly', 'identified', 'it', 'turns', 'out', 'that', 'the', 'obtained', 'convergence', 'rate', 'of', 'the', 'new', 'scheme', 'is', 'in', 'the', 'temporal', 'direction', 'twice', 'as', 'high', 'as', 'existing', 'ones', 'in', 'the', 'literature', 'numerical', 'results', 'are', 'finally', 'reported', 'to', 'confirm', 'the', 'previous', 'theoretical', 'findings']] | [-0.10568737633406154, 0.02699527995024372, -0.08904559589441746, 0.0785116917258429, -0.05132341762824404, -0.1517343038903369, 0.036272683433227, 0.3834501753050473, -0.266985368551386, -0.29747544722932, 0.128145238221623, -0.20907515206884952, -0.15853627882897853, 0.19245741201204158, -0.08749258597080986, 0.11894555366673176, 0.057495800398230074, -0.057636629667268284, -0.07581336331974355, -0.29058592415324624, 0.2617079895350241, 0.09018411717167304, 0.289570746462672, -0.019198560519444366, 0.159291589662673, -0.06739700541365892, -0.10277072803507889, 0.01273000586398637, -0.1527174375487976, 0.07238624794934426, 0.21225135431534822, 0.04204305004358532, 0.31652593400569695, -0.38690378601031916, -0.26423714798424514, 0.04622490393418458, 0.15063738912426597, 0.13207162868592046, -0.059140337225530415, -0.3359482314768097, 0.08637665388730144, -0.15279541372531844, -0.1598938797360226, -0.11891842332458304, -0.011017585523246276, 0.07736417597437638, -0.31226681670354256, 0.13695983752428043, 0.09694004836342027, 0.011824539751415291, -0.063008518129467, -0.08438698547712016, -0.0031893331136914993, 0.045761607199787134, 0.019277701149844836, 0.006896085197466516, 0.010177727277961469, -0.030713245810400094, -0.11990000965907388, 0.32530256378531996, -0.12117593732264434, -0.2506635234157945, 0.15398185278599774, -0.1045378869204151, -0.08387604664650655, 0.159643239756265, 0.16741223149602452, 0.1454056801094163, -0.16195736397057772, 0.11561013021874392, 0.005999572181533421, 0.15994842937216164, 0.08566454945793076, 0.017178975057698064, 0.030512858939266974, 0.14393938294341488, 0.0679426618971892, 0.0926135481169988, -0.07743997780395852, -0.1629656872851023, -0.3068527963553225, -0.09871462599764909, -0.15761484474905074, -0.009685206599533558, -0.1371014256677177, -0.12010576339408514, 0.3484067300871351, 0.12899546482630314, 0.14130610280459927, 0.08624543760031943, 0.30355643913179875, 0.17733069810745938, -0.04343208008588502, 0.11206736172218018, 0.2172698509594005, 0.1519511194298825, 0.16286996461511138, -0.25181373893133097, 0.045663245800401896, 0.18801372154585777] |
1,802.09414 | Nuclear Spin Noise in the Central Spin Model | We study theoretically the spin fluctuations of nuclei in quantum dots. We
employ the central spin model which accounts for the hyperfine interaction of
the nuclei with the electron spin. We present an analytical solution in the
frame of the box model approximation where all hyperfine coupling constants are
assumed to be equal. These results are in good agreement with numerical
simulations. We demonstrate that in rather high magnetic field the nuclear spin
noise spectra has a two-peak structure centered at the nuclear Zeeman frequency
with the shape of the spectrum controlled by the distribution of the hyperfine
constants.
| cond-mat.mes-hall cond-mat.stat-mech quant-ph | we study theoretically the spin fluctuations of nuclei in quantum dots we employ the central spin model which accounts for the hyperfine interaction of the nuclei with the electron spin we present an analytical solution in the frame of the box model approximation where all hyperfine coupling constants are assumed to be equal these results are in good agreement with numerical simulations we demonstrate that in rather high magnetic field the nuclear spin noise spectra has a twopeak structure centered at the nuclear zeeman frequency with the shape of the spectrum controlled by the distribution of the hyperfine constants | [['we', 'study', 'theoretically', 'the', 'spin', 'fluctuations', 'of', 'nuclei', 'in', 'quantum', 'dots', 'we', 'employ', 'the', 'central', 'spin', 'model', 'which', 'accounts', 'for', 'the', 'hyperfine', 'interaction', 'of', 'the', 'nuclei', 'with', 'the', 'electron', 'spin', 'we', 'present', 'an', 'analytical', 'solution', 'in', 'the', 'frame', 'of', 'the', 'box', 'model', 'approximation', 'where', 'all', 'hyperfine', 'coupling', 'constants', 'are', 'assumed', 'to', 'be', 'equal', 'these', 'results', 'are', 'in', 'good', 'agreement', 'with', 'numerical', 'simulations', 'we', 'demonstrate', 'that', 'in', 'rather', 'high', 'magnetic', 'field', 'the', 'nuclear', 'spin', 'noise', 'spectra', 'has', 'a', 'twopeak', 'structure', 'centered', 'at', 'the', 'nuclear', 'zeeman', 'frequency', 'with', 'the', 'shape', 'of', 'the', 'spectrum', 'controlled', 'by', 'the', 'distribution', 'of', 'the', 'hyperfine', 'constants']] | [-0.1251727058881461, 0.1545714936232385, -0.03461898404886156, 0.052788777907162604, 0.0358188660213291, -0.10352171592960002, -0.010015492285178467, 0.44043897908895907, -0.21655074735595423, -0.2820139392232052, -0.004826077396482832, -0.27374432144705396, -0.04954362005898447, 0.16631838769153362, 0.08135499558740794, 0.005890029456673397, -0.004267385471118332, 0.03571445492538388, -0.07678435129616785, -0.15382814958381155, 0.33288032781671395, 0.08045211006685, 0.2419290179010443, 0.06702113881556675, 0.06892392682758244, 0.0038747996976128732, 0.06359687148395812, -0.010354031300680204, -0.1537167503187025, 0.09851082427558874, 0.21962148083827807, -0.027007036569594134, 0.2012753351944301, -0.44132659399900775, -0.16881685998441295, 0.06805337741359542, 0.1367215455928347, 0.19811403700221103, -0.0729496871601, -0.2698703563649847, 0.04276263536038724, -0.1718444085228398, -0.1379412116548705, -0.12225717401150803, -0.016380427935574617, 0.06013733323315403, -0.279723630463728, 0.10612277856868024, 0.03333495286377994, 0.056617420486579036, -0.13326321310137934, -0.1296753883032561, 0.012586592706014412, 0.11821271371533812, 0.0568295031047492, 0.035317031367954735, 0.14744768738088132, -0.11787247631435442, -0.1210982003531447, 0.3833025892763728, -0.10074490593802748, -0.1783070665022189, 0.11275112014169796, -0.2524415960257892, -0.09676788980141282, 0.13615399638585973, 0.12962467202709782, 0.09831394648386373, -0.12111382341339262, 0.10775025226081712, -0.043299431385792266, 0.20001970425323404, -0.0012848780048314971, 0.06660033872924602, 0.2195582278072834, 0.14403885113771517, 0.0008769261114525073, 0.09678446867554966, -0.15054888075989004, -0.1262285858627898, -0.2650196622925425, -0.07643890502683894, -0.2232179766852465, 0.07379233909563886, -0.11337492678954143, -0.11632222998793228, 0.428612258661576, 0.1207447758301942, 0.20403373754122342, -0.025629214757837054, 0.2914050402439604, 0.1351022029653041, 0.04413842633742877, 0.07307413857279703, 0.3088687369882157, 0.22120184974387438, 0.03856512652992299, -0.328804885726328, 0.02639730948239866, -0.012181318341519195] |
1,802.09415 | Tuning transport properties on graphene multi-terminal structures by
mechanical deformations | Straintronic devices made of carbon-based materials have been pushed up due
to the graphene high mechanical flexibility and the possibility of interesting
changes in transport properties. Properly designed strained systems have been
proposed to allow optimized transport responses that can be explored in
experimental realizations. In multi-terminal systems, comparisons between
schemes with different geometries are important to characterize the
modifications introduced by mechanical deformations, specially if the
deformations are localized at a central part of the system or extended in a
large region. Then, in the present analysis, we study the strain effects on the
transport properties of triangular and hexagonal graphene flakes, with zigzag
and armchair edges, connected to three electronic terminals, formed by
semi-infinite graphene nanoribbons. Using the Green's function formalism with
circular renormalization schemes, and a single band tight-binding
approximation, we find that resonant tunneling transport becomes relevant and
is more affected by localized deformations in the hexagonal graphene flakes.
Moreover, triangular systems with deformation extended to the leads, like
longitudinal three-folded type, are shown as an interesting scenario for
building nanoscale waveguides for electronic current.
| cond-mat.mes-hall | straintronic devices made of carbonbased materials have been pushed up due to the graphene high mechanical flexibility and the possibility of interesting changes in transport properties properly designed strained systems have been proposed to allow optimized transport responses that can be explored in experimental realizations in multiterminal systems comparisons between schemes with different geometries are important to characterize the modifications introduced by mechanical deformations specially if the deformations are localized at a central part of the system or extended in a large region then in the present analysis we study the strain effects on the transport properties of triangular and hexagonal graphene flakes with zigzag and armchair edges connected to three electronic terminals formed by semiinfinite graphene nanoribbons using the greens function formalism with circular renormalization schemes and a single band tightbinding approximation we find that resonant tunneling transport becomes relevant and is more affected by localized deformations in the hexagonal graphene flakes moreover triangular systems with deformation extended to the leads like longitudinal threefolded type are shown as an interesting scenario for building nanoscale waveguides for electronic current | [['straintronic', 'devices', 'made', 'of', 'carbonbased', 'materials', 'have', 'been', 'pushed', 'up', 'due', 'to', 'the', 'graphene', 'high', 'mechanical', 'flexibility', 'and', 'the', 'possibility', 'of', 'interesting', 'changes', 'in', 'transport', 'properties', 'properly', 'designed', 'strained', 'systems', 'have', 'been', 'proposed', 'to', 'allow', 'optimized', 'transport', 'responses', 'that', 'can', 'be', 'explored', 'in', 'experimental', 'realizations', 'in', 'multiterminal', 'systems', 'comparisons', 'between', 'schemes', 'with', 'different', 'geometries', 'are', 'important', 'to', 'characterize', 'the', 'modifications', 'introduced', 'by', 'mechanical', 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1,802.09416 | A Quality Type-aware Annotated Corpus and Lexicon for Harassment
Research | Having a quality annotated corpus is essential especially for applied
research. Despite the recent focus of Web science community on researching
about cyberbullying, the community dose not still have standard benchmarks. In
this paper, we publish first, a quality annotated corpus and second, an
offensive words lexicon capturing different types type of harassment as (i)
sexual harassment, (ii) racial harassment, (iii) appearance-related harassment,
(iv) intellectual harassment, and (v) political harassment.We crawled data from
Twitter using our offensive lexicon. Then relied on the human judge to annotate
the collected tweets w.r.t. the contextual types because using offensive words
is not sufficient to reliably detect harassment. Our corpus consists of 25,000
annotated tweets in five contextual types. We are pleased to share this novel
annotated corpus and the lexicon with the research community. The instruction
to acquire the corpus has been published on the Git repository.
| cs.CL | having a quality annotated corpus is essential especially for applied research despite the recent focus of web science community on researching about cyberbullying the community dose not still have standard benchmarks in this paper we publish first a quality annotated corpus and second an offensive words lexicon capturing different types type of harassment as i sexual harassment ii racial harassment iii appearancerelated harassment iv intellectual harassment and v political harassmentwe crawled data from twitter using our offensive lexicon then relied on the human judge to annotate the collected tweets wrt the contextual types because using offensive words is not sufficient to reliably detect harassment our corpus consists of 25000 annotated tweets in five contextual types we are pleased to share this novel annotated corpus and the lexicon with the research community the instruction to acquire the corpus has been published on the git repository | [['having', 'a', 'quality', 'annotated', 'corpus', 'is', 'essential', 'especially', 'for', 'applied', 'research', 'despite', 'the', 'recent', 'focus', 'of', 'web', 'science', 'community', 'on', 'researching', 'about', 'cyberbullying', 'the', 'community', 'dose', 'not', 'still', 'have', 'standard', 'benchmarks', 'in', 'this', 'paper', 'we', 'publish', 'first', 'a', 'quality', 'annotated', 'corpus', 'and', 'second', 'an', 'offensive', 'words', 'lexicon', 'capturing', 'different', 'types', 'type', 'of', 'harassment', 'as', 'i', 'sexual', 'harassment', 'ii', 'racial', 'harassment', 'iii', 'appearancerelated', 'harassment', 'iv', 'intellectual', 'harassment', 'and', 'v', 'political', 'harassmentwe', 'crawled', 'data', 'from', 'twitter', 'using', 'our', 'offensive', 'lexicon', 'then', 'relied', 'on', 'the', 'human', 'judge', 'to', 'annotate', 'the', 'collected', 'tweets', 'wrt', 'the', 'contextual', 'types', 'because', 'using', 'offensive', 'words', 'is', 'not', 'sufficient', 'to', 'reliably', 'detect', 'harassment', 'our', 'corpus', 'consists', 'of', '25000', 'annotated', 'tweets', 'in', 'five', 'contextual', 'types', 'we', 'are', 'pleased', 'to', 'share', 'this', 'novel', 'annotated', 'corpus', 'and', 'the', 'lexicon', 'with', 'the', 'research', 'community', 'the', 'instruction', 'to', 'acquire', 'the', 'corpus', 'has', 'been', 'published', 'on', 'the', 'git', 'repository']] | [-0.0343737524122895, -0.009737902428216176, -0.008834801601167296, 0.13715315977780437, -0.26538684629854864, -0.13294954790117244, 0.08219825493214442, 0.4397688989632461, -0.19802409594117756, -0.36344299990762496, 0.045727988100007284, -0.41094620031317775, -0.08378954712813064, 0.16249147230762542, -0.15264498785918604, -0.054560074540065, 0.14673067096450274, 0.10452606437176885, 0.03181578980637452, -0.37493278761804233, 0.34381965850807833, -0.0017241080599823889, 0.36515540121661, 0.029163059548960184, 0.05963940266601767, -0.08481575061999996, -0.160793683940912, -0.008875040409588059, -0.07743783476664094, 0.16029348086383732, 0.3997148504959498, 0.32022674339921803, 0.4098034120676383, -0.38207424969845255, -0.13326393508329384, 0.07039861740137805, 0.12082774242268167, 0.10929690338023544, -0.04942440961546619, -0.45725711558709364, 0.09083272658065486, -0.23250417406736335, 0.06286605390450346, -0.08901087093678578, 0.06589846456633278, 0.007117513691822828, -0.18422966687546544, 0.05772765419563987, 0.03813300180760488, 0.23383617093360287, -0.004707785910257781, -0.09606421206303885, -0.005188226995786364, 0.24056082694384623, 0.09730297975360193, 0.02357252979729797, 0.17117825709939213, -0.17241623435943373, -0.12530484392707775, 0.39370101309892996, -0.01011934126137008, -0.1255765151868666, 0.2179707582502193, -0.032723134040052046, -0.18474769563099344, 0.05072536693171034, 0.2594132516836472, 0.045204530099511774, -0.21446868621180176, -0.02785528775076644, -0.07968036240150392, 0.2674345113468212, 0.13081893387814642, -0.05705053681953692, 0.18512330840761498, 0.22148529140436105, -0.05434870339346341, 0.08535670302808285, -0.049143077853188236, 0.041568942987819164, -0.20252916898289827, -0.10419047839937955, -0.13336220242633995, -0.011793781839873523, -0.0473502445962931, -0.19626048848059185, 0.4078682526736192, 0.23404010409541742, 0.06994360739211093, 0.06561670099503138, 0.2556531248076386, -0.11518137938872597, 0.1420916309055518, 0.10635338042219969, 0.11761769103738938, -0.08041917761577896, 0.2191101385733034, -0.14479552896412148, 0.18592221610015258, 0.018082586084295745] |
1,802.09417 | Baryon bags in strong coupling QCD | We discuss lattice QCD with one flavor of staggered fermions and show that in
the path integral the baryon contributions can be fully separated from quark
and diquark contributions. The baryonic degrees of freedom are independent of
the gauge field and the corresponding free fermion action describes the baryons
through the joint propagation of three quarks. The non-baryonic dynamics is
described by quark and diquark terms that couple to the gauge field. When
evaluating the quark and diquark contributions in the strong coupling limit the
partition function completely factorizes into baryon bags and a complementary
domain. Baryon bags are regions in space-time where the dynamics is described
by a single free fermion made out of three quarks propagating coherently as a
baryon. Outside the baryon bags the relevant degrees of freedom are monomers
and dimers for quarks and diquarks. The partition sum is a sum over all baryon
bag configurations and for each bag a free fermion determinant appears as a
weight factor.
| hep-lat cond-mat.other hep-ph | we discuss lattice qcd with one flavor of staggered fermions and show that in the path integral the baryon contributions can be fully separated from quark and diquark contributions the baryonic degrees of freedom are independent of the gauge field and the corresponding free fermion action describes the baryons through the joint propagation of three quarks the nonbaryonic dynamics is described by quark and diquark terms that couple to the gauge field when evaluating the quark and diquark contributions in the strong coupling limit the partition function completely factorizes into baryon bags and a complementary domain baryon bags are regions in spacetime where the dynamics is described by a single free fermion made out of three quarks propagating coherently as a baryon outside the baryon bags the relevant degrees of freedom are monomers and dimers for quarks and diquarks the partition sum is a sum over all baryon bag configurations and for each bag a free fermion determinant appears as a weight factor | [['we', 'discuss', 'lattice', 'qcd', 'with', 'one', 'flavor', 'of', 'staggered', 'fermions', 'and', 'show', 'that', 'in', 'the', 'path', 'integral', 'the', 'baryon', 'contributions', 'can', 'be', 'fully', 'separated', 'from', 'quark', 'and', 'diquark', 'contributions', 'the', 'baryonic', 'degrees', 'of', 'freedom', 'are', 'independent', 'of', 'the', 'gauge', 'field', 'and', 'the', 'corresponding', 'free', 'fermion', 'action', 'describes', 'the', 'baryons', 'through', 'the', 'joint', 'propagation', 'of', 'three', 'quarks', 'the', 'nonbaryonic', 'dynamics', 'is', 'described', 'by', 'quark', 'and', 'diquark', 'terms', 'that', 'couple', 'to', 'the', 'gauge', 'field', 'when', 'evaluating', 'the', 'quark', 'and', 'diquark', 'contributions', 'in', 'the', 'strong', 'coupling', 'limit', 'the', 'partition', 'function', 'completely', 'factorizes', 'into', 'baryon', 'bags', 'and', 'a', 'complementary', 'domain', 'baryon', 'bags', 'are', 'regions', 'in', 'spacetime', 'where', 'the', 'dynamics', 'is', 'described', 'by', 'a', 'single', 'free', 'fermion', 'made', 'out', 'of', 'three', 'quarks', 'propagating', 'coherently', 'as', 'a', 'baryon', 'outside', 'the', 'baryon', 'bags', 'the', 'relevant', 'degrees', 'of', 'freedom', 'are', 'monomers', 'and', 'dimers', 'for', 'quarks', 'and', 'diquarks', 'the', 'partition', 'sum', 'is', 'a', 'sum', 'over', 'all', 'baryon', 'bag', 'configurations', 'and', 'for', 'each', 'bag', 'a', 'free', 'fermion', 'determinant', 'appears', 'as', 'a', 'weight', 'factor']] | [-0.11625021156437833, 0.3443691552169564, -0.06890208727360184, 0.0915270866876171, -0.0898185674889596, -0.08757400149593782, 0.07385821971025296, 0.30169661073414095, -0.1949397403535439, -0.21359764234922782, -0.02727418003726659, -0.32389092232254935, -0.004839088439232916, 0.014604636913656823, 0.0890443703942458, 0.0008659703039958433, 0.03608539889058087, 0.07687093824593842, -0.038600591134188546, -0.2759668926916948, 0.3601681517745637, -0.09474190056146882, 0.2268562060580846, 0.13593819148358574, 0.11517721713674854, 0.024702863122102306, -0.03301934697636706, 0.001419512746409953, -0.06528100667943096, 0.02999868803726155, 0.1896727155680494, 0.04922790471581347, 0.1499943968531407, -0.3684183332977668, -0.21418836590708262, 0.09040109962624915, 0.20220657194067546, 0.1474370251528803, 0.0015921684294836196, -0.2929496939866832, 0.055907255168604245, -0.1890697405884968, -0.1494433921347572, -0.11529684399564942, -0.043508712395145754, -0.017763880098615688, -0.31602069294720064, 0.1014286609697927, -0.05505398303581733, -0.0029045179703392865, -0.009603943321511058, -0.22760293770158674, -0.06626681158707642, 0.0776836417518639, 0.09825960541661097, 0.09502217430118585, 0.13471111221856044, -0.237041028862122, -0.11293284173632052, 0.45482727112762766, -0.0808391199815744, -0.2513536757795266, 0.11428693194725076, -0.12503873053534625, -0.07444100527584187, 0.10410653208410996, 0.13243063588903795, 0.08176631458082945, -0.20578265831096204, 0.12496397630256198, -0.0723869975233462, 0.16739266896456126, 0.0978804901842188, 0.06536746864132811, 0.319108006571417, 0.13856715933945418, -0.012877040954043895, 0.12427126495896101, -0.0032248703157243554, -0.13473889327385216, -0.39188368201392926, -0.1193459078732398, -0.18876715329050034, 0.01411962770839776, -0.1291186830815052, -0.15953802530499506, 0.45074969144720883, 0.05730274985144429, 0.2090199851785198, -0.009569713947266066, 0.28833732730423334, 0.07677056667954872, 0.11518229067359874, 0.08720117914804652, 0.2056210072699683, 0.2103904620601447, 0.08009799718899664, -0.28392691455175817, -0.10967125318586637, 0.12949929099838517] |
1,802.09418 | Naturally light scalar particles: a generic and simple mechanism | The hierarchy problem in the Standard Model is usually understood as both a
technical problem of stability of the calculation of the quantum corrections to
the masses of the Higgs sector and of the unnatural difference between the
Planck and gauge breaking scales. Leaving aside the gauge sector, we implement
on a purely scalar model a mechanism for generating naturally light scalar
particles where both of these issues are solved. In this model, on top of terms
invariant under a continuous symmetry, a highly non-renormalizable term is
added to the action that explicitly breaks this symmetry down to a discrete
one. In the spontaneously broken phase, the mass of the pseudo-Goldstone is
then driven by quantum fluctuations to values that are non-vanishing but that
are generically, that is, without fine-tuning, orders of magnitude smaller than
the UV scale.
| hep-ph hep-th | the hierarchy problem in the standard model is usually understood as both a technical problem of stability of the calculation of the quantum corrections to the masses of the higgs sector and of the unnatural difference between the planck and gauge breaking scales leaving aside the gauge sector we implement on a purely scalar model a mechanism for generating naturally light scalar particles where both of these issues are solved in this model on top of terms invariant under a continuous symmetry a highly nonrenormalizable term is added to the action that explicitly breaks this symmetry down to a discrete one in the spontaneously broken phase the mass of the pseudogoldstone is then driven by quantum fluctuations to values that are nonvanishing but that are generically that is without finetuning orders of magnitude smaller than the uv scale | [['the', 'hierarchy', 'problem', 'in', 'the', 'standard', 'model', 'is', 'usually', 'understood', 'as', 'both', 'a', 'technical', 'problem', 'of', 'stability', 'of', 'the', 'calculation', 'of', 'the', 'quantum', 'corrections', 'to', 'the', 'masses', 'of', 'the', 'higgs', 'sector', 'and', 'of', 'the', 'unnatural', 'difference', 'between', 'the', 'planck', 'and', 'gauge', 'breaking', 'scales', 'leaving', 'aside', 'the', 'gauge', 'sector', 'we', 'implement', 'on', 'a', 'purely', 'scalar', 'model', 'a', 'mechanism', 'for', 'generating', 'naturally', 'light', 'scalar', 'particles', 'where', 'both', 'of', 'these', 'issues', 'are', 'solved', 'in', 'this', 'model', 'on', 'top', 'of', 'terms', 'invariant', 'under', 'a', 'continuous', 'symmetry', 'a', 'highly', 'nonrenormalizable', 'term', 'is', 'added', 'to', 'the', 'action', 'that', 'explicitly', 'breaks', 'this', 'symmetry', 'down', 'to', 'a', 'discrete', 'one', 'in', 'the', 'spontaneously', 'broken', 'phase', 'the', 'mass', 'of', 'the', 'pseudogoldstone', 'is', 'then', 'driven', 'by', 'quantum', 'fluctuations', 'to', 'values', 'that', 'are', 'nonvanishing', 'but', 'that', 'are', 'generically', 'that', 'is', 'without', 'finetuning', 'orders', 'of', 'magnitude', 'smaller', 'than', 'the', 'uv', 'scale']] | [-0.13912191551914305, 0.2426250344209805, -0.06813859219149943, 0.13029824369890697, -0.08197387973642975, -0.13640504376119192, 0.020044742276946057, 0.3082355645205151, -0.26753678221080074, -0.3149508424508183, 0.10806317328883713, -0.2608132561115359, -0.1004594067192596, 0.1234559391644628, -0.006984721660020126, 0.024903752054092034, -0.021059426908428526, 0.02283867623254596, -0.08863640556607963, -0.23188532351860372, 0.34447721439832146, 0.01746152446814475, 0.24084744257582485, 0.06761983130928602, 0.1077104664932383, -0.05799607812693559, 0.028061740815747475, -0.022647662125392886, -0.04457171275925762, 0.09532309386059237, 0.13532050472576226, 0.031205313722265586, 0.20969531246784912, -0.39540729885819653, -0.2054920268128626, 0.14151329261696208, 0.14040296475160058, 0.1335254183234782, -0.04651324871583316, -0.2824842988418928, 0.09037864344545464, -0.15961711047608676, -0.12990458247393533, -0.0772483253436487, -0.029531244448372636, -0.12194803324055628, -0.28347269241171685, 0.11682987758937036, 0.03863501163415503, 0.0317923235706985, -0.02369591183083105, -0.057936394924594875, -0.08105588583208188, 0.07206087625261558, 0.16285359183667172, 0.03146825034839466, 0.12385706597284508, -0.2155134728131141, -0.09830315219116291, 0.46700517482299736, -0.08616062160549716, -0.23165606660599672, 0.1425462769297208, -0.10515165459567113, -0.14488368987213765, 0.11430454898652607, 0.14107131095522124, 0.10686449063739376, -0.13957492088008186, 0.1593800978051782, -0.024955688606681087, 0.19272869401543902, 0.05085859076538379, 0.04284644134315676, 0.22874935540924038, 0.13038690740148118, 0.06480040903324666, 0.11098827931867994, 0.0021276889272722537, -0.1692751454918281, -0.3926082386000865, -0.09532322912760403, -0.1478358048412517, 0.04832659156966037, -0.0811807183998863, -0.14532662582570227, 0.4277943545223578, 0.15463760024800466, 0.2177610933760424, 0.0555120838360618, 0.30214472796997405, 0.13819286742785852, 0.129292830588647, 0.009633550320859944, 0.26564332833378645, 0.09189791390267403, 0.06500155930204884, -0.24127190925545342, -0.01468306125573598, 0.08279041003202176] |
1,802.09419 | Stochastic Hyperparameter Optimization through Hypernetworks | Machine learning models are often tuned by nesting optimization of model
weights inside the optimization of hyperparameters. We give a method to
collapse this nested optimization into joint stochastic optimization of weights
and hyperparameters. Our process trains a neural network to output
approximately optimal weights as a function of hyperparameters. We show that
our technique converges to locally optimal weights and hyperparameters for
sufficiently large hypernetworks. We compare this method to standard
hyperparameter optimization strategies and demonstrate its effectiveness for
tuning thousands of hyperparameters.
| cs.LG | machine learning models are often tuned by nesting optimization of model weights inside the optimization of hyperparameters we give a method to collapse this nested optimization into joint stochastic optimization of weights and hyperparameters our process trains a neural network to output approximately optimal weights as a function of hyperparameters we show that our technique converges to locally optimal weights and hyperparameters for sufficiently large hypernetworks we compare this method to standard hyperparameter optimization strategies and demonstrate its effectiveness for tuning thousands of hyperparameters | [['machine', 'learning', 'models', 'are', 'often', 'tuned', 'by', 'nesting', 'optimization', 'of', 'model', 'weights', 'inside', 'the', 'optimization', 'of', 'hyperparameters', 'we', 'give', 'a', 'method', 'to', 'collapse', 'this', 'nested', 'optimization', 'into', 'joint', 'stochastic', 'optimization', 'of', 'weights', 'and', 'hyperparameters', 'our', 'process', 'trains', 'a', 'neural', 'network', 'to', 'output', 'approximately', 'optimal', 'weights', 'as', 'a', 'function', 'of', 'hyperparameters', 'we', 'show', 'that', 'our', 'technique', 'converges', 'to', 'locally', 'optimal', 'weights', 'and', 'hyperparameters', 'for', 'sufficiently', 'large', 'hypernetworks', 'we', 'compare', 'this', 'method', 'to', 'standard', 'hyperparameter', 'optimization', 'strategies', 'and', 'demonstrate', 'its', 'effectiveness', 'for', 'tuning', 'thousands', 'of', 'hyperparameters']] | [-0.035842609179477826, 0.009258324291468376, -0.05188051226460153, 0.08555098136390543, -0.12927935733681634, -0.19333660012177592, 0.1166974229272455, 0.4989877332423237, -0.35622018203139305, -0.32672052827131537, 0.04943723370698059, -0.17419593926474808, -0.21401114832787288, 0.1751152994305206, -0.09056279651953705, 0.16144106685602483, 0.1800461788550906, -0.05818488956650808, -0.07229406604753985, -0.3367310624813572, 0.2882952485344417, 0.08593669264172647, 0.3020594762998544, -0.061834512411483696, 0.1775255379103501, -0.00925947904276351, 0.06531836168973573, -0.016653575614327565, -0.10398439024452057, 0.15408779721751453, 0.3014512135489332, 0.2208555283778835, 0.42193987284831347, -0.36057706736028194, -0.21819776786114312, 0.1597835818261263, 0.16023326414558273, 0.08246267221069761, 0.02104217949367705, -0.24196253951993726, 0.09524431390344121, -0.14211183500343136, 0.0010700472685996267, -0.20508713418218708, -0.07419022500315416, 0.09003455514487411, -0.4148155409022279, -0.001621724189525204, 0.047414766278095724, -0.014656827585505587, -0.06737858602095262, -0.16913178660685108, 0.013804878945285011, 0.06884208661393218, 0.04758072280639594, 0.025036756015781845, 0.19749166835875562, -0.13602260729558543, -0.17400314189061256, 0.2604159398913561, -0.043975750560916606, -0.2847343289869882, 0.12867915505055516, 0.026895618692616977, -0.1110274347399051, 0.12176050414286908, 0.27354365876609726, 0.14133311259294196, -0.13679971990530335, 0.039594269266845436, 0.0014491547093105812, 0.18208893470554835, 0.01811917692178949, -0.07766925585123577, 0.13956026990421205, 0.24684339466815194, 0.12404191225678438, 0.19316774666021091, -0.0828311108409599, -0.11898603047371753, -0.26253549016213845, -0.061997290643852294, -0.2288940359555584, 0.0015939300120364698, -0.1781569390851863, -0.21068399403953836, 0.45080484771391466, 0.2293080363278499, 0.25959704834080877, 0.14989164912895786, 0.2939129912161401, 0.0814675156517686, 0.09554857971878457, 0.12292641572587724, 0.1782949215932084, 0.06535683157701333, 0.05906830906003181, -0.2079079342213282, 0.08898118492548487, 0.057261979955780716] |
1,802.0942 | Multiferroic Micro-Motors with Deterministic Single Input Control | This paper describes a method for achieving continuous deterministic
360$^{\circ} $ magnetic moment rotations in single domain magnetoelastic discs,
and examines the performance bounds for a mechanically lossless multiferroic
bead-on-a-disc motor based on dipole coupling these discs to small magnetic
nanobeads. The continuous magnetic rotations are attained by controlling the
relative orientation of a four-fold anisotropy (e.g., cubic magnetocrystalline
anisotropy) with respect to the two-fold magnetoelastic anisotropy. This
approach produces continuous rotations from the quasi-static regime up through
operational frequencies of several GHz. Driving strains of only $\approx$90 to
180 ppm are required for operation of motors using existing materials. The
large operational frequencies and small sizes, with lateral dimensions of
$\approx$100s of nanometers, produce large power densities for the rotary
bead-on-a-disc motor, and a newly proposed linear variant, in a size range
where power dense alternative technologies do not currently exist.
| physics.app-ph | this paper describes a method for achieving continuous deterministic 360circ magnetic moment rotations in single domain magnetoelastic discs and examines the performance bounds for a mechanically lossless multiferroic beadonadisc motor based on dipole coupling these discs to small magnetic nanobeads the continuous magnetic rotations are attained by controlling the relative orientation of a fourfold anisotropy eg cubic magnetocrystalline anisotropy with respect to the twofold magnetoelastic anisotropy this approach produces continuous rotations from the quasistatic regime up through operational frequencies of several ghz driving strains of only approx90 to 180 ppm are required for operation of motors using existing materials the large operational frequencies and small sizes with lateral dimensions of approx100s of nanometers produce large power densities for the rotary beadonadisc motor and a newly proposed linear variant in a size range where power dense alternative technologies do not currently exist | [['this', 'paper', 'describes', 'a', 'method', 'for', 'achieving', 'continuous', 'deterministic', '360circ', 'magnetic', 'moment', 'rotations', 'in', 'single', 'domain', 'magnetoelastic', 'discs', 'and', 'examines', 'the', 'performance', 'bounds', 'for', 'a', 'mechanically', 'lossless', 'multiferroic', 'beadonadisc', 'motor', 'based', 'on', 'dipole', 'coupling', 'these', 'discs', 'to', 'small', 'magnetic', 'nanobeads', 'the', 'continuous', 'magnetic', 'rotations', 'are', 'attained', 'by', 'controlling', 'the', 'relative', 'orientation', 'of', 'a', 'fourfold', 'anisotropy', 'eg', 'cubic', 'magnetocrystalline', 'anisotropy', 'with', 'respect', 'to', 'the', 'twofold', 'magnetoelastic', 'anisotropy', 'this', 'approach', 'produces', 'continuous', 'rotations', 'from', 'the', 'quasistatic', 'regime', 'up', 'through', 'operational', 'frequencies', 'of', 'several', 'ghz', 'driving', 'strains', 'of', 'only', 'approx90', 'to', '180', 'ppm', 'are', 'required', 'for', 'operation', 'of', 'motors', 'using', 'existing', 'materials', 'the', 'large', 'operational', 'frequencies', 'and', 'small', 'sizes', 'with', 'lateral', 'dimensions', 'of', 'approx100s', 'of', 'nanometers', 'produce', 'large', 'power', 'densities', 'for', 'the', 'rotary', 'beadonadisc', 'motor', 'and', 'a', 'newly', 'proposed', 'linear', 'variant', 'in', 'a', 'size', 'range', 'where', 'power', 'dense', 'alternative', 'technologies', 'do', 'not', 'currently', 'exist']] | [-0.1839791302859405, 0.20733841528873082, 0.03722169690940907, -0.04330140085000059, -0.0906673552826101, -0.11580743632900219, 0.04622761606225285, 0.44116937819922314, -0.2674270259297412, -0.31263449370896484, 0.04855853584476922, -0.19252364849671721, -0.08525629999264535, 0.2460288380456589, -0.03786652428570433, 0.057266790576724576, -0.0007781950618558819, -0.03652282532277531, -0.034073336044852826, -0.16972251042413214, 0.20965812603632608, 0.019964335256836552, 0.32233806891177874, 0.01561228158559812, 0.1280510263885304, -0.051982638564473695, 0.08716314364953534, 0.029875343866254865, -0.12604762329357216, 0.1246138623294731, 0.2391192697957023, -0.015782231225402676, 0.23949118399574165, -0.42989124720949895, -0.17822750874768026, 0.05379383164319628, 0.08985234259666143, 0.14056125861943525, -0.03654179819758334, -0.24003070120301528, 0.0811213671931646, -0.14295893572958396, -0.11360621692163977, -0.12708672913520233, 0.013063491298479663, 0.07166762313252126, -0.2836247774708233, 0.09022322332864438, 0.10070346445850126, 0.13925047934500742, -0.07869912648870461, -0.1096502068972188, -0.003209946005591664, 0.09341343129188687, 0.06395563996815379, 0.046931782264964306, 0.18407485840725712, -0.08549285465615221, -0.10985669775602772, 0.3818529762118461, -0.04188680235698036, -0.17039448205901284, 0.1696743014769669, -0.18231038289124388, -0.12111653840053106, 0.19198114229231208, 0.1891585715499747, 0.10682209362309641, -0.14015977390353446, 0.05245154076196807, 0.034216219274178686, 0.22537588598240382, 0.11610781419954762, 0.031053502095755244, 0.22349649269734442, 0.17863523776548496, 0.09089133661220093, 0.16059727488301587, -0.13178612490225097, -0.056842488132120256, -0.2458673208290576, -0.09822129853494951, -0.20100791016559832, 0.05018422526378687, -0.1242486927182746, -0.169061381873452, 0.3794556187560269, 0.1224966890455318, 0.1530757915920665, 0.052950076242584895, 0.32994498683652584, 0.03568475660733015, 0.10321596854001931, 0.05521081855176422, 0.27157906522515457, 0.14224809541981126, 0.11634130939584819, -0.24695348499496333, 0.06740528036691788, -0.006277496779701956] |
1,802.09421 | Probing topological superconductors with emergent gravity | Topological superconductors are characterized by topological invariants that
describe the number and nature of their robust boundary modes. These invariants
must also have observable consequences in the bulk of the system, akin to the
quantized bulk Hall conductivity in the quantum Hall effect, but such
consequences are made elusive by the spontaneous breaking of $U(1)$ symmetry in
the superconductor. Here we focus on 2+1 dimensional spin-less $p$-wave
superconductors and show that emergent gravity serves as a natural bulk probe
for their topological invariant. This emergent gravity is due to the same
attractive interaction between fermions that leads to superconductivity, and is
therefore built into topological superconductors. The bulk response of a
topological superconductor to the emergent gravitational field is encoded in a
gravitational Chern-Simons term, and is related to the existence of robust
boundary modes via energy-momentum conservation, or gravitational anomaly
inflow. The gravitational Chern-Simons term implies a universal relation
between variations in the superconducting order parameter and the
energy-momentum currents and densities that they induce. The spontaneous
breaking of $U(1)$ symmetry in the superconductor leads to additional bulk
responses, encoded in a gravitational pseudo Chern-Simons term. Although not of
topological nature, these carry surprising similarities to the topological
responses of the gravitational Chern- Simons term. We show how these two types
of responses can be disentangled.
| cond-mat.mes-hall cond-mat.str-el hep-th | topological superconductors are characterized by topological invariants that describe the number and nature of their robust boundary modes these invariants must also have observable consequences in the bulk of the system akin to the quantized bulk hall conductivity in the quantum hall effect but such consequences are made elusive by the spontaneous breaking of u1 symmetry in the superconductor here we focus on 21 dimensional spinless pwave superconductors and show that emergent gravity serves as a natural bulk probe for their topological invariant this emergent gravity is due to the same attractive interaction between fermions that leads to superconductivity and is therefore built into topological superconductors the bulk response of a topological superconductor to the emergent gravitational field is encoded in a gravitational chernsimons term and is related to the existence of robust boundary modes via energymomentum conservation or gravitational anomaly inflow the gravitational chernsimons term implies a universal relation between variations in the superconducting order parameter and the energymomentum currents and densities that they induce the spontaneous breaking of u1 symmetry in the superconductor leads to additional bulk responses encoded in a gravitational pseudo chernsimons term although not of topological nature these carry surprising similarities to the topological responses of the gravitational chern simons term we show how these two types of responses can be disentangled | [['topological', 'superconductors', 'are', 'characterized', 'by', 'topological', 'invariants', 'that', 'describe', 'the', 'number', 'and', 'nature', 'of', 'their', 'robust', 'boundary', 'modes', 'these', 'invariants', 'must', 'also', 'have', 'observable', 'consequences', 'in', 'the', 'bulk', 'of', 'the', 'system', 'akin', 'to', 'the', 'quantized', 'bulk', 'hall', 'conductivity', 'in', 'the', 'quantum', 'hall', 'effect', 'but', 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1,802.09422 | Spectral gaps for hyperbounded operators | We consider a positive and power-bounded linear operator $T$ on $L^p$ over a
finite measure space and prove that, if $TL^p \subseteq L^q$ for some $q > p$,
then the essential spectral radius of $T$ is strictly smaller than $1$. As a
special case, we obtain a recent result of Miclo who proved this assertion for
self-adjoint ergodic Markov operators in the case $p=2$ and thereby solved a
long-open problem of Simon and H{\o}egh-Krohn.
Our methods draw a connection between spectral theory and the geometry of
Banach spaces: they rely on a result going back to Groh that encodes spectral
gap properties via ultrapowers, and on the fact that an infinite dimensional
$L^p$-space cannot by isomorphic to an $L^q$-space for $q \not= p$.
We also prove a number of variations of our main result: (i) it follows from
theorems of Lotz and Mart\'{i}nez that the condition $TL^p \subseteq L^q$ can
be replaced with the weaker assumption that $T$ maps the positive part of the
$L^p$-unit ball into a uniformly $p$-integrable set; (ii) while it is known
that the positivity assumption on $T$ cannot in general be omitted, we show
that we can replace it with the assumption that $T$ is contractive both on
$L^p$ and on $L^q$; (iii) we prove a version of the theorem which allows us,
under appropriate circumstances, to also consider non-finite measures spaces;
(iv) our result also has a uniform version: there exists an upper bound $c \in
[0,1)$ for the essential spectral radius of $T$, where $c$ depends on certain
quantitative properties of $T$, $L^p$ and $L^q$.
| math.SP math.FA math.OA | we consider a positive and powerbounded linear operator t on lp over a finite measure space and prove that if tlp subseteq lq for some q p then the essential spectral radius of t is strictly smaller than 1 as a special case we obtain a recent result of miclo who proved this assertion for selfadjoint ergodic markov operators in the case p2 and thereby solved a longopen problem of simon and hoeghkrohn our methods draw a connection between spectral theory and the geometry of banach spaces they rely on a result going back to groh that encodes spectral gap properties via ultrapowers and on the fact that an infinite dimensional lpspace cannot by isomorphic to an lqspace for q not p we also prove a number of variations of our main result i it follows from theorems of lotz and martinez that the condition tlp subseteq lq can be replaced with the weaker assumption that t maps the positive part of the lpunit ball into a uniformly pintegrable set ii while it is known that the positivity assumption on t cannot in general be omitted we show that we can replace it with the assumption that t is contractive both on lp and on lq iii we prove a version of the theorem which allows us under appropriate circumstances to also consider nonfinite measures spaces iv our result also has a uniform version there exists an upper bound c in 01 for the essential spectral radius of t where c depends on certain quantitative properties of t lp and lq | [['we', 'consider', 'a', 'positive', 'and', 'powerbounded', 'linear', 'operator', 't', 'on', 'lp', 'over', 'a', 'finite', 'measure', 'space', 'and', 'prove', 'that', 'if', 'tlp', 'subseteq', 'lq', 'for', 'some', 'q', 'p', 'then', 'the', 'essential', 'spectral', 'radius', 'of', 't', 'is', 'strictly', 'smaller', 'than', '1', 'as', 'a', 'special', 'case', 'we', 'obtain', 'a', 'recent', 'result', 'of', 'miclo', 'who', 'proved', 'this', 'assertion', 'for', 'selfadjoint', 'ergodic', 'markov', 'operators', 'in', 'the', 'case', 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1,802.09423 | Projective Ponzano-Regge spin networks and their symmetries | We present a novel hierarchical construction of projective spin networks of
the Ponzano-Regge type from an assembling of five quadrangles up to the
combinatorial 4-simplex compatible with a geometrical realization in Euclidean
4-space. The key ingrendients are the projective Desargues configuration and
the incidence structure given by its space-dual, on the one hand, and the
Biedenharn--Elliott identity for the 6j symbol of SU(2), on the other. The
interplay between projective-combinatorial and algebraic features relies on the
recoupling theory of angular momenta, an approach to discrete quantum gravity
models carried out successfully over the last few decades. The role of Regge
symmetry --an intriguing discrete symmetry of the $6j$ which goes beyond the
standard tetrahedral symmetry of this symbol-- will be also discussed in brief
to highlight its role in providing a natural regularization of projective spin
networks that somehow mimics the standard regularization through a
q-deformation of SU(2).
| math-ph gr-qc math.MP quant-ph | we present a novel hierarchical construction of projective spin networks of the ponzanoregge type from an assembling of five quadrangles up to the combinatorial 4simplex compatible with a geometrical realization in euclidean 4space the key ingrendients are the projective desargues configuration and the incidence structure given by its spacedual on the one hand and the biedenharnelliott identity for the 6j symbol of su2 on the other the interplay between projectivecombinatorial and algebraic features relies on the recoupling theory of angular momenta an approach to discrete quantum gravity models carried out successfully over the last few decades the role of regge symmetry an intriguing discrete symmetry of the 6j which goes beyond the standard tetrahedral symmetry of this symbol will be also discussed in brief to highlight its role in providing a natural regularization of projective spin networks that somehow mimics the standard regularization through a qdeformation of su2 | [['we', 'present', 'a', 'novel', 'hierarchical', 'construction', 'of', 'projective', 'spin', 'networks', 'of', 'the', 'ponzanoregge', 'type', 'from', 'an', 'assembling', 'of', 'five', 'quadrangles', 'up', 'to', 'the', 'combinatorial', '4simplex', 'compatible', 'with', 'a', 'geometrical', 'realization', 'in', 'euclidean', '4space', 'the', 'key', 'ingrendients', 'are', 'the', 'projective', 'desargues', 'configuration', 'and', 'the', 'incidence', 'structure', 'given', 'by', 'its', 'spacedual', 'on', 'the', 'one', 'hand', 'and', 'the', 'biedenharnelliott', 'identity', 'for', 'the', '6j', 'symbol', 'of', 'su2', 'on', 'the', 'other', 'the', 'interplay', 'between', 'projectivecombinatorial', 'and', 'algebraic', 'features', 'relies', 'on', 'the', 'recoupling', 'theory', 'of', 'angular', 'momenta', 'an', 'approach', 'to', 'discrete', 'quantum', 'gravity', 'models', 'carried', 'out', 'successfully', 'over', 'the', 'last', 'few', 'decades', 'the', 'role', 'of', 'regge', 'symmetry', 'an', 'intriguing', 'discrete', 'symmetry', 'of', 'the', '6j', 'which', 'goes', 'beyond', 'the', 'standard', 'tetrahedral', 'symmetry', 'of', 'this', 'symbol', 'will', 'be', 'also', 'discussed', 'in', 'brief', 'to', 'highlight', 'its', 'role', 'in', 'providing', 'a', 'natural', 'regularization', 'of', 'projective', 'spin', 'networks', 'that', 'somehow', 'mimics', 'the', 'standard', 'regularization', 'through', 'a', 'qdeformation', 'of', 'su2']] | [-0.14293206046046367, 0.0896214042945789, -0.10103986157939351, 0.06606056996508791, -0.10811531977920696, -0.13494135210740155, 0.002835064465661758, 0.3279685303183465, -0.2940514095930447, -0.24110436248111314, 0.08580459679199928, -0.2386580973092852, -0.18140051607684843, 0.17007680883438422, -0.08111902906976898, 0.020903632769778628, -0.0063054366149650565, 0.0833304910792102, -0.14427989033961083, -0.24856981046995597, 0.3681891659049895, 0.05671345602624632, 0.25574795731889277, 0.0228688671783512, 0.1463476612778573, 0.05354295049569216, -0.018544007666762275, -0.06464542485131272, -0.1115803295829241, 0.14869807552193, 0.2122543070669304, 0.07030887889258307, 0.18306211374764297, -0.43426904573008934, -0.18708525577315194, 0.07223162168701147, 0.14674687349911908, 0.10588116187056335, -0.03185286583812458, -0.3004385332095212, 0.01719605928720457, -0.17265597298612884, -0.14288927753102676, -0.08103006652973849, -0.013177614406971582, -0.05029931550781275, -0.17977960478907837, 0.03689223579592714, 0.08135277804565327, 0.0951137855006703, -0.0042271246587664915, -0.1091196243322037, -0.04604805318381766, 0.10758228306497992, 0.04625985349070859, 0.032898032238128885, 0.07461043195076415, -0.11059019875166745, -0.17732026855429184, 0.39303597192569023, 0.001158889293156821, -0.2209273340565891, 0.13484253409912744, -0.12733566548097236, -0.1865365144314951, 0.09536691397942346, 0.1122732424209344, 0.11817092412825803, -0.09296290896840971, 0.13178980459884643, -0.06293666139245033, 0.1250303515923563, 0.07466311008701551, 0.0482674277194872, 0.2205728277756736, 0.15557072294940208, 0.036071601449030224, 0.13158005985937177, -0.06546382410772915, -0.16223641511952056, -0.3610702324626518, -0.164625725659325, -0.1664090097624937, 0.08911362618753879, -0.1517803872354401, -0.15126222440298517, 0.4285465008611309, 0.09926508528437337, 0.202865416502002, 0.0268124083594965, 0.24669997484005732, 0.05590255451228084, 0.10006994086092916, -0.008351540507684494, 0.21140393719462486, 0.19568952353317934, 0.05728760927289339, -0.22593736372855974, -0.020607513784238234, 0.13861945483287605] |
1,802.09424 | Classification of breast cancer histology images using transfer learning | Breast cancer is one of the leading causes of mortality in women. Early
detection and treatment are imperative for improving survival rates, which have
steadily increased in recent years as a result of more sophisticated
computer-aided-diagnosis (CAD) systems. A critical component of breast cancer
diagnosis relies on histopathology, a laborious and highly subjective process.
Consequently, CAD systems are essential to reduce inter-rater variability and
supplement the analyses conducted by specialists. In this paper, a
transfer-learning based approach is proposed, for the task of breast histology
image classification into four tissue sub-types, namely, normal, benign,
\textit{in situ} carcinoma and invasive carcinoma. The histology images,
provided as part of the BACH 2018 grand challenge, were first normalized to
correct for color variations resulting from inconsistencies during slide
preparation. Subsequently, image patches were extracted and used to fine-tune
Google`s Inception-V3 and ResNet50 convolutional neural networks (CNNs), both
pre-trained on the ImageNet database, enabling them to learn domain-specific
features, necessary to classify the histology images. The ResNet50 network
(based on residual learning) achieved a test classification accuracy of 97.50%
for four classes, outperforming the Inception-V3 network which achieved an
accuracy of 91.25%.
| cs.CV | breast cancer is one of the leading causes of mortality in women early detection and treatment are imperative for improving survival rates which have steadily increased in recent years as a result of more sophisticated computeraideddiagnosis cad systems a critical component of breast cancer diagnosis relies on histopathology a laborious and highly subjective process consequently cad systems are essential to reduce interrater variability and supplement the analyses conducted by specialists in this paper a transferlearning based approach is proposed for the task of breast histology image classification into four tissue subtypes namely normal benign textitin situ carcinoma and invasive carcinoma the histology images provided as part of the bach 2018 grand challenge were first normalized to correct for color variations resulting from inconsistencies during slide preparation subsequently image patches were extracted and used to finetune googles inceptionv3 and resnet50 convolutional neural networks cnns both pretrained on the imagenet database enabling them to learn domainspecific features necessary to classify the histology images the resnet50 network based on residual learning achieved a test classification accuracy of 9750 for four classes outperforming the inceptionv3 network which achieved an accuracy of 9125 | [['breast', 'cancer', 'is', 'one', 'of', 'the', 'leading', 'causes', 'of', 'mortality', 'in', 'women', 'early', 'detection', 'and', 'treatment', 'are', 'imperative', 'for', 'improving', 'survival', 'rates', 'which', 'have', 'steadily', 'increased', 'in', 'recent', 'years', 'as', 'a', 'result', 'of', 'more', 'sophisticated', 'computeraideddiagnosis', 'cad', 'systems', 'a', 'critical', 'component', 'of', 'breast', 'cancer', 'diagnosis', 'relies', 'on', 'histopathology', 'a', 'laborious', 'and', 'highly', 'subjective', 'process', 'consequently', 'cad', 'systems', 'are', 'essential', 'to', 'reduce', 'interrater', 'variability', 'and', 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1,802.09425 | Plant species accumulation curves are determined by evenness and spatial
aggregation in drylands worldwide | Species accumulation curves (SAC), i.e. the relationship between species
richness and the number of sampling units in a given community, can be used to
describe diversity patterns while accounting for the well-known
scale-dependence of species richness. Despite their value, the functional form
and the parameters of SAC, as well as their determinants, have barely been
investigated in plant communities, particularly in drylands. We characterized
the SAC of perennial plant communities from 233 dryland ecosystems from six
continents by comparing the fit of major functions (power-law, logarithmic and
Michaelis-Menten). We tested the theoretical prediction that the effects of
aridity and soil pH on SAC are mediated by vegetation attributes such as
evenness, cover, and spatial aggregation. We found that the logarithmic
relationship was the most common functional form, followed by Michaelis-Menten
and power-law. Functional form was mainly determined by evenness while the SAC
parameters (intercept and slope) were largely determined by spatial
aggregation. In addition, aridity decreased small scale richness (intercept of
SAC) but did not affect accumulation rate (slope of the SAC). Our results
highlight the role that attributes such as spatial aggregation and evenness
play as main mediators of the SAC of vegetation in drylands, the Earth's
largest biome.
| q-bio.PE | species accumulation curves sac ie the relationship between species richness and the number of sampling units in a given community can be used to describe diversity patterns while accounting for the wellknown scaledependence of species richness despite their value the functional form and the parameters of sac as well as their determinants have barely been investigated in plant communities particularly in drylands we characterized the sac of perennial plant communities from 233 dryland ecosystems from six continents by comparing the fit of major functions powerlaw logarithmic and michaelismenten we tested the theoretical prediction that the effects of aridity and soil ph on sac are mediated by vegetation attributes such as evenness cover and spatial aggregation we found that the logarithmic relationship was the most common functional form followed by michaelismenten and powerlaw functional form was mainly determined by evenness while the sac parameters intercept and slope were largely determined by spatial aggregation in addition aridity decreased small scale richness intercept of sac but did not affect accumulation rate slope of the sac our results highlight the role that attributes such as spatial aggregation and evenness play as main mediators of the sac of vegetation in drylands the earths largest biome | [['species', 'accumulation', 'curves', 'sac', 'ie', 'the', 'relationship', 'between', 'species', 'richness', 'and', 'the', 'number', 'of', 'sampling', 'units', 'in', 'a', 'given', 'community', 'can', 'be', 'used', 'to', 'describe', 'diversity', 'patterns', 'while', 'accounting', 'for', 'the', 'wellknown', 'scaledependence', 'of', 'species', 'richness', 'despite', 'their', 'value', 'the', 'functional', 'form', 'and', 'the', 'parameters', 'of', 'sac', 'as', 'well', 'as', 'their', 'determinants', 'have', 'barely', 'been', 'investigated', 'in', 'plant', 'communities', 'particularly', 'in', 'drylands', 'we', 'characterized', 'the', 'sac', 'of', 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1,802.09426 | Tone Biased MMR Text Summarization | Text summarization is an interesting area for researchers to develop new
techniques to provide human like summaries for vast amounts of information.
Summarization techniques tend to focus on providing accurate representation of
content, and often the tone of the content is ignored. Tone of the content sets
a baseline for how a reader perceives the content. As such being able to
generate summary with tone that is appropriate for the reader is important. In
our work we implement Maximal Marginal Relevance [MMR] based multi-document
text summarization and propose a naive model to change tone of the
summarization by setting a bias to specific set of words and restricting other
words in the summarization output. This bias towards a specified set of words
produces a summary whose tone is same as tone of specified words.
| cs.IR cs.CL | text summarization is an interesting area for researchers to develop new techniques to provide human like summaries for vast amounts of information summarization techniques tend to focus on providing accurate representation of content and often the tone of the content is ignored tone of the content sets a baseline for how a reader perceives the content as such being able to generate summary with tone that is appropriate for the reader is important in our work we implement maximal marginal relevance mmr based multidocument text summarization and propose a naive model to change tone of the summarization by setting a bias to specific set of words and restricting other words in the summarization output this bias towards a specified set of words produces a summary whose tone is same as tone of specified words | [['text', 'summarization', 'is', 'an', 'interesting', 'area', 'for', 'researchers', 'to', 'develop', 'new', 'techniques', 'to', 'provide', 'human', 'like', 'summaries', 'for', 'vast', 'amounts', 'of', 'information', 'summarization', 'techniques', 'tend', 'to', 'focus', 'on', 'providing', 'accurate', 'representation', 'of', 'content', 'and', 'often', 'the', 'tone', 'of', 'the', 'content', 'is', 'ignored', 'tone', 'of', 'the', 'content', 'sets', 'a', 'baseline', 'for', 'how', 'a', 'reader', 'perceives', 'the', 'content', 'as', 'such', 'being', 'able', 'to', 'generate', 'summary', 'with', 'tone', 'that', 'is', 'appropriate', 'for', 'the', 'reader', 'is', 'important', 'in', 'our', 'work', 'we', 'implement', 'maximal', 'marginal', 'relevance', 'mmr', 'based', 'multidocument', 'text', 'summarization', 'and', 'propose', 'a', 'naive', 'model', 'to', 'change', 'tone', 'of', 'the', 'summarization', 'by', 'setting', 'a', 'bias', 'to', 'specific', 'set', 'of', 'words', 'and', 'restricting', 'other', 'words', 'in', 'the', 'summarization', 'output', 'this', 'bias', 'towards', 'a', 'specified', 'set', 'of', 'words', 'produces', 'a', 'summary', 'whose', 'tone', 'is', 'same', 'as', 'tone', 'of', 'specified', 'words']] | [-0.03206780110659606, 0.04743240193088987, -0.056589350340637695, 0.10940208100824993, -0.19111583001022017, -0.13966352685090544, 0.0845265549011598, 0.4137814556867051, -0.23223896196403943, -0.29913764121705916, 0.08430052943416495, -0.33011054785908267, -0.12551054203493603, 0.19754680412918774, -0.16239091826888913, 0.02308537118977853, 0.06077262121791353, 0.14607394022937453, -0.014074611757298126, -0.2610765034020114, 0.33455477620791224, 0.05609134167655191, 0.3545124811301036, 0.01596857246650911, 0.1085065148437201, -0.01829333624927633, -0.08942572615125022, -0.005060273031495623, -0.086188356777657, 0.20464924511624805, 0.3609266705366213, 0.23179284522462804, 0.3291219850592037, -0.3439246717868234, -0.20716398089095506, 0.07359854739729259, 0.15257314236577488, 0.1498581310907907, -0.07460932020852064, -0.3002790103861089, 0.09815603798019018, -0.16853000667752394, 0.01892292958253355, -0.11423502760285985, 0.03347682476099303, 0.01202368898510085, -0.2976687922517755, 0.02134683320590698, 0.10575427614680644, 0.08831574628129601, 0.01882518527667914, -0.10068035164653365, 0.039159181248049124, 0.20869875952267825, 0.050412114532386414, 0.08899069749037805, 0.15413402148466834, -0.17456219442416357, -0.11034874281665283, 0.416377169427587, -0.06539751671657745, -0.2537959045157142, 0.14338463735453952, -0.03541419714161042, -0.1227575541341872, 0.05943483783022514, 0.19571835115385144, 0.0919628090923652, -0.17649140255525708, -0.025109496735185803, -0.03957782452231023, 0.26042115498671253, 0.0967300870002303, 0.02607491560655632, 0.25090337910258503, 0.21492022756876342, 0.050209369402684605, 0.15024389827027987, -0.030984976731801974, -0.01810271955189059, -0.24479322856875943, -0.10482381921643374, -0.14902725219796065, -0.008541950365222657, -0.04653220409981354, -0.20692439841579147, 0.4260963616977835, 0.24935721134805597, 0.21001475379774487, 0.052520834514176225, 0.3172108206564366, 0.04748988745550785, 0.06694348689530101, 0.005845168238825429, 0.09831602959163876, 0.0014787278669788988, 0.14670667480746868, -0.11909270041740375, 0.08869076848773759, 0.08214975087169328] |
1,802.09427 | Forecasting the impact of state pension reforms in post-Brexit England
and Wales using microsimulation and deep learning | We employ stochastic dynamic microsimulations to analyse and forecast the
pension cost dependency ratio for England and Wales from 1991 to 2061,
evaluating the impact of the ongoing state pension reforms and changes in
international migration patterns under different Brexit scenarios. To fully
account for the recently observed volatility in life expectancies, we propose
mortality rate model based on deep learning techniques, which discovers complex
patterns in data and extrapolated trends. Our results show that the recent
reforms can effectively stave off the "pension crisis" and bring back the
system on a sounder fiscal footing. At the same time, increasingly more workers
can expect to spend greater share of their lifespan in retirement, despite the
eligibility age rises. The population ageing due to the observed postponement
of death until senectitude often occurs with the compression of morbidity, and
thus will not, perforce, intrinsically strain healthcare costs. To a lesser
degree, the future pension cost dependency ratio will depend on the post-Brexit
relations between the UK and the EU, with "soft" alignment on the free movement
lowering the relative cost of the pension system compared to the "hard" one. In
the long term, however, the ratio has a rising tendency.
| econ.EM q-fin.GN | we employ stochastic dynamic microsimulations to analyse and forecast the pension cost dependency ratio for england and wales from 1991 to 2061 evaluating the impact of the ongoing state pension reforms and changes in international migration patterns under different brexit scenarios to fully account for the recently observed volatility in life expectancies we propose mortality rate model based on deep learning techniques which discovers complex patterns in data and extrapolated trends our results show that the recent reforms can effectively stave off the pension crisis and bring back the system on a sounder fiscal footing at the same time increasingly more workers can expect to spend greater share of their lifespan in retirement despite the eligibility age rises the population ageing due to the observed postponement of death until senectitude often occurs with the compression of morbidity and thus will not perforce intrinsically strain healthcare costs to a lesser degree the future pension cost dependency ratio will depend on the postbrexit relations between the uk and the eu with soft alignment on the free movement lowering the relative cost of the pension system compared to the hard one in the long term however the ratio has a rising tendency | [['we', 'employ', 'stochastic', 'dynamic', 'microsimulations', 'to', 'analyse', 'and', 'forecast', 'the', 'pension', 'cost', 'dependency', 'ratio', 'for', 'england', 'and', 'wales', 'from', '1991', 'to', '2061', 'evaluating', 'the', 'impact', 'of', 'the', 'ongoing', 'state', 'pension', 'reforms', 'and', 'changes', 'in', 'international', 'migration', 'patterns', 'under', 'different', 'brexit', 'scenarios', 'to', 'fully', 'account', 'for', 'the', 'recently', 'observed', 'volatility', 'in', 'life', 'expectancies', 'we', 'propose', 'mortality', 'rate', 'model', 'based', 'on', 'deep', 'learning', 'techniques', 'which', 'discovers', 'complex', 'patterns', 'in', 'data', 'and', 'extrapolated', 'trends', 'our', 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1,802.09428 | Dynamics and Instabilities of the Shastry-Sutherland Model | We study the excitation spectrum in the dimer phase of the Shastry-Sutherland
model by using an unbiased variational method that works in the thermodynamic
limit. The method outputs dynamical correlation functions in all possible
channels. This output is exploited to identify the order parameters with the
highest susceptibility (single or multitriplon condensation in a specific
channel) upon approaching a quantum phase transition in the magnetic field
versus the $J'/J$ phase diagram. We find four different instabilities:
antiferro spin nematic, plaquette spin nematic, stripe magnetic order, and
plaquette order, two of which have been reported in previous studies.
| cond-mat.str-el | we study the excitation spectrum in the dimer phase of the shastrysutherland model by using an unbiased variational method that works in the thermodynamic limit the method outputs dynamical correlation functions in all possible channels this output is exploited to identify the order parameters with the highest susceptibility single or multitriplon condensation in a specific channel upon approaching a quantum phase transition in the magnetic field versus the jj phase diagram we find four different instabilities antiferro spin nematic plaquette spin nematic stripe magnetic order and plaquette order two of which have been reported in previous studies | [['we', 'study', 'the', 'excitation', 'spectrum', 'in', 'the', 'dimer', 'phase', 'of', 'the', 'shastrysutherland', 'model', 'by', 'using', 'an', 'unbiased', 'variational', 'method', 'that', 'works', 'in', 'the', 'thermodynamic', 'limit', 'the', 'method', 'outputs', 'dynamical', 'correlation', 'functions', 'in', 'all', 'possible', 'channels', 'this', 'output', 'is', 'exploited', 'to', 'identify', 'the', 'order', 'parameters', 'with', 'the', 'highest', 'susceptibility', 'single', 'or', 'multitriplon', 'condensation', 'in', 'a', 'specific', 'channel', 'upon', 'approaching', 'a', 'quantum', 'phase', 'transition', 'in', 'the', 'magnetic', 'field', 'versus', 'the', 'jj', 'phase', 'diagram', 'we', 'find', 'four', 'different', 'instabilities', 'antiferro', 'spin', 'nematic', 'plaquette', 'spin', 'nematic', 'stripe', 'magnetic', 'order', 'and', 'plaquette', 'order', 'two', 'of', 'which', 'have', 'been', 'reported', 'in', 'previous', 'studies']] | [-0.1939617613388691, 0.20600412030413887, -0.0369644799696592, 0.020044549833983183, -0.013944205013103783, -0.10351754350631381, 0.06641723981738323, 0.398349986372826, -0.20701924241924038, -0.2950173264058928, 0.04202392714068992, -0.2892645412357524, -0.13208570814701184, 0.10129160076515593, 0.08908376362038932, 0.06662433095213298, -0.061733465881843586, 0.0397056380364423, -0.13575823358830044, -0.2206910800790259, 0.2901375918008853, -0.01178973754698139, 0.3273558850341942, 0.00901386540135718, 0.03798852777981665, 0.0025771297077881172, 0.0915126296604285, 0.005222484753176104, -0.20500743530563645, -0.0015336472085133817, 0.22588268281833734, -0.0444044377921576, 0.16630000319370689, -0.39863636886002496, -0.23378448840230703, 0.08838351392720749, 0.16618787572951987, 0.16273578330947203, -0.01365097361364557, -0.25844935501906247, -0.003785499905158455, -0.21846746283457227, -0.10014315005294823, -0.11980218015620873, -0.069099097695774, 0.002659815118628709, -0.27990572345637094, 0.11846826502975698, 0.07165704260448062, 0.0892276984717076, -0.07577980861484927, -0.12424686507923373, -0.05660155739678885, 0.11381387707903438, 0.0351670539372814, 0.1119198497593364, 0.10068974170038321, -0.1559014593876782, -0.18352553661134152, 0.31101516863175976, -0.058320333093433874, -0.14691640655898178, 0.14038100965323488, -0.20663892314284263, -0.13898648666145164, 0.1870273016684223, 0.1036806861269118, 0.09887395552747573, -0.14705539234758666, 0.02058216075662737, 0.0010641116338471572, 0.2066069144445161, -0.010420157477104416, 0.045774848064562924, 0.2432667349348776, 0.16969580379857993, 0.024105669622561738, 0.20827545581657128, -0.13895367222933905, -0.1579085615733978, -0.24006054567871615, -0.12878050404106034, -0.20862317362843896, -0.014431606758686636, -0.09861215169545783, -0.17218240398021104, 0.4141162809294959, 0.19502324623817913, 0.1676658054445094, -0.05976899073842409, 0.2578095513599692, 0.1081215063847291, 0.056500372709706426, 0.023075648336089216, 0.27842317170385894, 0.177193486134153, 0.10394669059314765, -0.2899185106580262, 0.03655333206309782, 0.06943269392165045] |
1,802.09429 | Coherent actions by homeomorphisms on the real line or an interval | We study actions of groups by homeomorphisms on $\mathbf{R}$ (or an interval)
that are minimal, have solvable germs at $\pm \infty$ and contain a pair of
elements of a certain type. We call such actions coherent. We establish that
such an action is rigid, i.e. any two such actions of the same group are
topologically conjugate. We also establish that the underlying group is always
non elementary amenable, but satisfies that every proper quotient is solvable.
As a first application, we demonstrate that any coherent group action
$G<Homeo^+(\mathbf{R})$ that produces a nonamenable equivalence relation with
respect to the Lebesgue measure satisfies that the underlying group does not
embed into Thompson's group $F$. This includes all known examples of
nonamenable groups that do not contain non abelian free subgroups and act
faithfully on the real line by homeomorphisms. As a second application, we
establish that the Brown-Stein-Thompson groups $F(2,p_1,...,p_n)$ for $n\geq 1$
and $p_1,...,p_n$ distinct odd primes, do not embed into Thompson's group $F$.
This answers a question recently raised by C. Bleak, M. Brin, and J. Moore. Our
tools also allow us to prove additional non embeddability results for
Brown-Stein-Thompson and Bieri-Strebel groups.
| math.GR | we study actions of groups by homeomorphisms on mathbfr or an interval that are minimal have solvable germs at pm infty and contain a pair of elements of a certain type we call such actions coherent we establish that such an action is rigid ie any two such actions of the same group are topologically conjugate we also establish that the underlying group is always non elementary amenable but satisfies that every proper quotient is solvable as a first application we demonstrate that any coherent group action ghomeomathbfr that produces a nonamenable equivalence relation with respect to the lebesgue measure satisfies that the underlying group does not embed into thompsons group f this includes all known examples of nonamenable groups that do not contain non abelian free subgroups and act faithfully on the real line by homeomorphisms as a second application we establish that the brownsteinthompson groups f2p_1p_n for ngeq 1 and p_1p_n distinct odd primes do not embed into thompsons group f this answers a question recently raised by c bleak m brin and j moore our tools also allow us to prove additional non embeddability results for brownsteinthompson and bieristrebel groups | [['we', 'study', 'actions', 'of', 'groups', 'by', 'homeomorphisms', 'on', 'mathbfr', 'or', 'an', 'interval', 'that', 'are', 'minimal', 'have', 'solvable', 'germs', 'at', 'pm', 'infty', 'and', 'contain', 'a', 'pair', 'of', 'elements', 'of', 'a', 'certain', 'type', 'we', 'call', 'such', 'actions', 'coherent', 'we', 'establish', 'that', 'such', 'an', 'action', 'is', 'rigid', 'ie', 'any', 'two', 'such', 'actions', 'of', 'the', 'same', 'group', 'are', 'topologically', 'conjugate', 'we', 'also', 'establish', 'that', 'the', 'underlying', 'group', 'is', 'always', 'non', 'elementary', 'amenable', 'but', 'satisfies', 'that', 'every', 'proper', 'quotient', 'is', 'solvable', 'as', 'a', 'first', 'application', 'we', 'demonstrate', 'that', 'any', 'coherent', 'group', 'action', 'ghomeomathbfr', 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1,802.0943 | Banach-Lie groupoids and generalized inversion | We study a few basic properties of Banach-Lie groupoids and algebroids,
adapting some classical results on finite dimensional Lie groupoids. As an
illustration of the general theory, we show that the notion of locally
transitive Banach-Lie groupoid sheds fresh light on earlier research on some
infinite-dimensional manifolds associated with Banach algebras.
| math.FA math.DG | we study a few basic properties of banachlie groupoids and algebroids adapting some classical results on finite dimensional lie groupoids as an illustration of the general theory we show that the notion of locally transitive banachlie groupoid sheds fresh light on earlier research on some infinitedimensional manifolds associated with banach algebras | [['we', 'study', 'a', 'few', 'basic', 'properties', 'of', 'banachlie', 'groupoids', 'and', 'algebroids', 'adapting', 'some', 'classical', 'results', 'on', 'finite', 'dimensional', 'lie', 'groupoids', 'as', 'an', 'illustration', 'of', 'the', 'general', 'theory', 'we', 'show', 'that', 'the', 'notion', 'of', 'locally', 'transitive', 'banachlie', 'groupoid', 'sheds', 'fresh', 'light', 'on', 'earlier', 'research', 'on', 'some', 'infinitedimensional', 'manifolds', 'associated', 'with', 'banach', 'algebras']] | [-0.1453076108157927, 0.11270536110061906, -0.0781546867333864, 0.13877439796559365, -0.21576853717366853, -0.11715193732879033, 0.006724001919649833, 0.4440100302225819, -0.3573388144483461, -0.154677224728991, 0.12494523638138073, -0.24987541449566683, -0.21341419300320102, 0.2696704094060788, -0.255359958948604, -0.04190960802210897, 0.08992972778265967, 0.14516440391832708, -0.17589739547111094, -0.27817632272547366, 0.48488106668981557, 0.01807730302999855, 0.22599317014956957, 0.03555191163996271, 0.12324599749591275, 0.029946467380368096, -0.04562849665571954, 0.014776931692133932, -0.19005408859883055, 0.10540860493247416, 0.3084464021684492, 0.026150725507999167, 0.28157952308253037, -0.3977288310872574, -0.18377935106628665, 0.09968417804396036, 0.06949492708286818, 0.005677144263994277, -0.09119771950302974, -0.3947945739160858, 0.015735068468048292, -0.1765249079988137, -0.15057628243869425, -0.11891918371924583, 0.018709279651589254, -0.0027139656766153432, -0.08789835145295251, -0.03466364902024176, 0.17870762955178232, 0.1623295327538953, -0.1357580742743962, -0.09994019283776116, -0.07428271278245922, 0.029364390673079326, -0.0476481941357134, -0.0071657855364987075, 0.17115094978362322, 0.02978257763507096, -0.20163751462949256, 0.36754727829247713, -0.022039948688710436, -0.2258900102848808, 0.1908630813590671, -0.1412655438077362, -0.27067413210284474, 0.027582337856110112, 0.13215744194081602, 0.17554721513799593, -0.05399216349948855, 0.19817816210321754, -0.1862670604650881, -0.004412433534276252, 0.036281242692733515, 0.07514362949444273, 0.10305309989580921, 0.19041572213538138, 0.08372322704606489, 0.08814803819975578, 0.12469468232330994, -0.09909103310429583, -0.39062710223244684, -0.15589278292677858, -0.01138207804429911, 0.20037871212059377, -0.1243838727124396, -0.17154857147411973, 0.38958987882178203, 0.13910170120196233, 0.16362559673029417, 0.16369082429902812, 0.19239163566745965, 0.04000754486175948, 0.04051972823400123, 0.04103652072851272, 0.11009274695785351, 0.3405478043737365, -0.05522038783038072, -0.08779015216757269, -0.12009996950955075, 0.2495255359978068] |
1,802.09431 | Self Super-Resolution for Magnetic Resonance Images using Deep Networks | High resolution magnetic resonance~(MR) imaging~(MRI) is desirable in many
clinical applications, however, there is a trade-off between resolution, speed
of acquisition, and noise. It is common for MR images to have worse
through-plane resolution~(slice thickness) than in-plane resolution. In these
MRI images, high frequency information in the through-plane direction is not
acquired, and cannot be resolved through interpolation. To address this issue,
super-resolution methods have been developed to enhance spatial resolution. As
an ill-posed problem, state-of-the-art super-resolution methods rely on the
presence of external/training atlases to learn the transform from low
resolution~(LR) images to high resolution~(HR) images. For several reasons,
such HR atlas images are often not available for MRI sequences. This paper
presents a self super-resolution~(SSR) algorithm, which does not use any
external atlas images, yet can still resolve HR images only reliant on the
acquired LR image. We use a blurred version of the input image to create
training data for a state-of-the-art super-resolution deep network. The trained
network is applied to the original input image to estimate the HR image. Our
SSR result shows a significant improvement on through-plane resolution compared
to competing SSR methods.
| eess.IV cs.CV | high resolution magnetic resonancemr imagingmri is desirable in many clinical applications however there is a tradeoff between resolution speed of acquisition and noise it is common for mr images to have worse throughplane resolutionslice thickness than inplane resolution in these mri images high frequency information in the throughplane direction is not acquired and cannot be resolved through interpolation to address this issue superresolution methods have been developed to enhance spatial resolution as an illposed problem stateoftheart superresolution methods rely on the presence of externaltraining atlases to learn the transform from low resolutionlr images to high resolutionhr images for several reasons such hr atlas images are often not available for mri sequences this paper presents a self superresolutionssr algorithm which does not use any external atlas images yet can still resolve hr images only reliant on the acquired lr image we use a blurred version of the input image to create training data for a stateoftheart superresolution deep network the trained network is applied to the original input image to estimate the hr image our ssr result shows a significant improvement on throughplane resolution compared to competing ssr methods | [['high', 'resolution', 'magnetic', 'resonancemr', 'imagingmri', 'is', 'desirable', 'in', 'many', 'clinical', 'applications', 'however', 'there', 'is', 'a', 'tradeoff', 'between', 'resolution', 'speed', 'of', 'acquisition', 'and', 'noise', 'it', 'is', 'common', 'for', 'mr', 'images', 'to', 'have', 'worse', 'throughplane', 'resolutionslice', 'thickness', 'than', 'inplane', 'resolution', 'in', 'these', 'mri', 'images', 'high', 'frequency', 'information', 'in', 'the', 'throughplane', 'direction', 'is', 'not', 'acquired', 'and', 'can', 'not', 'be', 'resolved', 'through', 'interpolation', 'to', 'address', 'this', 'issue', 'superresolution', 'methods', 'have', 'been', 'developed', 'to', 'enhance', 'spatial', 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1,802.09432 | A distinguished example of filiform deformation | We exhibit an example of a filiform (complex) Lie algebra of dimension 13
with all its ideals of codimension 1 being characteristically nilpotent, and we
construct a non trivial filiform deformation of it.
| math.RA | we exhibit an example of a filiform complex lie algebra of dimension 13 with all its ideals of codimension 1 being characteristically nilpotent and we construct a non trivial filiform deformation of it | [['we', 'exhibit', 'an', 'example', 'of', 'a', 'filiform', 'complex', 'lie', 'algebra', 'of', 'dimension', '13', 'with', 'all', 'its', 'ideals', 'of', 'codimension', '1', 'being', 'characteristically', 'nilpotent', 'and', 'we', 'construct', 'a', 'non', 'trivial', 'filiform', 'deformation', 'of', 'it']] | [-0.21166099551500697, 0.08681740883824232, -0.044294392238512184, 0.015051686543632637, -0.1271676949761582, -0.21983172201241055, -0.124380810158045, 0.3808033062201558, -0.30683500240698003, -0.1664496874154517, 0.15876025892794132, -0.2619875743985176, -0.1535920568487861, 0.17377529087278878, -0.12423929899479404, -0.1186026786894989, 0.0052881043855891085, 0.17714861357076603, -0.09174009849966476, -0.3017553391894608, 0.438165304561456, -0.0524806689919029, 0.13892605193100419, -0.05146377772149263, 0.18297977869709334, -0.06661700819985884, 0.058149067344581425, 0.005741673676917951, -0.16413504579527813, 0.11690132974675208, 0.32292022409312654, 0.015276881082999435, 0.1665649629677787, -0.3107385197372148, -0.060291232908088147, 0.25327920845963736, 0.15776826379199824, 0.0415740017638062, -0.018060154450887985, -0.2069039895820121, 0.1105734408397852, -0.3025417998433113, -0.24776026169120363, -0.09503683780856205, 0.10306515358388424, -0.11588560993021185, -0.19692353736327, 0.0402884908923597, 0.182389650832523, 0.22064445839461053, -0.09367796451657671, -0.08893119389143646, -0.14024275573760722, 0.027071894566302723, -0.08350386706209093, -0.06404355236075142, 0.13458348198257614, -0.06572052820896108, -0.2171917064679843, 0.3942616038786417, 0.056467930885088266, -0.2178512962436247, 0.21741187899853243, -0.23054621346069104, -0.18155981896614487, 0.1657917509702119, 0.02600157901531819, 0.166626979286472, -0.009850866556393377, 0.214731508765412, -0.09274543697635333, 0.019863545404267356, 0.05774534253798651, -0.016038988829787933, 0.10432116153903982, 0.19313618591563267, 0.0628164280488184, 0.10357996841158831, 0.038985709927863245, 0.0542479042161369, -0.3799537977937496, -0.19202935850868622, -0.0808742336653681, 0.23095403442328627, -0.16250750342001222, -0.2312540759078481, 0.45025855483430804, 0.06592073446760575, 0.25580037331603694, 0.1148068553866875, 0.16704646904360165, 0.0594929304030357, 0.13088878937009157, 0.12130655009638179, 0.1256764978170395, 0.2356267487630248, -0.073858103531441, -0.06585370816967705, -0.1451533863208059, 0.13337668720068355] |
1,802.09433 | The time-dependent $CP$ asymmetry in $B^0 \to K_{\rm res} \gamma \to
\pi^+ \pi^- K^0_{\scriptscriptstyle S} \gamma$ decays | The time-dependent $CP$ asymmetry in $B^0 \to K_{\rm res} \gamma \to \pi^+
\pi^- K^0_{\scriptscriptstyle S} \gamma$ is sensitive to the photon
polarisation in the quark level process $b \to s \gamma$. While this
polarisation is predominantly left-handed in the standard model, it could be
modified by the existence of new physics contributions that may possess
different $CP$ properties. In this paper, we derive the $CP$ violation formulae
for $B^0 \to K_{\rm res} \gamma \to \pi^+ \pi^- K^0_{\scriptscriptstyle S}
\gamma$ including the most dominant intermediate states. We propose a new
observable that could be measured in a time-dependent amplitude analysis of
$B^0 \to \pi^+ \pi^- K^0_{\scriptscriptstyle S} \gamma$ decays, providing a
stringent contraint on the photon polarisation. We discuss the future prospects
for obtaining such constraints from measurements at Belle II and LHCb.
| hep-ph hep-ex | the timedependent cp asymmetry in b0 to k_rm res gamma to pi pi k0_scriptscriptstyle s gamma is sensitive to the photon polarisation in the quark level process b to s gamma while this polarisation is predominantly lefthanded in the standard model it could be modified by the existence of new physics contributions that may possess different cp properties in this paper we derive the cp violation formulae for b0 to k_rm res gamma to pi pi k0_scriptscriptstyle s gamma including the most dominant intermediate states we propose a new observable that could be measured in a timedependent amplitude analysis of b0 to pi pi k0_scriptscriptstyle s gamma decays providing a stringent contraint on the photon polarisation we discuss the future prospects for obtaining such constraints from measurements at belle ii and lhcb | [['the', 'timedependent', 'cp', 'asymmetry', 'in', 'b0', 'to', 'k_rm', 'res', 'gamma', 'to', 'pi', 'pi', 'k0_scriptscriptstyle', 's', 'gamma', 'is', 'sensitive', 'to', 'the', 'photon', 'polarisation', 'in', 'the', 'quark', 'level', 'process', 'b', 'to', 's', 'gamma', 'while', 'this', 'polarisation', 'is', 'predominantly', 'lefthanded', 'in', 'the', 'standard', 'model', 'it', 'could', 'be', 'modified', 'by', 'the', 'existence', 'of', 'new', 'physics', 'contributions', 'that', 'may', 'possess', 'different', 'cp', 'properties', 'in', 'this', 'paper', 'we', 'derive', 'the', 'cp', 'violation', 'formulae', 'for', 'b0', 'to', 'k_rm', 'res', 'gamma', 'to', 'pi', 'pi', 'k0_scriptscriptstyle', 's', 'gamma', 'including', 'the', 'most', 'dominant', 'intermediate', 'states', 'we', 'propose', 'a', 'new', 'observable', 'that', 'could', 'be', 'measured', 'in', 'a', 'timedependent', 'amplitude', 'analysis', 'of', 'b0', 'to', 'pi', 'pi', 'k0_scriptscriptstyle', 's', 'gamma', 'decays', 'providing', 'a', 'stringent', 'contraint', 'on', 'the', 'photon', 'polarisation', 'we', 'discuss', 'the', 'future', 'prospects', 'for', 'obtaining', 'such', 'constraints', 'from', 'measurements', 'at', 'belle', 'ii', 'and', 'lhcb']] | [-0.13238897081817302, 0.23215988515921432, -0.09391566288876206, 0.08035965897652479, -0.10965139881326733, -0.18467991174353907, 0.127148869918363, 0.27262953174949595, -0.27749168600756535, -0.25159573118611606, -0.014374673843673063, -0.33817604346779373, -0.001282643484459682, 0.17423470453782516, 0.06550729164331587, 0.06716690673651597, 0.03711053076602349, -0.028100580686110665, -0.06295879177085942, -0.09010979970017532, 0.1925496127329428, 0.008570497208204346, 0.1974278337879558, 0.061890990755548984, -0.05515955333513292, -0.009806157342003038, -0.07641058824039205, -0.0677759704324699, -0.1632071084833032, 0.03995309192131655, 0.23961812968032478, 0.11434547654988075, 0.09398088886077996, -0.3289991345496453, -0.08361713471469667, 0.1975637336198071, 0.12418139777075725, 0.033434273765041406, 0.005507077198920094, -0.3539976442204506, 0.14471474730993522, -0.12253771285582898, -0.10532514133250737, -0.07828824548403535, 0.12296587536746467, -0.0965044469943898, -0.35734432660551235, 0.09667915752806673, -0.04468360071945371, -0.0009417015191336924, 0.048849905613513496, -0.22739352224479345, -0.002729561178112459, -0.006913078289168577, 0.08384965521448369, 0.11498188015861105, 0.1254446605382713, -0.11161594477016479, -0.13527965655719693, 0.3855946470531776, -0.09148903550918806, -0.18758574887319948, 0.12302036729471927, -0.22982778051642305, -0.18917185384921278, 0.1662285254128757, 0.19776382791160635, 0.0572596887890761, -0.17470686030256646, 0.15056448125687893, -0.0075445363693165055, 0.13636593353426593, 0.06695972457810333, 0.05890809254946582, 0.1770679229679941, 0.13020381262211947, 0.011890792044472288, 0.05932021076582852, -0.1498162978589817, 0.02904978637216669, -0.43299882200715895, -0.15723917875650592, -0.06613418772449774, 0.1316482037452233, -0.022532813607209722, -0.050927723179373774, 0.38248179209150485, 0.05250955722912102, 0.22720200019521694, -0.02910070166796107, 0.2813689549326558, 0.1445382670208346, 0.007400518666448382, 0.0764548420327518, 0.2879774867959151, 0.1605087102225022, 0.1254277510005605, -0.29721049090783874, 0.059182546489561595, -0.02762197444187195] |
1,802.09434 | Scale-invariant scalar field dark matter through the Higgs portal | We discuss the dynamics and phenomenology of an oscillating scalar field
coupled to the Higgs boson that accounts for the dark matter in the Universe.
The model assumes an underlying scale invariance such that the scalar field
only acquires mass after the electroweak phase transition, behaving as dark
radiation before the latter takes place. While for a positive coupling to the
Higgs field the dark scalar is stable, for a negative coupling it acquires a
vacuum expectation value after the electroweak phase transition and may decay
into photon pairs, albeit with a mean lifetime much larger than the age of the
Universe. We explore possible astrophysical and laboratory signatures of such a
dark matter candidate in both cases, including annihilation and decay into
photons, Higgs decay, photon-dark scalar oscillations and induced oscillations
of fundamental constants. We find that dark matter within this scenario will be
generically difficult to detect in the near future, except for the promising
case of a 7 keV dark scalar decaying into photons, which naturally explains the
observed galactic and extra-galactic 3.5 keV X-ray line.
| hep-ph astro-ph.CO gr-qc hep-th | we discuss the dynamics and phenomenology of an oscillating scalar field coupled to the higgs boson that accounts for the dark matter in the universe the model assumes an underlying scale invariance such that the scalar field only acquires mass after the electroweak phase transition behaving as dark radiation before the latter takes place while for a positive coupling to the higgs field the dark scalar is stable for a negative coupling it acquires a vacuum expectation value after the electroweak phase transition and may decay into photon pairs albeit with a mean lifetime much larger than the age of the universe we explore possible astrophysical and laboratory signatures of such a dark matter candidate in both cases including annihilation and decay into photons higgs decay photondark scalar oscillations and induced oscillations of fundamental constants we find that dark matter within this scenario will be generically difficult to detect in the near future except for the promising case of a 7 kev dark scalar decaying into photons which naturally explains the observed galactic and extragalactic 35 kev xray line | [['we', 'discuss', 'the', 'dynamics', 'and', 'phenomenology', 'of', 'an', 'oscillating', 'scalar', 'field', 'coupled', 'to', 'the', 'higgs', 'boson', 'that', 'accounts', 'for', 'the', 'dark', 'matter', 'in', 'the', 'universe', 'the', 'model', 'assumes', 'an', 'underlying', 'scale', 'invariance', 'such', 'that', 'the', 'scalar', 'field', 'only', 'acquires', 'mass', 'after', 'the', 'electroweak', 'phase', 'transition', 'behaving', 'as', 'dark', 'radiation', 'before', 'the', 'latter', 'takes', 'place', 'while', 'for', 'a', 'positive', 'coupling', 'to', 'the', 'higgs', 'field', 'the', 'dark', 'scalar', 'is', 'stable', 'for', 'a', 'negative', 'coupling', 'it', 'acquires', 'a', 'vacuum', 'expectation', 'value', 'after', 'the', 'electroweak', 'phase', 'transition', 'and', 'may', 'decay', 'into', 'photon', 'pairs', 'albeit', 'with', 'a', 'mean', 'lifetime', 'much', 'larger', 'than', 'the', 'age', 'of', 'the', 'universe', 'we', 'explore', 'possible', 'astrophysical', 'and', 'laboratory', 'signatures', 'of', 'such', 'a', 'dark', 'matter', 'candidate', 'in', 'both', 'cases', 'including', 'annihilation', 'and', 'decay', 'into', 'photons', 'higgs', 'decay', 'photondark', 'scalar', 'oscillations', 'and', 'induced', 'oscillations', 'of', 'fundamental', 'constants', 'we', 'find', 'that', 'dark', 'matter', 'within', 'this', 'scenario', 'will', 'be', 'generically', 'difficult', 'to', 'detect', 'in', 'the', 'near', 'future', 'except', 'for', 'the', 'promising', 'case', 'of', 'a', '7', 'kev', 'dark', 'scalar', 'decaying', 'into', 'photons', 'which', 'naturally', 'explains', 'the', 'observed', 'galactic', 'and', 'extragalactic', '35', 'kev', 'xray', 'line']] | [-0.12277333236019147, 0.262203455154879, -0.08440090218746213, 0.16966054432566263, -0.10210838748464704, -0.16012341452778092, -0.009061397433114451, 0.3168781403225831, -0.2090180028839994, -0.3300126712566356, 0.00439055606803477, -0.26966996465461046, -0.017985200554954523, 0.16032589212262888, 0.09309346770331804, -0.005835193854512116, -0.00391334252608888, 0.06408692097197698, -0.016086049990887186, -0.21737221376671242, 0.305771492344884, 0.05177401380571823, 0.19394632668478945, 0.05619995170285894, 0.10012840733970073, -0.018972742410283017, 0.011831617484899373, -0.06052617291332648, -0.12413412244357501, 0.008211762150073184, 0.15962832960477047, 0.08224747482590981, 0.19317226652992503, -0.3756305791500061, -0.21636298052217373, 0.21001112883307, 0.1940343911530627, 0.11459919941603784, -0.11070448531659954, -0.33730364941169805, 0.045153371610239086, -0.1530527575032567, -0.11665677918412583, -0.03143217858946856, 0.0019958473256835975, -0.10636004461164134, -0.284492426467331, 0.1254976074050009, -0.03304659739115884, -0.05595322507407579, -0.08906097811589528, -0.09080773681485453, -0.0320568034092391, 0.007118614458130392, 0.1492091222912042, 0.01329519648225874, 0.2087154674588302, -0.2270691895964113, -0.07411621551370175, 0.42664111782302405, -0.1608624208876089, -0.06935953912741437, 0.1293076828704866, -0.1685101303763625, -0.12130694261975794, 0.17662683039820393, 0.14948476630382698, 0.06782633943389581, -0.09808558190772154, 0.12366659499837512, 0.007703802150325569, 0.19950212628773137, 0.050245567876585455, 0.07669687100267297, 0.35604420872977494, 0.1617329783234277, 0.03348261293858893, 0.07969310204953725, -0.09712203361052374, -0.11502309942223891, -0.3896614742288418, -0.17113029347669578, -0.08511456945786179, 0.07778394578171728, -0.07702870360935268, -0.14331696216828663, 0.40164235651404623, 0.1015538909458217, 0.22498461201412384, -0.00022542033105172924, 0.306683919017916, 0.09340959170790306, 0.07188619622263495, 0.051272037295968007, 0.3657689452556342, 0.15121000493205458, 0.13374613964924975, -0.22418116553109035, -0.01806008061342066, -0.016147415973467222] |
1,802.09435 | Data-driven Super-resolution on a Tactile Dome | While tactile sensor technology has made great strides over the past decades,
applications in robotic manipulation are limited by aspects such as blind
spots, difficult integration into hands, and low spatial resolution. We present
a method for localizing contact with high accuracy over curved, three
dimensional surfaces, with a low wire count and reduced integration complexity.
To achieve this, we build a volume of soft material embedded with individual
off-the-shelf pressure sensors. Using data driven techniques, we map the raw
signals from these pressure sensors to known surface locations and indentation
depths. Additionally, we show that a finite element model can be used to
improve the placement of the pressure sensors inside the volume and to explore
the design space in simulation. We validate our approach on physically
implemented tactile domes which achieve high contact localization accuracy
($1.1mm$ in the best case) over a large, curved sensing area ($1,300mm^2$
hemisphere). We believe this approach can be used to deploy tactile sensing
capabilities over three dimensional surfaces such as a robotic finger or palm.
| cs.RO | while tactile sensor technology has made great strides over the past decades applications in robotic manipulation are limited by aspects such as blind spots difficult integration into hands and low spatial resolution we present a method for localizing contact with high accuracy over curved three dimensional surfaces with a low wire count and reduced integration complexity to achieve this we build a volume of soft material embedded with individual offtheshelf pressure sensors using data driven techniques we map the raw signals from these pressure sensors to known surface locations and indentation depths additionally we show that a finite element model can be used to improve the placement of the pressure sensors inside the volume and to explore the design space in simulation we validate our approach on physically implemented tactile domes which achieve high contact localization accuracy 11mm in the best case over a large curved sensing area 1300mm2 hemisphere we believe this approach can be used to deploy tactile sensing capabilities over three dimensional surfaces such as a robotic finger or palm | [['while', 'tactile', 'sensor', 'technology', 'has', 'made', 'great', 'strides', 'over', 'the', 'past', 'decades', 'applications', 'in', 'robotic', 'manipulation', 'are', 'limited', 'by', 'aspects', 'such', 'as', 'blind', 'spots', 'difficult', 'integration', 'into', 'hands', 'and', 'low', 'spatial', 'resolution', 'we', 'present', 'a', 'method', 'for', 'localizing', 'contact', 'with', 'high', 'accuracy', 'over', 'curved', 'three', 'dimensional', 'surfaces', 'with', 'a', 'low', 'wire', 'count', 'and', 'reduced', 'integration', 'complexity', 'to', 'achieve', 'this', 'we', 'build', 'a', 'volume', 'of', 'soft', 'material', 'embedded', 'with', 'individual', 'offtheshelf', 'pressure', 'sensors', 'using', 'data', 'driven', 'techniques', 'we', 'map', 'the', 'raw', 'signals', 'from', 'these', 'pressure', 'sensors', 'to', 'known', 'surface', 'locations', 'and', 'indentation', 'depths', 'additionally', 'we', 'show', 'that', 'a', 'finite', 'element', 'model', 'can', 'be', 'used', 'to', 'improve', 'the', 'placement', 'of', 'the', 'pressure', 'sensors', 'inside', 'the', 'volume', 'and', 'to', 'explore', 'the', 'design', 'space', 'in', 'simulation', 'we', 'validate', 'our', 'approach', 'on', 'physically', 'implemented', 'tactile', 'domes', 'which', 'achieve', 'high', 'contact', 'localization', 'accuracy', '11mm', 'in', 'the', 'best', 'case', 'over', 'a', 'large', 'curved', 'sensing', 'area', '1300mm2', 'hemisphere', 'we', 'believe', 'this', 'approach', 'can', 'be', 'used', 'to', 'deploy', 'tactile', 'sensing', 'capabilities', 'over', 'three', 'dimensional', 'surfaces', 'such', 'as', 'a', 'robotic', 'finger', 'or', 'palm']] | [-0.08090974196661697, 0.06223040898357583, -0.047337227116533834, -0.040843471577445174, -0.08555163447420265, -0.16696652087794486, 0.02991872351632865, 0.4716217309929604, -0.2557315372666994, -0.35254403206974616, 0.12780986031988462, -0.2503517816157275, -0.1676512836318918, 0.238653578700736, -0.15058865242767647, 0.09090618070297561, 0.07068228483373343, 0.015921331714665473, -0.06846916159998347, -0.263435787637718, 0.23469093812190991, 0.03679337503041986, 0.3100083522704365, 0.048343992380555284, 0.1601925131757906, 0.005922173962083666, -0.0025892419995046977, 0.07625653000455755, -0.10663685598161084, 0.15844476273889804, 0.31482219396478517, 0.08151346955889684, 0.24495062309041143, -0.4517482269317085, -0.2745305741000054, 0.07540514051906093, 0.12880543728499824, 0.07104594339305254, -0.06147184648394022, -0.3235537738114227, 0.08173697619552746, -0.1722584733147943, -0.1135349131086408, -0.09004302760775657, -0.028512224151622936, 0.009852791895080076, -0.2170984561062353, -0.0024179982990676233, -0.03451336949635947, 0.09189326767227612, -0.06410686907271833, -0.07657011090182202, 0.04813790130618483, 0.19410005077681786, -0.02871565636163469, 0.015899347934972084, 0.20071160636008392, -0.1301275635078762, -0.08204677862218084, 0.35009984661781685, -0.04048766735074825, -0.2051467194295012, 0.24371301108256502, -0.11996591039175211, -0.08993140738295001, 0.17084741200926865, 0.23661596877304134, 0.1125185550731975, -0.12890365805076218, 0.036292280906034355, 0.038087875320004884, 0.19949891884421367, 0.1037368637639596, -0.011762386874896799, 0.23005915260440563, 0.24309383821132224, 0.08910451687569189, 0.13140944430068524, -0.17237556843780155, -0.01719324577188249, -0.23616443659540343, -0.17368289051295885, -0.1749959186336762, 0.011321236115479626, -0.0838709512402623, -0.13679350956971215, 0.32425447949072955, 0.1891703741390767, 0.1788575159829803, 0.026921807263766653, 0.3902473381807118, 0.015445805637322929, 0.12641219261947068, 0.04778263019397855, 0.2021063049369543, 0.06641941522058575, 0.1256059394448151, -0.14875697553344613, 0.011701171905029738, 0.021631492680848338] |
1,802.09436 | Learning Algebraic Varieties from Samples | We seek to determine a real algebraic variety from a fixed finite subset of
points. Existing methods are studied and new methods are developed. Our focus
lies on aspects of topology and algebraic geometry, such as dimension and
defining polynomials. All algorithms are tested on a range of datasets and made
available in a Julia package.
| math.AG | we seek to determine a real algebraic variety from a fixed finite subset of points existing methods are studied and new methods are developed our focus lies on aspects of topology and algebraic geometry such as dimension and defining polynomials all algorithms are tested on a range of datasets and made available in a julia package | [['we', 'seek', 'to', 'determine', 'a', 'real', 'algebraic', 'variety', 'from', 'a', 'fixed', 'finite', 'subset', 'of', 'points', 'existing', 'methods', 'are', 'studied', 'and', 'new', 'methods', 'are', 'developed', 'our', 'focus', 'lies', 'on', 'aspects', 'of', 'topology', 'and', 'algebraic', 'geometry', 'such', 'as', 'dimension', 'and', 'defining', 'polynomials', 'all', 'algorithms', 'are', 'tested', 'on', 'a', 'range', 'of', 'datasets', 'and', 'made', 'available', 'in', 'a', 'julia', 'package']] | [-0.13295830867718905, -0.012934790957452995, -0.06527216804014253, 0.060811085135875534, -0.10822129214232389, -0.1534605698460447, 0.017684294580249116, 0.36841786993734005, -0.2571688764728606, -0.2562227808770591, 0.16443963042651635, -0.27427765775272356, -0.1390903165696987, 0.29626191332603674, -0.07000570696046841, 0.08358099379776311, 0.07155692898335733, 0.02678878645279578, -0.0883270101621747, -0.30127644279439536, 0.3767889219036858, -0.048554618477023075, 0.26168309338390827, 0.055213240906596184, 0.13879160878215252, -0.03444004097088639, -0.09248518158398968, 0.08053305026675973, -0.1616562389369522, 0.15536674840508827, 0.316869433503598, 0.20200374578624697, 0.2349529327392312, -0.382815174292773, -0.19508230573098576, 0.11678160898320909, 0.125212627687558, 0.07131084435370992, -0.016562504465192824, -0.2626745520454798, 0.11508091292177726, -0.1265618132892996, -0.11345928092487156, -0.14706297145624245, 0.006746013840061745, 0.06416188892243165, -0.22782657252225494, -0.08010953602414313, -0.010696150216972455, 0.1860675947167952, -0.003550548106431961, -0.18231055825266854, 0.021953842490412562, 0.12642287367946534, -0.01712612870947591, 0.016521834784985652, 0.12269605146554698, -0.05676265307868432, -0.1496151157854391, 0.39047002003228826, 0.0044217912613281184, -0.24310310816924488, 0.26985050433514907, -0.09584992400570107, -0.15090625543546463, 0.07995068168799792, 0.21977109782996454, 0.15198016998225025, -0.09313127686203058, 0.21326171027612872, -0.05457453909496378, 0.11860867895718132, 0.021148686488491615, 0.0011320168268866837, 0.14697048370726407, 0.14357918317961907, 0.0122842568172408, 0.11886556858163592, -0.0378629881472859, -0.09505221832452142, -0.2858222083533682, -0.09610410016362689, -0.1974651684473169, 0.01053599180886522, -0.09637721426614528, -0.2110761750788827, 0.42776922738578704, 0.14655101093064463, 0.20076150660003936, 0.04023693648300001, 0.29148906875135644, 0.01875340598469068, 0.04604611989010924, 0.11337952834687062, 0.1397473318876499, 0.09519437236511814, 0.021530270027661964, -0.10840150236617774, 0.02144255840851526, 0.09927893914781245] |
1,802.09437 | Cavity quantum-electrodynamical polaritonically enhanced electron-phonon
coupling and its influence on superconductivity | Laser control of solids was so far mainly discussed in the context of strong
classical nonlinear light-matter coupling in a pump-probe framework. Here we
propose a quantum-electrodynamical setting to address the coupling of a
low-dimensional quantum material to quantized electromagnetic fields in quantum
cavities. Using a protoypical model system describing FeSe/SrTiO$_3$ with
electron-phonon long-range forward scattering, we study how the formation of
phonon polaritons at the 2D interface of the material modifies effective
couplings and superconducting properties in a Migdal-Eliashberg simulation. We
find that through highly polarizable dipolar phonons, large cavity-enhanced
electron-phonon couplings are possible but superconductivity is not enhanced
for the forward-scattering pairing mechanism due to the interplay between
coupling enhancement and mode softening. An analysis of critical temperature
dependencies on couplings and mode frequencies suggests that that
cavity-enhanced superconductivity is possible for more conventional short-range
pairing mechanisms. Our results demonstrate that quantum cavities enable the
engineering of fundamental couplings in solids paving the way to unprecedented
control of material properties.
| cond-mat.supr-con quant-ph | laser control of solids was so far mainly discussed in the context of strong classical nonlinear lightmatter coupling in a pumpprobe framework here we propose a quantumelectrodynamical setting to address the coupling of a lowdimensional quantum material to quantized electromagnetic fields in quantum cavities using a protoypical model system describing fesesrtio_3 with electronphonon longrange forward scattering we study how the formation of phonon polaritons at the 2d interface of the material modifies effective couplings and superconducting properties in a migdaleliashberg simulation we find that through highly polarizable dipolar phonons large cavityenhanced electronphonon couplings are possible but superconductivity is not enhanced for the forwardscattering pairing mechanism due to the interplay between coupling enhancement and mode softening an analysis of critical temperature dependencies on couplings and mode frequencies suggests that that cavityenhanced superconductivity is possible for more conventional shortrange pairing mechanisms our results demonstrate that quantum cavities enable the engineering of fundamental couplings in solids paving the way to unprecedented control of material properties | [['laser', 'control', 'of', 'solids', 'was', 'so', 'far', 'mainly', 'discussed', 'in', 'the', 'context', 'of', 'strong', 'classical', 'nonlinear', 'lightmatter', 'coupling', 'in', 'a', 'pumpprobe', 'framework', 'here', 'we', 'propose', 'a', 'quantumelectrodynamical', 'setting', 'to', 'address', 'the', 'coupling', 'of', 'a', 'lowdimensional', 'quantum', 'material', 'to', 'quantized', 'electromagnetic', 'fields', 'in', 'quantum', 'cavities', 'using', 'a', 'protoypical', 'model', 'system', 'describing', 'fesesrtio_3', 'with', 'electronphonon', 'longrange', 'forward', 'scattering', 'we', 'study', 'how', 'the', 'formation', 'of', 'phonon', 'polaritons', 'at', 'the', '2d', 'interface', 'of', 'the', 'material', 'modifies', 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1,802.09438 | Role of phonon skew scattering in the spin Hall effect of platinum | We measure and analyze the effective spin Hall angle of platinum in the low
residual resistivity regime by second harmonic measurements of the spin-orbit
torques for a multilayer of Pt/Co/AlO$_x$. An angular dependent study of the
torques allows us to extract the effective spin Hall angle responsible for the
damping-like torque in the system. We observe a strikingly non-monotonic and
reproducible temperature dependence of the torques. This behavior is compatible
with recent theoretical predictions which include both intrinsic and extrinsic
(impurities and phonons) contributions to the spin Hall effect at finite
temperature.
| cond-mat.mes-hall | we measure and analyze the effective spin hall angle of platinum in the low residual resistivity regime by second harmonic measurements of the spinorbit torques for a multilayer of ptcoalo_x an angular dependent study of the torques allows us to extract the effective spin hall angle responsible for the dampinglike torque in the system we observe a strikingly nonmonotonic and reproducible temperature dependence of the torques this behavior is compatible with recent theoretical predictions which include both intrinsic and extrinsic impurities and phonons contributions to the spin hall effect at finite temperature | [['we', 'measure', 'and', 'analyze', 'the', 'effective', 'spin', 'hall', 'angle', 'of', 'platinum', 'in', 'the', 'low', 'residual', 'resistivity', 'regime', 'by', 'second', 'harmonic', 'measurements', 'of', 'the', 'spinorbit', 'torques', 'for', 'a', 'multilayer', 'of', 'ptcoalo_x', 'an', 'angular', 'dependent', 'study', 'of', 'the', 'torques', 'allows', 'us', 'to', 'extract', 'the', 'effective', 'spin', 'hall', 'angle', 'responsible', 'for', 'the', 'dampinglike', 'torque', 'in', 'the', 'system', 'we', 'observe', 'a', 'strikingly', 'nonmonotonic', 'and', 'reproducible', 'temperature', 'dependence', 'of', 'the', 'torques', 'this', 'behavior', 'is', 'compatible', 'with', 'recent', 'theoretical', 'predictions', 'which', 'include', 'both', 'intrinsic', 'and', 'extrinsic', 'impurities', 'and', 'phonons', 'contributions', 'to', 'the', 'spin', 'hall', 'effect', 'at', 'finite', 'temperature']] | [-0.1767830932765956, 0.21023363447586788, -0.07625234071873939, 0.00523067832134826, -0.09822735074229295, -0.12838132716917797, 0.022093558048768697, 0.3517051008833653, -0.2822890248068649, -0.2943807769283328, -0.016579756308245756, -0.306904360674905, -0.13475877782532378, 0.2295072080830679, 0.018296840043900454, 0.018706185282612947, -0.06689433336419903, -0.06407496729187424, -0.11615406615538118, -0.1385519836583863, 0.30190543334364245, 0.055213811736472926, 0.3057644024805125, 0.12949739210813752, 0.12994757671739257, 0.04054868858277231, 0.03306623028955706, 0.0562306660855108, -0.17019856467073702, 0.03462070064700168, 0.21268998352689264, -0.17851052979265503, 0.14492200691576884, -0.4441293025510791, -0.14160400411334273, -0.02411498256918529, 0.06124028218808868, 0.19186832292547004, -0.04647862548312253, -0.22639511193594206, 0.0017839997763866963, -0.19188948644264398, -0.12325672540464438, -0.12962637506627842, 0.08854769469421032, -0.06003580196398695, -0.29331564685613243, 0.13371926024442277, 0.1374788996156143, 0.09574082502892808, -0.08209825914072218, -0.14192559275872316, -0.06944499411569584, 0.11436134427418912, 0.09130397978309623, 0.04134066715461971, 0.21748221991077551, -0.13970651076575133, -0.13710920403347068, 0.300693565412708, -0.1226338232416943, -0.16081266755076207, 0.14273736794458944, -0.24005683183001922, -0.04018612936867968, 0.11017454480347426, 0.18910909308444546, 0.11014435738584523, -0.14795116037535277, 0.04746634278316102, 0.02233969677320641, 0.14285549553840057, -0.014205598090167927, 0.07082890239847905, 0.2915562873949175, 0.14625457349314314, 0.039409155738489375, 0.14271992050192278, -0.17591581999769676, -0.019634888029110658, -0.21784097831645657, -0.1316044151722251, -0.19035322594699328, 0.0946961288763028, -0.09233619363247113, -0.13948985451387, 0.39765850724854873, 0.19894025300100507, 0.2116521179433102, 0.01460584873490481, 0.3060763141788218, 0.1360321647738127, 0.10693291391615513, 0.03338001531285598, 0.291788864992154, 0.22449694005215703, 0.13413687985714362, -0.40912345532389893, 0.11136792493736088, -0.03988715726376066] |
1,802.09439 | Cosmological constant from condensation of defect excitations | A key challenge for many quantum gravity approaches is to construct states
that describe smooth geometries on large scales. Here we define a family of
$(2+1)$-dimensional quantum gravity states which arise from curvature
excitations concentrated at point like defects and describe homogeneously
curved geometries on large scales. These states represent therefore vacua for
three-dimensional gravity with different values of the cosmological constant.
They can be described by an anomaly-free first class constraint algebra
quantized on one and the same Hilbert space for different values of the
cosmological constant. A similar construction is possible in four dimensions,
in this case the curvature is concentrated along string-like defects and the
states are vacua of the Crane-Yetter model. We will sketch applications for
quantum cosmology and condensed matter.
| gr-qc cond-mat.str-el hep-th | a key challenge for many quantum gravity approaches is to construct states that describe smooth geometries on large scales here we define a family of 21dimensional quantum gravity states which arise from curvature excitations concentrated at point like defects and describe homogeneously curved geometries on large scales these states represent therefore vacua for threedimensional gravity with different values of the cosmological constant they can be described by an anomalyfree first class constraint algebra quantized on one and the same hilbert space for different values of the cosmological constant a similar construction is possible in four dimensions in this case the curvature is concentrated along stringlike defects and the states are vacua of the craneyetter model we will sketch applications for quantum cosmology and condensed matter | [['a', 'key', 'challenge', 'for', 'many', 'quantum', 'gravity', 'approaches', 'is', 'to', 'construct', 'states', 'that', 'describe', 'smooth', 'geometries', 'on', 'large', 'scales', 'here', 'we', 'define', 'a', 'family', 'of', '21dimensional', 'quantum', 'gravity', 'states', 'which', 'arise', 'from', 'curvature', 'excitations', 'concentrated', 'at', 'point', 'like', 'defects', 'and', 'describe', 'homogeneously', 'curved', 'geometries', 'on', 'large', 'scales', 'these', 'states', 'represent', 'therefore', 'vacua', 'for', 'threedimensional', 'gravity', 'with', 'different', 'values', 'of', 'the', 'cosmological', 'constant', 'they', 'can', 'be', 'described', 'by', 'an', 'anomalyfree', 'first', 'class', 'constraint', 'algebra', 'quantized', 'on', 'one', 'and', 'the', 'same', 'hilbert', 'space', 'for', 'different', 'values', 'of', 'the', 'cosmological', 'constant', 'a', 'similar', 'construction', 'is', 'possible', 'in', 'four', 'dimensions', 'in', 'this', 'case', 'the', 'curvature', 'is', 'concentrated', 'along', 'stringlike', 'defects', 'and', 'the', 'states', 'are', 'vacua', 'of', 'the', 'craneyetter', 'model', 'we', 'will', 'sketch', 'applications', 'for', 'quantum', 'cosmology', 'and', 'condensed', 'matter']] | [-0.1365300879776478, 0.21212909582641443, -0.07191230723634362, 0.09749627649225294, -0.04932707503065467, -0.17867404842749238, -0.07097749303095043, 0.31712200090289117, -0.22918563072383405, -0.263401696562767, 0.08173083214089275, -0.26007645776122806, -0.12166364455223083, 0.17643273325823247, -0.06735039833560585, 0.027817698648432268, -0.0008637939654290676, 0.01563322862237692, -0.07861594743980095, -0.24225967433303594, 0.4029938054159284, 0.005038189792074263, 0.2710435451306403, 0.009038240805268287, 0.1020999838449061, -0.07725963308475911, 0.022062921941280365, 0.06453330741426908, -0.18863344691164094, 0.09521661000512541, 0.25829340479150414, 0.04463284446671605, 0.1863757414035499, -0.43276158191263675, -0.2551562831045594, 0.09166262272745371, 0.12891544484719633, 0.20318086577113717, -0.0473705963185057, -0.29098506495915355, 0.04571374037116766, -0.12516586585342884, -0.13931418380513788, -0.09288265763781965, 0.02801339852809906, -0.07957237698510289, -0.18703912882180884, 0.055952392742037775, -0.024999486876185983, -0.0007051790878176689, -0.0744561661966145, -0.09416817172989249, -0.021422033794224263, 0.09199246092513204, 0.023289280322380364, 0.015433772210031747, 0.14077940783277154, -0.1467355003338307, -0.14305657351762055, 0.398281340548303, -0.055216913185548035, -0.2401717272102833, 0.1815343805104494, -0.12968686706200241, -0.1939197849109769, 0.08227050367556513, 0.159829516580794, 0.15672927899286151, -0.06404290255531668, 0.16792730038060108, -0.030739850571379065, 0.12836528219399043, 0.07532208059728146, 0.08393012703582645, 0.3149989343956113, 0.09569614766165614, 0.0799308255459182, 0.10468607541080564, -0.05457567176409066, -0.15366185027407483, -0.3856048317402601, -0.18485556150064802, -0.18538178803771735, 0.08977241404727102, -0.11545862601464614, -0.20626233051717283, 0.38359237295016646, 0.1021278097294271, 0.18561452806741, 0.043485867637209595, 0.19312376900948583, 0.06071330918371677, 0.07245923047699034, 0.0703558290861547, 0.22636607227826608, 0.11065576271340251, 0.065273946383968, -0.17184058125689625, -0.06240344155393541, 0.0679174165725708] |
1,802.0944 | Two-species diffusion-annihilation process on the fully-connected
lattice: probability distributions and extreme value statistics | We study the two-species diffusion-annihilation process, $A+B\rightarrow$ \O,
on the fully-connected lattice. Probability distributions for the number of
particles and the reaction time are obtained for a finite-size system using a
master equation approach. Mean values and variances are deduced from generating
functions. When the reaction is far from complete, i.e., for a large number of
particles of each species, mean-field theory is exact and the fluctuations are
Gaussian. In the scaling limit the reaction time displays extreme-value
statistics in the vicinity of the absorbing states. A generalized Gumbel
distribution is obtained for unequal initial densities, $\rho_A>\rho_B$. For
equal or almost equal initial densities, $\rho_A\simeq\rho_B$, the fluctuations
of the reaction time near the absorbing state are governed by a probability
density involving derivatives of $\vartheta_4$, the Jacobi theta function.
| cond-mat.stat-mech | we study the twospecies diffusionannihilation process abrightarrow o on the fullyconnected lattice probability distributions for the number of particles and the reaction time are obtained for a finitesize system using a master equation approach mean values and variances are deduced from generating functions when the reaction is far from complete ie for a large number of particles of each species meanfield theory is exact and the fluctuations are gaussian in the scaling limit the reaction time displays extremevalue statistics in the vicinity of the absorbing states a generalized gumbel distribution is obtained for unequal initial densities rho_arho_b for equal or almost equal initial densities rho_asimeqrho_b the fluctuations of the reaction time near the absorbing state are governed by a probability density involving derivatives of vartheta_4 the jacobi theta function | [['we', 'study', 'the', 'twospecies', 'diffusionannihilation', 'process', 'abrightarrow', 'o', 'on', 'the', 'fullyconnected', 'lattice', 'probability', 'distributions', 'for', 'the', 'number', 'of', 'particles', 'and', 'the', 'reaction', 'time', 'are', 'obtained', 'for', 'a', 'finitesize', 'system', 'using', 'a', 'master', 'equation', 'approach', 'mean', 'values', 'and', 'variances', 'are', 'deduced', 'from', 'generating', 'functions', 'when', 'the', 'reaction', 'is', 'far', 'from', 'complete', 'ie', 'for', 'a', 'large', 'number', 'of', 'particles', 'of', 'each', 'species', 'meanfield', 'theory', 'is', 'exact', 'and', 'the', 'fluctuations', 'are', 'gaussian', 'in', 'the', 'scaling', 'limit', 'the', 'reaction', 'time', 'displays', 'extremevalue', 'statistics', 'in', 'the', 'vicinity', 'of', 'the', 'absorbing', 'states', 'a', 'generalized', 'gumbel', 'distribution', 'is', 'obtained', 'for', 'unequal', 'initial', 'densities', 'rho_arho_b', 'for', 'equal', 'or', 'almost', 'equal', 'initial', 'densities', 'rho_asimeqrho_b', 'the', 'fluctuations', 'of', 'the', 'reaction', 'time', 'near', 'the', 'absorbing', 'state', 'are', 'governed', 'by', 'a', 'probability', 'density', 'involving', 'derivatives', 'of', 'vartheta_4', 'the', 'jacobi', 'theta', 'function']] | [-0.11353125405366882, 0.19645602837044862, -0.08904731864549831, 0.07567463546872943, 0.05268065835480229, -0.1099411979339493, 0.052296248165475845, 0.30915850709425285, -0.21897948785226617, -0.2447802450187737, 0.043655779385517235, -0.31757557181845186, -0.07081853393356141, 0.13800942060879606, 0.037061488171275414, 0.08565719287537377, 0.027001350883438135, 0.07320940862882708, -0.06343773048683943, -0.19046038375381613, 0.3381400635953469, 0.024915724951824814, 0.2665036692415015, -0.0033575295283299056, 0.11050292842264753, 0.015196146041489556, 0.01670836432276701, -0.010034785670541169, -0.1427212909948139, 0.05853634834193144, 0.18149476897906425, 0.06402122926010634, 0.2341380998805107, -0.38849605833456735, -0.20903241444102605, 0.12716303258639527, 0.1406840712588746, 0.12317881383205531, 0.0032521753546461696, -0.27646276136511005, 0.020475513927522115, -0.14794058389088605, -0.18809303136731614, -0.019188702612154884, 0.05212982302691671, 0.11587274539760983, -0.33011830621398985, 0.14316797592618968, 0.007820631335562211, 0.039168649302155245, -0.07397053130625864, -0.1725441088556181, -0.042395064167067176, 0.10818788267465607, 0.021243282129717045, -0.01812166293802875, 0.14718263290342293, -0.1504046596965054, -0.04932768884827965, 0.3348709066922311, -0.0515907522985799, -0.22560240688471822, 0.13638304676715052, -0.18090966019735788, -0.10878745879745111, 0.1922977557842387, 0.13950187237060163, 0.13529725515036262, -0.155518365949888, 0.10306958937735544, -0.015914402573798725, 0.11039579243515618, 0.09047974286659155, -0.008669521837873617, 0.1633774734873441, 0.12470188682891603, 0.04680507264129119, 0.13187002157064853, -0.09387322854126978, -0.1965962766453231, -0.31418898154515773, -0.12659339656511293, -0.24513213461614214, 0.09916553123821359, -0.12290945200595615, -0.16035873792498023, 0.3389806244522333, 0.08353734743513996, 0.21330896152358036, 0.11301711569467443, 0.2333021526428638, 0.20731702229250004, -0.009787815160962055, 0.0751353918985842, 0.16010077073508455, 0.16504296871062252, 0.06651506852722378, -0.20940118927683216, 0.11394834494672068, 0.07884905361606798] |
1,802.09441 | Interplay between orbital-quantization effects and the
Fulde-Ferrell-Larkin-Ovchinnikov instability in multiple-band layered
superconductors | We explore superconducting instability for a clean two-band layered
superconductor with deep and shallow bands in the magnetic field applied
perpendicular to the layers. In the shallow band, the quasiclassical
approximation is not applicable, and Landau quantization has to be accounted
for exactly. The electronic spectrum of this band in the magnetic field is
composed of the one-dimensional Landau-level minibands. With increasing
magnetic field the system experiences series of Lifshitz transitions when the
chemical potential enters and exits the minibands. These transitions profoundly
influence the shape of the upper critical field at low temperatures. In
addition, the Zeeman spin splitting may cause the nonuniform state with
interlayer modulation of the superconducting order parameter
(Fulde-Ferrell-Larkin-Ovchinnikov state). Typically, the quantization effects
in the shallow band strongly promote the formation of this state. The uniform
state remains favorable only in the exceptional resonance cases when the
spin-splitting energy exactly matches the Landau-level spacing. Furthermore,
for specific relations between electronic spectrum parameters, the alternating
FFLO state may realize, in which the order parameter changes sign between the
neighboring layers. For all above cases, the reentrant high-field
superconducting states may emerge at low temperatures if the shallow band has
significant contribution to the Cooper pairing.
| cond-mat.supr-con cond-mat.str-el | we explore superconducting instability for a clean twoband layered superconductor with deep and shallow bands in the magnetic field applied perpendicular to the layers in the shallow band the quasiclassical approximation is not applicable and landau quantization has to be accounted for exactly the electronic spectrum of this band in the magnetic field is composed of the onedimensional landaulevel minibands with increasing magnetic field the system experiences series of lifshitz transitions when the chemical potential enters and exits the minibands these transitions profoundly influence the shape of the upper critical field at low temperatures in addition the zeeman spin splitting may cause the nonuniform state with interlayer modulation of the superconducting order parameter fuldeferrelllarkinovchinnikov state typically the quantization effects in the shallow band strongly promote the formation of this state the uniform state remains favorable only in the exceptional resonance cases when the spinsplitting energy exactly matches the landaulevel spacing furthermore for specific relations between electronic spectrum parameters the alternating fflo state may realize in which the order parameter changes sign between the neighboring layers for all above cases the reentrant highfield superconducting states may emerge at low temperatures if the shallow band has significant contribution to the cooper pairing | [['we', 'explore', 'superconducting', 'instability', 'for', 'a', 'clean', 'twoband', 'layered', 'superconductor', 'with', 'deep', 'and', 'shallow', 'bands', 'in', 'the', 'magnetic', 'field', 'applied', 'perpendicular', 'to', 'the', 'layers', 'in', 'the', 'shallow', 'band', 'the', 'quasiclassical', 'approximation', 'is', 'not', 'applicable', 'and', 'landau', 'quantization', 'has', 'to', 'be', 'accounted', 'for', 'exactly', 'the', 'electronic', 'spectrum', 'of', 'this', 'band', 'in', 'the', 'magnetic', 'field', 'is', 'composed', 'of', 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1,802.09442 | Self-organizing maps and generalization: an algorithmic description of
Numerosity and Variability Effects | Category, or property generalization is a central function in the human
cognition. It plays a crucial role in a variety of domains, such as learning,
everyday reasoning, specialized reasoning, and decision making. Judging the
content of a dish as edible, a hormone level as healthy, a building as
belonging to the same architectural style as previously seen buildings, are
examples of category generalization. In this paper, we propose self-organizing
maps as candidates to explain the psychological mechanisms underlying category
generalization. Self-organizing maps are psychologically and biologically
plausible neural network models that learn after limited exposure to positive
category examples, without any need of contrastive information. Just like
humans. They reproduce human behavior in category generalization, in particular
for what concerns the well-known Numerosity and Variability effects, which are
usually explained with Bayesian tools. Where category generalization is
concerned, self-organizing maps are good candidates to bridge the gap between
the computational level of analysis in Marr's hierarchy (where Bayesian models
are situated) and the algorithmic level of aanalysis in Marr's hierarchy (where
Bayesian models are situated) and the algorithmic level of analysis in which
plausible mechanisms are described.
| cs.AI q-bio.NC | category or property generalization is a central function in the human cognition it plays a crucial role in a variety of domains such as learning everyday reasoning specialized reasoning and decision making judging the content of a dish as edible a hormone level as healthy a building as belonging to the same architectural style as previously seen buildings are examples of category generalization in this paper we propose selforganizing maps as candidates to explain the psychological mechanisms underlying category generalization selforganizing maps are psychologically and biologically plausible neural network models that learn after limited exposure to positive category examples without any need of contrastive information just like humans they reproduce human behavior in category generalization in particular for what concerns the wellknown numerosity and variability effects which are usually explained with bayesian tools where category generalization is concerned selforganizing maps are good candidates to bridge the gap between the computational level of analysis in marrs hierarchy where bayesian models are situated and the algorithmic level of aanalysis in marrs hierarchy where bayesian models are situated and the algorithmic level of analysis in which plausible mechanisms are described | [['category', 'or', 'property', 'generalization', 'is', 'a', 'central', 'function', 'in', 'the', 'human', 'cognition', 'it', 'plays', 'a', 'crucial', 'role', 'in', 'a', 'variety', 'of', 'domains', 'such', 'as', 'learning', 'everyday', 'reasoning', 'specialized', 'reasoning', 'and', 'decision', 'making', 'judging', 'the', 'content', 'of', 'a', 'dish', 'as', 'edible', 'a', 'hormone', 'level', 'as', 'healthy', 'a', 'building', 'as', 'belonging', 'to', 'the', 'same', 'architectural', 'style', 'as', 'previously', 'seen', 'buildings', 'are', 'examples', 'of', 'category', 'generalization', 'in', 'this', 'paper', 'we', 'propose', 'selforganizing', 'maps', 'as', 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1,802.09443 | Power substitution in quasianalytic Carleman classes | Consider an equation of the form $f(x)=g(x^k)$, where $k>1$ and $f(x)$ is a
function in a given Carleman class of smooth functions. For each $k$, we
construct a Carleman-type class which contains all the smooth solutions $g(x)$
to such equations. We prove, under regularity assumptions, that if the original
Carleman class is quasianalytic, then so is the new class. The results admit an
extension to multivariate functions.
| math.CA | consider an equation of the form fxgxk where k1 and fx is a function in a given carleman class of smooth functions for each k we construct a carlemantype class which contains all the smooth solutions gx to such equations we prove under regularity assumptions that if the original carleman class is quasianalytic then so is the new class the results admit an extension to multivariate functions | [['consider', 'an', 'equation', 'of', 'the', 'form', 'fxgxk', 'where', 'k1', 'and', 'fx', 'is', 'a', 'function', 'in', 'a', 'given', 'carleman', 'class', 'of', 'smooth', 'functions', 'for', 'each', 'k', 'we', 'construct', 'a', 'carlemantype', 'class', 'which', 'contains', 'all', 'the', 'smooth', 'solutions', 'gx', 'to', 'such', 'equations', 'we', 'prove', 'under', 'regularity', 'assumptions', 'that', 'if', 'the', 'original', 'carleman', 'class', 'is', 'quasianalytic', 'then', 'so', 'is', 'the', 'new', 'class', 'the', 'results', 'admit', 'an', 'extension', 'to', 'multivariate', 'functions']] | [-0.11934798064105438, -0.008853916996458516, -0.08775413174633727, 0.06393973601128285, -0.14093012953967307, -0.14436893718966254, -0.05461462000102708, 0.3336450397178079, -0.32310992580923165, -0.15538572927824024, 0.11399009903349604, -0.2910477522986405, -0.1678934343102755, 0.20948375309958603, -0.06957947691747297, 0.05458195956960095, 0.026821161673234947, 0.07052647086763472, -0.10168519138824195, -0.2591984127542343, 0.4046431135273341, -0.13349582506061503, 0.16104727099423832, 0.0114264470537433, 0.16878230282754608, 0.008644793838770553, 0.05524973395619203, -0.023543944850451116, -0.20245884093299427, 0.07265213113560369, 0.26962691985042486, 0.13967207219155336, 0.3399275728698933, -0.33782881138507614, -0.20126785025367458, 0.21239368132118022, 0.04227962509982965, 0.03346769180621557, -0.025621072237492735, -0.21696388512624032, 0.14489851341314727, -0.10838056244238307, -0.2017533137237258, -0.06861956814078218, 0.04565088130590139, 0.08392958327506979, -0.40421951545233076, 0.023508719387323115, 0.10528586560747388, 0.006585974218041608, -0.1366839034652168, -0.09102182450111616, -0.017461249294380348, 0.02973514989328881, 0.022895641206890683, 0.08610465552721341, 0.02245489923481011, -0.1289155297364976, -0.04011458929303582, 0.31772933733847103, -0.09381526073610241, -0.31930364436949743, 0.1266203194637924, -0.1384322135991445, -0.20457437723367053, 0.1068654717651732, 0.1266340233145677, 0.2196093988745953, -0.16965549633922902, 0.17846361570197836, -0.139284559638437, 0.14505549643019383, 0.04436906626109372, 0.01833429150142227, 0.07533508127160145, 0.08063224909357924, 0.15982311880074893, 0.1837827869175905, -0.020131726636353767, -0.03153882018346904, -0.39756613123145973, -0.16590846902831938, -0.17061221421957298, 0.15154451116298637, -0.10173474710807734, -0.2463428549553183, 0.41449484026948497, 0.07893217946261619, 0.1742257185828886, 0.14350876356933662, 0.16640054709701377, 0.1958636472735441, 0.023936680986397816, 0.1581649941914348, 0.12670107889976917, 0.11483789424792948, 0.022710388469876663, -0.09212345613702906, 0.04593553077288424, 0.18868140122063007] |
1,802.09444 | Generalizing Parallel Replica Dynamics: Trajectory Fragments,
Asynchronous Computing, and PDMPs | We study the Parallel Replica Dynamics in a general setting. We introduce a
trajectory fragment framework that can be used to design and prove consistency
of Parallel Replica algorithms for generic Markov processes. We use our
framework to formulate a novel condition that guarantees an asynchronous
algorithm is consistent. Exploiting this condition and our trajectory fragment
framework, we present new synchronous and asynchronous Parallel Replica
algorithms for piecewise deterministic Markov processes.
| math.NA | we study the parallel replica dynamics in a general setting we introduce a trajectory fragment framework that can be used to design and prove consistency of parallel replica algorithms for generic markov processes we use our framework to formulate a novel condition that guarantees an asynchronous algorithm is consistent exploiting this condition and our trajectory fragment framework we present new synchronous and asynchronous parallel replica algorithms for piecewise deterministic markov processes | [['we', 'study', 'the', 'parallel', 'replica', 'dynamics', 'in', 'a', 'general', 'setting', 'we', 'introduce', 'a', 'trajectory', 'fragment', 'framework', 'that', 'can', 'be', 'used', 'to', 'design', 'and', 'prove', 'consistency', 'of', 'parallel', 'replica', 'algorithms', 'for', 'generic', 'markov', 'processes', 'we', 'use', 'our', 'framework', 'to', 'formulate', 'a', 'novel', 'condition', 'that', 'guarantees', 'an', 'asynchronous', 'algorithm', 'is', 'consistent', 'exploiting', 'this', 'condition', 'and', 'our', 'trajectory', 'fragment', 'framework', 'we', 'present', 'new', 'synchronous', 'and', 'asynchronous', 'parallel', 'replica', 'algorithms', 'for', 'piecewise', 'deterministic', 'markov', 'processes']] | [-0.14144871202887785, 0.059228110837325466, -0.14344805479049683, 0.1142439102937638, -0.09397606003347417, -0.18025194447566295, 0.0838677082046814, 0.46770663057047296, -0.3144655728542154, -0.21971046053607698, 0.0772194591937849, -0.10656740448214638, -0.1876564381634292, 0.13148946737424588, -0.0878230182873741, 0.11979323523250264, 0.10641853548061679, -0.03606027815963181, -0.029497076134184296, -0.1775873755924666, 0.2536882247356042, 0.03980516370805636, 0.3150770115521802, 0.005134336965184816, 0.15942016591540945, 0.0826520361727707, 0.04320290045235568, 0.03569248882220717, -0.13242313081606022, 0.11938623384848027, 0.23874344260917163, 0.23783784861755097, 0.28682059592659204, -0.4608964762899657, -0.15426634886944798, 0.11437849703074342, 0.1520090695785385, 0.1933770755561672, -0.06523700856315104, -0.2931520801404832, 0.14307839276505188, -0.16740650376698502, -0.09439644979109699, -0.14292364878396333, -0.11531811043567641, 0.010331248166039586, -0.3581133801883585, 0.01483591738432436, 0.11185940536080112, 0.043860751256661515, -0.051234506739592046, -0.027192666223207096, 0.10942278039628561, 0.06080972713510126, 0.0018159874459125207, 0.021375705950408126, 0.1120857120078372, 0.01269298616442567, -0.22814806298562654, 0.3271091835914363, -0.07471471544827374, -0.23058845168373115, 0.17660643084263297, -0.0011332216082324445, -0.27105710429834645, 0.09505928242185586, 0.23759345123937853, 0.19717377056957971, -0.2278779059727217, 0.11531883979652366, -0.047191059282443056, 0.16025239327581417, -0.017471702982553503, -0.024281611668542813, 0.1268020844821569, 0.18890158649743863, 0.10987508885929702, 0.2242583862922325, -0.009858425418046159, -0.22628862851522338, -0.3247991533176055, -0.1923067461384434, -0.11695307653239916, -0.07463460191297279, -0.09728616819012759, -0.16466879393433181, 0.3622505980294565, 0.207266943134092, 0.15426521900464113, 0.21930170915758526, 0.3478389737576666, 0.11726112288921337, -0.011939933853105865, 0.17300041126821872, 0.1409993104859662, 0.12072392652781916, 0.11575845646029206, -0.17433157806533953, 0.0924834855569815, 0.08907330752527473] |
1,802.09445 | Connectivity of hyperplane sections of domains | During the conference held in 2017 in Minneapolis for his 60th birthday,
Gennady Lyubeznik proposed the following problem: Find a complete local domain
and an element in it having three minimal primes such that the sum of any two
of them has height 2 and the sum of the three of them has height 4. In this
note this beautiful problem will be discussed, and will be shown that the
principle leading to the fact that such a ring cannot exist is false. The
specific problem, though, remains open
| math.AC | during the conference held in 2017 in minneapolis for his 60th birthday gennady lyubeznik proposed the following problem find a complete local domain and an element in it having three minimal primes such that the sum of any two of them has height 2 and the sum of the three of them has height 4 in this note this beautiful problem will be discussed and will be shown that the principle leading to the fact that such a ring cannot exist is false the specific problem though remains open | [['during', 'the', 'conference', 'held', 'in', '2017', 'in', 'minneapolis', 'for', 'his', '60th', 'birthday', 'gennady', 'lyubeznik', 'proposed', 'the', 'following', 'problem', 'find', 'a', 'complete', 'local', 'domain', 'and', 'an', 'element', 'in', 'it', 'having', 'three', 'minimal', 'primes', 'such', 'that', 'the', 'sum', 'of', 'any', 'two', 'of', 'them', 'has', 'height', '2', 'and', 'the', 'sum', 'of', 'the', 'three', 'of', 'them', 'has', 'height', '4', 'in', 'this', 'note', 'this', 'beautiful', 'problem', 'will', 'be', 'discussed', 'and', 'will', 'be', 'shown', 'that', 'the', 'principle', 'leading', 'to', 'the', 'fact', 'that', 'such', 'a', 'ring', 'can', 'not', 'exist', 'is', 'false', 'the', 'specific', 'problem', 'though', 'remains', 'open']] | [-0.13102484186666527, 0.09157318873687391, -0.10419960501028246, 0.043646237274024925, -0.051990719593203304, -0.11250233887747098, 0.0019867232623980956, 0.31852800826531613, -0.2989757657417337, -0.30651131387423264, 0.1558104375680762, -0.2694702244395118, -0.15846489509044404, 0.18788510267204198, -0.130916859724381, -0.002783054883560438, 0.04968537472900045, 0.08151475662428341, -0.02183438120985383, -0.36435532691271116, 0.3186861833013343, 0.012111964541372288, 0.2355291214496881, 0.13922314953289172, 0.097456180406839, 0.008316085344243251, -0.01763026382292757, 0.021751804830600623, -0.1036109650059403, 0.09724024168001173, 0.28228154809873424, 0.16704182167997939, 0.29165913037474406, -0.4019811008167401, -0.1477548015837589, 0.15336559079011924, 0.10553294321877903, 0.09108089992588156, -0.028346274177585676, -0.20039705759479423, 0.11924834360023227, -0.15917159662990088, -0.14429333292240842, 0.020666294532378067, 0.08145501931313048, -0.008261950676109684, -0.21530117220611553, 0.029812694040618922, 0.11099374825867374, 0.050312418354612386, -0.014781763473672143, -0.13005437240464968, 0.04178622966171818, 0.13322493979142289, 0.04658285173420072, 0.054075500216293204, 0.018231422629918944, -0.08705013956393251, -0.13721511891802377, 0.3814116691689143, -0.01851116283011905, -0.1598801938319851, 0.17861870361826895, -0.14897445763272935, -0.144507681889449, 0.09210576952089754, 0.08584042446258781, 0.10753829370114136, -0.1270959794605046, 0.11122056319485575, -0.11466393010753594, 0.15726940221221217, 0.13407894576575313, -0.036919396522381666, 0.22084833626645836, 0.11298915081437719, 0.07698555855019007, 0.09188494175996924, -0.05714300201141035, -0.03584402011644639, -0.3231987393346061, -0.19405125762764994, -0.176405218974007, 0.061713827734851026, -0.011131178932506433, -0.14003574950823278, 0.4009008925994126, 0.12113343813640375, 0.1564402798337213, 0.018218092458176145, 0.2312383454795299, 0.10205144028106097, 0.044256750096598366, 0.08915262878610847, 0.2474954378676046, 0.05815514834241921, 0.09038562057644464, -0.1613648175935554, 0.040831909766106796, 0.07872996947811811] |
1,802.09446 | On sparsity of the solution to a random quadratic optimization problem | The standard quadratic optimization problem (StQP), i.e. the problem of
minimizing a quadratic form $\bold x^TQ\bold x$ on the standard simplex
$\{\bold x\ge\bold 0: \bold x^T\bold e=1\}$, is studied. The StQP arises in
numerous applications, and it is known to be NP-hard. The first author, Peng
and Zhang~\cite{int:Peng-StQP} showed that almost certainly the StQP with a
large random matrix $Q=Q^T$, whose upper-triangular entries are i. i.
concave-distributed, attains its minimum at a point with few positive
components. In this paper we establish sparsity of the solution for a
considerably broader class of the distributions, including those supported by
$(-\infty,\infty)$, provided that the distribution tail is
(super/sub)-exponentially narrow, and also for the matrices $Q=(M+M^T)/2$, when
$M$ is not symmetric. {The likely support size in those cases is shown to be
polylogarithmic in $n$, the problem dimension.} Following~\cite{int:Peng-StQP}
and Chen and Peng ~\cite{ChenPeng2015}, the key ingredients are the first and
second order optimality conditions, and the integral bound for the tail
distribution of the solution support size. To make these results work for our
goal, we obtain a series of estimates involving, in particular, the random
interval partitions induced by the order statistics of the elements $Q_{i,j}$.
| math.PR | the standard quadratic optimization problem stqp ie the problem of minimizing a quadratic form bold xtqbold x on the standard simplex bold xgebold 0 bold xtbold e1 is studied the stqp arises in numerous applications and it is known to be nphard the first author peng and zhangciteintpengstqp showed that almost certainly the stqp with a large random matrix qqt whose uppertriangular entries are i i concavedistributed attains its minimum at a point with few positive components in this paper we establish sparsity of the solution for a considerably broader class of the distributions including those supported by inftyinfty provided that the distribution tail is supersubexponentially narrow and also for the matrices qmmt2 when m is not symmetric the likely support size in those cases is shown to be polylogarithmic in n the problem dimension followingciteintpengstqp and chen and peng citechenpeng2015 the key ingredients are the first and second order optimality conditions and the integral bound for the tail distribution of the solution support size to make these results work for our goal we obtain a series of estimates involving in particular the random interval partitions induced by the order statistics of the elements q_ij | [['the', 'standard', 'quadratic', 'optimization', 'problem', 'stqp', 'ie', 'the', 'problem', 'of', 'minimizing', 'a', 'quadratic', 'form', 'bold', 'xtqbold', 'x', 'on', 'the', 'standard', 'simplex', 'bold', 'xgebold', '0', 'bold', 'xtbold', 'e1', 'is', 'studied', 'the', 'stqp', 'arises', 'in', 'numerous', 'applications', 'and', 'it', 'is', 'known', 'to', 'be', 'nphard', 'the', 'first', 'author', 'peng', 'and', 'zhangciteintpengstqp', 'showed', 'that', 'almost', 'certainly', 'the', 'stqp', 'with', 'a', 'large', 'random', 'matrix', 'qqt', 'whose', 'uppertriangular', 'entries', 'are', 'i', 'i', 'concavedistributed', 'attains', 'its', 'minimum', 'at', 'a', 'point', 'with', 'few', 'positive', 'components', 'in', 'this', 'paper', 'we', 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1,802.09447 | Gravitational wave constraints on dark sector models | We explore the constraints on dark sector models imposed by the recent
observation of coincident gravitational waves and gamma rays from a binary
neutron star merger, GW170817. Rather than focusing on specific models as has
been considered by other authors, we explore this in the context of the
equation of state approach of which the specific models are special cases.
After confirming the strong constraints found by others for Horndeski,
Einstein-Aether and massive gravity models, we discuss how it is possible to
construct models which might evade the constraints from GW170817 but still
leading to cosmologically interesting modifications to gravity. Possible
examples are ``miracle cancellations" such as in $f(R)$ models, nonlocal models
and higher-order derivatives. The latter two rely on the dimensionless ratio of
the wave number of the observed gravitational waves to the Hubble expansion
rate being very large ($\sim10^{19}$) which is used to suppress modifications
to the speed of gravitational waves.
| astro-ph.CO gr-qc | we explore the constraints on dark sector models imposed by the recent observation of coincident gravitational waves and gamma rays from a binary neutron star merger gw170817 rather than focusing on specific models as has been considered by other authors we explore this in the context of the equation of state approach of which the specific models are special cases after confirming the strong constraints found by others for horndeski einsteinaether and massive gravity models we discuss how it is possible to construct models which might evade the constraints from gw170817 but still leading to cosmologically interesting modifications to gravity possible examples are miracle cancellations such as in fr models nonlocal models and higherorder derivatives the latter two rely on the dimensionless ratio of the wave number of the observed gravitational waves to the hubble expansion rate being very large sim1019 which is used to suppress modifications to the speed of gravitational waves | [['we', 'explore', 'the', 'constraints', 'on', 'dark', 'sector', 'models', 'imposed', 'by', 'the', 'recent', 'observation', 'of', 'coincident', 'gravitational', 'waves', 'and', 'gamma', 'rays', 'from', 'a', 'binary', 'neutron', 'star', 'merger', 'gw170817', 'rather', 'than', 'focusing', 'on', 'specific', 'models', 'as', 'has', 'been', 'considered', 'by', 'other', 'authors', 'we', 'explore', 'this', 'in', 'the', 'context', 'of', 'the', 'equation', 'of', 'state', 'approach', 'of', 'which', 'the', 'specific', 'models', 'are', 'special', 'cases', 'after', 'confirming', 'the', 'strong', 'constraints', 'found', 'by', 'others', 'for', 'horndeski', 'einsteinaether', 'and', 'massive', 'gravity', 'models', 'we', 'discuss', 'how', 'it', 'is', 'possible', 'to', 'construct', 'models', 'which', 'might', 'evade', 'the', 'constraints', 'from', 'gw170817', 'but', 'still', 'leading', 'to', 'cosmologically', 'interesting', 'modifications', 'to', 'gravity', 'possible', 'examples', 'are', 'miracle', 'cancellations', 'such', 'as', 'in', 'fr', 'models', 'nonlocal', 'models', 'and', 'higherorder', 'derivatives', 'the', 'latter', 'two', 'rely', 'on', 'the', 'dimensionless', 'ratio', 'of', 'the', 'wave', 'number', 'of', 'the', 'observed', 'gravitational', 'waves', 'to', 'the', 'hubble', 'expansion', 'rate', 'being', 'very', 'large', 'sim1019', 'which', 'is', 'used', 'to', 'suppress', 'modifications', 'to', 'the', 'speed', 'of', 'gravitational', 'waves']] | [-0.13918513298077279, 0.12202534168423002, -0.06157605300407881, 0.146492519666246, -0.1739284164375729, -0.12335020716125572, 0.0030776650737666714, 0.29922062199900623, -0.21392426649838978, -0.3270506325780469, 0.09739847310812645, -0.27332090499226513, -0.12434763786096881, 0.2109997372806462, -0.0013345734754979027, 0.03260676040515011, 0.03672801319652791, 0.048270441189992665, -0.07322378671846773, -0.25349751589561087, 0.3487210280248238, 0.10521843396979415, 0.18839143816795614, 0.02184010906984993, 0.08516838263988105, -0.06399482580547045, -0.05720059404772055, -0.011336422729940976, -0.16262420806181588, 0.04241326671843934, 0.19096360112272878, 0.15632560008031993, 0.19146826193862734, -0.4541483781927454, -0.30720442804976617, 0.1124337955174079, 0.11560658594362097, 0.14746143772750728, -0.033584273389078, -0.32036372221278914, 0.027499089984975, -0.20624680737386536, -0.11294263274731492, -0.04319471261750152, 0.03328100369110996, 0.026475589539782674, -0.21897402676689787, 0.11190750991341238, 0.02521097188772865, -0.08981220535568747, -0.0591686223846635, -0.07704288425118802, -0.025718333905721022, 0.016884465832750196, 0.16593256649664706, 0.04182173434669286, 0.10345154432762488, -0.20899456797576255, -0.09702523942622873, 0.4221351095505692, -0.09884252390579634, -0.16321142984288242, 0.23323587509286073, -0.157918734655539, -0.17814268978324785, 0.09503563625960203, 0.17089092489514573, 0.13455822907374515, -0.14551145322255643, 0.08702580581359821, 0.021739552427616635, 0.1474580055299014, 0.1123786371785636, 0.050063392876349144, 0.31050361771428703, 0.11847360358494365, 0.011659672677827379, 0.09338830251838659, -0.0833806733036219, -0.0685383479964609, -0.3068686833915611, -0.06496316201420306, -0.12191931943460885, 0.02537388989146041, -0.10370785367397023, -0.1208918157134059, 0.3605858779609739, 0.15372043661792226, 0.14484529941361032, 0.033707075375299655, 0.26355108762391255, 0.1114268561747546, 0.09993668290439482, 0.03667207735627159, 0.36277372557730747, 0.1480534762932365, 0.06843335146169646, -0.2027714347384651, 0.062123142146304544, 0.03292270279200322] |
1,802.09448 | DTER: Schedule Optimal RF Energy Request and Harvest for Internet of
Things | We propose a new energy harvesting strategy that uses a dedicated energy
source (ES) to optimally replenish energy for radio frequency (RF) energy
harvesting powered Internet of Things. Specifically, we develop a two-step dual
tunnel energy requesting (DTER) strategy that minimizes the energy consumption
on both the energy harvesting device and the ES. Besides the causality and
capacity constraints that are investigated in the existing approaches, DTER
also takes into account the overhead issue and the nonlinear charge
characteristics of an energy storage component to make the proposed strategy
practical. Both offline and online scenarios are considered in the second step
of DTER. To solve the nonlinear optimization problem of the offline scenario,
we convert the design of offline optimal energy requesting problem into a
classic shortest path problem and thus a global optimal solution can be
obtained through dynamic programming (DP) algorithms. The online suboptimal
transmission strategy is developed as well. Simulation study verifies that the
online strategy can achieve almost the same energy efficiency as the global
optimal solution in the long term.
| eess.SP | we propose a new energy harvesting strategy that uses a dedicated energy source es to optimally replenish energy for radio frequency rf energy harvesting powered internet of things specifically we develop a twostep dual tunnel energy requesting dter strategy that minimizes the energy consumption on both the energy harvesting device and the es besides the causality and capacity constraints that are investigated in the existing approaches dter also takes into account the overhead issue and the nonlinear charge characteristics of an energy storage component to make the proposed strategy practical both offline and online scenarios are considered in the second step of dter to solve the nonlinear optimization problem of the offline scenario we convert the design of offline optimal energy requesting problem into a classic shortest path problem and thus a global optimal solution can be obtained through dynamic programming dp algorithms the online suboptimal transmission strategy is developed as well simulation study verifies that the online strategy can achieve almost the same energy efficiency as the global optimal solution in the long term | [['we', 'propose', 'a', 'new', 'energy', 'harvesting', 'strategy', 'that', 'uses', 'a', 'dedicated', 'energy', 'source', 'es', 'to', 'optimally', 'replenish', 'energy', 'for', 'radio', 'frequency', 'rf', 'energy', 'harvesting', 'powered', 'internet', 'of', 'things', 'specifically', 'we', 'develop', 'a', 'twostep', 'dual', 'tunnel', 'energy', 'requesting', 'dter', 'strategy', 'that', 'minimizes', 'the', 'energy', 'consumption', 'on', 'both', 'the', 'energy', 'harvesting', 'device', 'and', 'the', 'es', 'besides', 'the', 'causality', 'and', 'capacity', 'constraints', 'that', 'are', 'investigated', 'in', 'the', 'existing', 'approaches', 'dter', 'also', 'takes', 'into', 'account', 'the', 'overhead', 'issue', 'and', 'the', 'nonlinear', 'charge', 'characteristics', 'of', 'an', 'energy', 'storage', 'component', 'to', 'make', 'the', 'proposed', 'strategy', 'practical', 'both', 'offline', 'and', 'online', 'scenarios', 'are', 'considered', 'in', 'the', 'second', 'step', 'of', 'dter', 'to', 'solve', 'the', 'nonlinear', 'optimization', 'problem', 'of', 'the', 'offline', 'scenario', 'we', 'convert', 'the', 'design', 'of', 'offline', 'optimal', 'energy', 'requesting', 'problem', 'into', 'a', 'classic', 'shortest', 'path', 'problem', 'and', 'thus', 'a', 'global', 'optimal', 'solution', 'can', 'be', 'obtained', 'through', 'dynamic', 'programming', 'dp', 'algorithms', 'the', 'online', 'suboptimal', 'transmission', 'strategy', 'is', 'developed', 'as', 'well', 'simulation', 'study', 'verifies', 'that', 'the', 'online', 'strategy', 'can', 'achieve', 'almost', 'the', 'same', 'energy', 'efficiency', 'as', 'the', 'global', 'optimal', 'solution', 'in', 'the', 'long', 'term']] | [-0.15897965694245483, 0.016684900987311267, -0.0740884161687323, 0.08937679617865277, -0.11006459890731743, -0.18979440035298467, 0.10826985157760126, 0.39532732762396333, -0.3190482975861856, -0.33206557663423675, 0.0980641250611682, -0.24004010376121315, -0.12549565670213528, 0.19007380982062647, -0.07092438931709953, 0.0787215383936252, 0.06729267565250796, 0.017418462600825087, 0.003765036790365619, -0.21494249441793986, 0.25854785835104327, 0.14390660578651088, 0.35697518219373053, 0.055610358689446, 0.13262513676658272, 0.02875812575819769, 0.0026266825584960836, 0.005283306640173708, -0.11861843397790965, 0.10157492464142186, 0.3055143893722977, 0.1733668437759791, 0.3184070913679898, -0.4533202881126532, -0.2250775108752506, 0.13749900502285786, 0.13752375718605306, 0.08099288643470832, -0.08312469141092152, -0.19787044350590025, 0.09553038640746049, -0.17701706442848913, -0.053544162216463256, -0.01793783264500754, -0.060498030361320294, 0.02796880854293704, -0.3059321682634098, 0.03571381190841618, 0.0025349446326228126, -0.06467441551919495, -0.13810688277240843, -0.10149569015018642, -0.0027919999097606963, 0.12752069103398495, 0.030954076830031617, -0.02960993230209819, 0.12643056736693584, -0.09163561032818897, -0.13848535871332776, 0.35479719429143836, -0.004828205568982022, -0.17096459919719822, 0.11659804907494357, 0.02684300542942115, -0.08887255605576294, 0.14840949531511535, 0.23585756036319902, 0.1053133022572313, -0.1968477301299572, 0.07686232147438984, 0.022254534752241203, 0.1689203781435, 0.029366859111136623, 0.06875887918685164, 0.14521817288482064, 0.2126405110795583, 0.1654550852732999, 0.1631279832996162, -0.07110467319044152, -0.11340106801795108, -0.2400487312993833, -0.15675765446520276, -0.19165446753863113, 0.019534259007445404, -0.07745266318811836, -0.08546651483380369, 0.3981264474974263, 0.11748240987637214, 0.13798720679112844, 0.06634236661185111, 0.3964962705544063, 0.14278222394175827, 0.03338638318602794, 0.15349269147164055, 0.24135113967582583, -0.006216343623195176, 0.19673295211046934, -0.26460876660970306, 0.03513616016400712, 0.056245821192860604] |
1,802.09449 | Maximal Cocliques in $\operatorname{PSL}_2(q)$ | The generating graph of a finite group is a structure which can be used to
encode certain information about the group. It was introduced by Liebeck and
Shalev and has been further investigated by Lucchini, Mar\'oti, Roney-Dougal
and others. We investigate maximal cocliques (totally disconnected induced
subgraphs of the generating graph) in $\operatorname{PSL}_2(q)$ for $q$ a prime
power and provide a classification of the `large' cocliques when $q$ is prime.
We then provide an interesting geometric example which contradicts this result
when $q$ is not prime and illustrate why the methods used for the prime case do
not immediately extend to the prime-power case with the same result.
| math.GR | the generating graph of a finite group is a structure which can be used to encode certain information about the group it was introduced by liebeck and shalev and has been further investigated by lucchini maroti roneydougal and others we investigate maximal cocliques totally disconnected induced subgraphs of the generating graph in operatornamepsl_2q for q a prime power and provide a classification of the large cocliques when q is prime we then provide an interesting geometric example which contradicts this result when q is not prime and illustrate why the methods used for the prime case do not immediately extend to the primepower case with the same result | [['the', 'generating', 'graph', 'of', 'a', 'finite', 'group', 'is', 'a', 'structure', 'which', 'can', 'be', 'used', 'to', 'encode', 'certain', 'information', 'about', 'the', 'group', 'it', 'was', 'introduced', 'by', 'liebeck', 'and', 'shalev', 'and', 'has', 'been', 'further', 'investigated', 'by', 'lucchini', 'maroti', 'roneydougal', 'and', 'others', 'we', 'investigate', 'maximal', 'cocliques', 'totally', 'disconnected', 'induced', 'subgraphs', 'of', 'the', 'generating', 'graph', 'in', 'operatornamepsl_2q', 'for', 'q', 'a', 'prime', 'power', 'and', 'provide', 'a', 'classification', 'of', 'the', 'large', 'cocliques', 'when', 'q', 'is', 'prime', 'we', 'then', 'provide', 'an', 'interesting', 'geometric', 'example', 'which', 'contradicts', 'this', 'result', 'when', 'q', 'is', 'not', 'prime', 'and', 'illustrate', 'why', 'the', 'methods', 'used', 'for', 'the', 'prime', 'case', 'do', 'not', 'immediately', 'extend', 'to', 'the', 'primepower', 'case', 'with', 'the', 'same', 'result']] | [-0.1294716380223214, 0.11281841031232714, -0.11739573457112937, 0.09336385841342125, -0.11926971576133064, -0.1436141093270244, 0.010896701357005356, 0.3364596241893612, -0.2602288768339519, -0.2718624788832581, 0.10965790782802712, -0.2481674699756865, -0.16052373322858432, 0.20754197153815496, -0.11841641573635774, 0.0010523986915631273, 0.02394239167099662, 0.11537785945671271, 0.0008621035387443605, -0.30254419585831344, 0.33887282435164273, 0.013077502051873184, 0.21885104762895086, 0.0904021286068345, 0.05774293007398738, 0.04511542912468175, -0.022053829826214396, 0.05686848742504404, -0.15066563630494, 0.1069875437859881, 0.27593702507840695, 0.12845990048486425, 0.24739565420678217, -0.3616823905156316, -0.1791848547595649, 0.200057477429161, 0.1457522868996956, 0.06822319274602859, -0.04344518622818673, -0.2339696989603619, 0.17744457620744394, -0.19049920188698255, -0.11398897848797039, -0.11003033965434357, 0.05023353802753943, 0.011751559210471182, -0.2836412199338785, -0.016012008240986093, 0.1472172106607495, 0.0784066186469292, 0.012792070309205032, -0.12466906540304701, 0.013879171115668299, 0.14053553320025747, 0.009664637393483493, 0.04151555184583902, 0.02565506127636845, -0.0917211874610109, -0.12867812431530556, 0.38498551093877476, -0.012269385759588157, -0.17089470071178453, 0.11989546587220698, -0.16186949017971197, -0.1492890184658153, 0.09792055042403985, 0.10417608686104834, 0.126175637861766, -0.08033525785534625, 0.11926703283587192, -0.11288640084981083, 0.12407823669436936, 0.09057378828978148, -0.026273158916367965, 0.13092083613623248, 0.09423706061250278, 0.06873567309012968, 0.15996599415748022, -0.0125714245635285, 0.026911115025770718, -0.28489010725562053, -0.15037787825774365, -0.1957224026304957, 0.08789956634760852, -0.07792824206405394, -0.12011649681986353, 0.38664029119101084, 0.09433081978496825, 0.19060553526766946, 0.04101754804783736, 0.24356665369993616, 0.08906721577013486, 0.08109553924230771, 0.10078028050277417, 0.15074105529445353, 0.17264623228443143, -0.0220205760865568, -0.15230306959493417, 0.04630055615382495, 0.0920986987206493] |
1,802.0945 | Objective Bayesian analysis of neutrino masses and hierarchy | Given the precision of current neutrino data, priors still impact noticeably
the constraints on neutrino masses and their hierarchy. To avoid our
understanding of neutrinos being driven by prior assumptions, we construct a
prior that is mathematically minimally informative. Using the constructed
uninformative prior, we find that the normal hierarchy is favoured but with
inconclusive posterior odds of 5.1:1. Better data is hence needed before the
neutrino masses and their hierarchy can be well constrained. We find that the
next decade of cosmological data should provide conclusive evidence if the
normal hierarchy with negligible minimum mass is correct, and if the
uncertainty in the sum of neutrino masses drops below 0.025 eV. On the other
hand, if neutrinos obey the inverted hierarchy, achieving strong evidence will
be difficult with the same uncertainties. Our uninformative prior was
constructed from principles of the Objective Bayesian approach. The prior is
called a reference prior and is minimally informative in the specific sense
that the information gain after collection of data is maximised. The prior is
computed for the combination of neutrino oscillation data and cosmological data
and still applies if the data improve.
| astro-ph.CO hep-ex physics.acc-ph physics.data-an | given the precision of current neutrino data priors still impact noticeably the constraints on neutrino masses and their hierarchy to avoid our understanding of neutrinos being driven by prior assumptions we construct a prior that is mathematically minimally informative using the constructed uninformative prior we find that the normal hierarchy is favoured but with inconclusive posterior odds of 511 better data is hence needed before the neutrino masses and their hierarchy can be well constrained we find that the next decade of cosmological data should provide conclusive evidence if the normal hierarchy with negligible minimum mass is correct and if the uncertainty in the sum of neutrino masses drops below 0025 ev on the other hand if neutrinos obey the inverted hierarchy achieving strong evidence will be difficult with the same uncertainties our uninformative prior was constructed from principles of the objective bayesian approach the prior is called a reference prior and is minimally informative in the specific sense that the information gain after collection of data is maximised the prior is computed for the combination of neutrino oscillation data and cosmological data and still applies if the data improve | [['given', 'the', 'precision', 'of', 'current', 'neutrino', 'data', 'priors', 'still', 'impact', 'noticeably', 'the', 'constraints', 'on', 'neutrino', 'masses', 'and', 'their', 'hierarchy', 'to', 'avoid', 'our', 'understanding', 'of', 'neutrinos', 'being', 'driven', 'by', 'prior', 'assumptions', 'we', 'construct', 'a', 'prior', 'that', 'is', 'mathematically', 'minimally', 'informative', 'using', 'the', 'constructed', 'uninformative', 'prior', 'we', 'find', 'that', 'the', 'normal', 'hierarchy', 'is', 'favoured', 'but', 'with', 'inconclusive', 'posterior', 'odds', 'of', '511', 'better', 'data', 'is', 'hence', 'needed', 'before', 'the', 'neutrino', 'masses', 'and', 'their', 'hierarchy', 'can', 'be', 'well', 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1,802.09451 | Is the spiral morphology of the Elias 2-27 circumstellar disc due to
gravitational instability? | A recent ALMA observation of the Elias 2-27 system revealed a two-armed
structure extending out to ~300 au in radius. The protostellar disc surrounding
the central star is unusually massive, raising the possibility that the system
is gravitationally unstable. Recent work has shown that the observed morphology
of the system can be explained by disc self-gravity, so we examine the physical
properties of the disc necessary to detect self-gravitating spiral waves. Using
three-dimensional Smoothed Particle Hydrodynamics, coupled with radiative
transfer and synthetic ALMA imaging, we find that observable spiral structure
can only be explained by self-gravity if the disc has a low opacity (and
therefore efficient cooling), and is minimally supported by external
irradiation. This corresponds to a very narrow region of parameter space,
suggesting that, although it is possible for the spiral structure to be due to
disc self-gravity, other explanations, such as an external perturbation, may be
preferred.
| astro-ph.EP | a recent alma observation of the elias 227 system revealed a twoarmed structure extending out to 300 au in radius the protostellar disc surrounding the central star is unusually massive raising the possibility that the system is gravitationally unstable recent work has shown that the observed morphology of the system can be explained by disc selfgravity so we examine the physical properties of the disc necessary to detect selfgravitating spiral waves using threedimensional smoothed particle hydrodynamics coupled with radiative transfer and synthetic alma imaging we find that observable spiral structure can only be explained by selfgravity if the disc has a low opacity and therefore efficient cooling and is minimally supported by external irradiation this corresponds to a very narrow region of parameter space suggesting that although it is possible for the spiral structure to be due to disc selfgravity other explanations such as an external perturbation may be preferred | [['a', 'recent', 'alma', 'observation', 'of', 'the', 'elias', '227', 'system', 'revealed', 'a', 'twoarmed', 'structure', 'extending', 'out', 'to', '300', 'au', 'in', 'radius', 'the', 'protostellar', 'disc', 'surrounding', 'the', 'central', 'star', 'is', 'unusually', 'massive', 'raising', 'the', 'possibility', 'that', 'the', 'system', 'is', 'gravitationally', 'unstable', 'recent', 'work', 'has', 'shown', 'that', 'the', 'observed', 'morphology', 'of', 'the', 'system', 'can', 'be', 'explained', 'by', 'disc', 'selfgravity', 'so', 'we', 'examine', 'the', 'physical', 'properties', 'of', 'the', 'disc', 'necessary', 'to', 'detect', 'selfgravitating', 'spiral', 'waves', 'using', 'threedimensional', 'smoothed', 'particle', 'hydrodynamics', 'coupled', 'with', 'radiative', 'transfer', 'and', 'synthetic', 'alma', 'imaging', 'we', 'find', 'that', 'observable', 'spiral', 'structure', 'can', 'only', 'be', 'explained', 'by', 'selfgravity', 'if', 'the', 'disc', 'has', 'a', 'low', 'opacity', 'and', 'therefore', 'efficient', 'cooling', 'and', 'is', 'minimally', 'supported', 'by', 'external', 'irradiation', 'this', 'corresponds', 'to', 'a', 'very', 'narrow', 'region', 'of', 'parameter', 'space', 'suggesting', 'that', 'although', 'it', 'is', 'possible', 'for', 'the', 'spiral', 'structure', 'to', 'be', 'due', 'to', 'disc', 'selfgravity', 'other', 'explanations', 'such', 'as', 'an', 'external', 'perturbation', 'may', 'be', 'preferred']] | [-0.11587941865688967, 0.12196880330108494, -0.08460562484183659, 0.07526936367697393, -0.10807167845622946, -0.08606084608783325, -0.03359189927888413, 0.40059743229920663, -0.2580397762078792, -0.3359679179886977, 0.09391586284696435, -0.2006209081100921, -0.09805800903898974, 0.1578190896885159, -0.0033858571684686465, -0.011685906052589417, 0.050276582750181355, -0.08613119781172524, -0.014977235925616696, -0.21240990832758447, 0.3197472623976258, 0.13753276724368335, 0.12457188993071516, 0.0016862449205170076, 0.02014225290467342, -0.10184856339823455, -0.029681468714649478, 0.031755295187661736, -0.14475280117650982, 0.015937420484454682, 0.19982582337378213, 0.08624332384439186, 0.24752073575587322, -0.42012390587478876, -0.27048798243825634, 0.031167902539794644, 0.20574410467098156, 0.08397838256942729, -0.0646587423493232, -0.2548992182811101, 0.10148354611049096, -0.2045927444170229, -0.1893963634315878, -0.028230940684055288, 0.07185864282151064, -0.03399476920409749, -0.2648907672082229, 0.09472999413730576, 0.08242937528528273, 0.04199605790898204, -0.10089387264413138, -0.02918184584705159, -0.09694121188794573, 0.03473902040394023, 0.021142821214937914, 0.10905638198678692, 0.23174423260924717, -0.13796006129316082, -0.040120724242491024, 0.3939854766149074, -0.06575132189391297, -0.11480835951399058, 0.2528320998015503, -0.2159209330100566, -0.10223626727238297, 0.16829974935079614, 0.124994647949934, 0.11339615248298894, -0.09340756235760636, 0.05115733840250565, -0.08009683161585902, 0.22708384470703702, 0.06899236458664139, 0.007216370728177329, 0.3618941066910823, 0.15349408740041934, 0.0257289659542342, 0.15734583075817984, -0.15094488974350195, -0.09633826132592124, -0.21227982925251127, -0.10605757689918391, -0.1496396901210149, 0.0821839185897261, -0.06278775845004324, -0.11904897351497008, 0.30801917985935384, 0.12918659229840462, 0.21271743134905893, -0.044805650472796214, 0.3126336175467198, 0.09242658182280138, 0.12528046830867728, 0.1158918075376035, 0.32595578223156435, 0.16219868042040617, 0.0648356584723418, -0.2670552499374996, 0.07260603554857274, -0.034874747612824046] |
1,802.09452 | Exponents for the Equidistribution of Shears and Applications | In previous work, the authors introduced "soft" methods to prove the
effective (i.e. with power savings error) equidistribution of "shears" in
cusped hyperbolic surfaces. In this paper, we study the same problem but now
allow full use of the spectral theory of automorphic forms to produce explicit
exponents, and uniformity in parameters. We give applications to counting
square values of quadratic forms.
| math.NT | in previous work the authors introduced soft methods to prove the effective ie with power savings error equidistribution of shears in cusped hyperbolic surfaces in this paper we study the same problem but now allow full use of the spectral theory of automorphic forms to produce explicit exponents and uniformity in parameters we give applications to counting square values of quadratic forms | [['in', 'previous', 'work', 'the', 'authors', 'introduced', 'soft', 'methods', 'to', 'prove', 'the', 'effective', 'ie', 'with', 'power', 'savings', 'error', 'equidistribution', 'of', 'shears', 'in', 'cusped', 'hyperbolic', 'surfaces', 'in', 'this', 'paper', 'we', 'study', 'the', 'same', 'problem', 'but', 'now', 'allow', 'full', 'use', 'of', 'the', 'spectral', 'theory', 'of', 'automorphic', 'forms', 'to', 'produce', 'explicit', 'exponents', 'and', 'uniformity', 'in', 'parameters', 'we', 'give', 'applications', 'to', 'counting', 'square', 'values', 'of', 'quadratic', 'forms']] | [-0.13640356888889424, 0.05224329722864974, -0.11268503773176382, 0.08812215899290037, -0.09384047858897716, -0.08511337550777581, 0.024843940684091178, 0.33279973225885884, -0.25069864210672677, -0.3082380121453635, 0.0711203133236737, -0.2413242571731849, -0.18694236550119617, 0.2375868216998154, -0.13547402558540325, 0.11180574510592944, 0.02208439925415141, 0.030452318876350838, -0.12850835968199517, -0.31814815416451425, 0.31768891855984205, 0.04490862061239539, 0.23879296825297416, 0.06644325178011411, 0.07746434783668167, 0.013215624261647463, -0.04294016808571835, -0.01183902654766796, -0.21956691240531304, 0.20933560341138452, 0.3018219985909039, 0.028131789509056798, 0.2365523605990494, -0.41673177929835453, -0.2078622288386067, 0.15205461812776425, 0.1359909773248458, 0.0686655042602891, -0.024895743282902384, -0.1918171534555093, 0.08478140204040814, -0.1616864278537011, -0.19887944385259143, -0.0951478908123869, -0.0029379440388912635, 0.06312316373336099, -0.25260833792027926, 0.08926797892303101, 0.08787886897522595, 0.11583309251094057, -0.0749292482974969, -0.11079428413312041, 0.06913603790434858, 0.13500845396981365, 0.09605587831127547, -0.026907128646158643, 0.05972053673899462, -0.11462171047159861, -0.12330801641914033, 0.3348429533502748, -0.05804478757519035, -0.2247880495363666, 0.12214843626885165, -0.1552966631002604, -0.16647602484050777, 0.13863795224742423, 0.20211317294066952, 0.10335551263884671, -0.06730603823258031, 0.14679247295510234, -0.03623679042944024, 0.15013486930289335, 0.14265141467894277, 0.018703629112532063, 0.11256007988366389, 0.06338797320401476, 0.11316841001051568, 0.1551339421721716, -0.0215755729605594, -0.0754472556854448, -0.2913975807717971, -0.15760605433775532, -0.12169088167138398, 0.06803823108296661, -0.06343303505878618, -0.21356771971970315, 0.4129675649436972, 0.137549047944166, 0.19856707346174987, 0.1380686984667855, 0.2752609422558077, 0.12779369321370107, 0.07305838080543664, 0.07158962656713781, 0.20638021658505162, 0.1490777771799795, 0.05695116763273554, -0.13593723442435504, -0.04625155905922575, 0.1448606642624063] |
1,802.09453 | Baryon Budget of the Hot Circumgalactic Medium of Massive Spiral
Galaxies | The baryon content around local galaxies is observed to be much less than is
needed in Big Bang nucleosynthesis. Simulations indicate that a significant
fraction of these "missing baryons" may be stored in a hot tenuous
circum-galactic medium (CGM) around massive galaxies extending to or even
beyond the virial radius of their dark matter halos. Previous observations in
X-ray and Sunyaev-Zel'dovich (SZ) signal claimed that $\sim(1-50)\%$ of the
expected baryons are stored in a hot CGM within the virial radius. The large
scatter is mainly caused by the very uncertain extrapolation of the hot gas
density profile based on the detection in a small radial range (typically
within 10\%-20\% of the virial radius). Here we report stacking X-ray
observations of six local isolated massive spiral galaxies from the CGM-MASS
sample. We find that the mean density profile can be characterized by a single
power law out to a galactocentric radius of $\approx 200\rm~kpc$ (or
$\approx130\rm~kpc$ above the 1~$\sigma$ background uncertainty), about half
the virial radius of the dark matter halo. We can now estimate that the hot CGM
within the virial radius accounts for $(8\pm4)\%$ of the baryonic mass expected
for the halos. Including the stars, the baryon fraction is $(27\pm16)\%$, or
$(39\pm20)\%$ by assuming a flattened density profile at $r\gtrsim130\rm~kpc$.
We conclude that the hot baryons within the virial radius of massive galaxy
halos are insufficient to explain the "missing baryons".
| astro-ph.GA astro-ph.CO astro-ph.HE | the baryon content around local galaxies is observed to be much less than is needed in big bang nucleosynthesis simulations indicate that a significant fraction of these missing baryons may be stored in a hot tenuous circumgalactic medium cgm around massive galaxies extending to or even beyond the virial radius of their dark matter halos previous observations in xray and sunyaevzeldovich sz signal claimed that sim150 of the expected baryons are stored in a hot cgm within the virial radius the large scatter is mainly caused by the very uncertain extrapolation of the hot gas density profile based on the detection in a small radial range typically within 1020 of the virial radius here we report stacking xray observations of six local isolated massive spiral galaxies from the cgmmass sample we find that the mean density profile can be characterized by a single power law out to a galactocentric radius of approx 200rmkpc or approx130rmkpc above the 1sigma background uncertainty about half the virial radius of the dark matter halo we can now estimate that the hot cgm within the virial radius accounts for 8pm4 of the baryonic mass expected for the halos including the stars the baryon fraction is 27pm16 or 39pm20 by assuming a flattened density profile at rgtrsim130rmkpc we conclude that the hot baryons within the virial radius of massive galaxy halos are insufficient to explain the missing baryons | [['the', 'baryon', 'content', 'around', 'local', 'galaxies', 'is', 'observed', 'to', 'be', 'much', 'less', 'than', 'is', 'needed', 'in', 'big', 'bang', 'nucleosynthesis', 'simulations', 'indicate', 'that', 'a', 'significant', 'fraction', 'of', 'these', 'missing', 'baryons', 'may', 'be', 'stored', 'in', 'a', 'hot', 'tenuous', 'circumgalactic', 'medium', 'cgm', 'around', 'massive', 'galaxies', 'extending', 'to', 'or', 'even', 'beyond', 'the', 'virial', 'radius', 'of', 'their', 'dark', 'matter', 'halos', 'previous', 'observations', 'in', 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1,802.09454 | A new X-ray look into four old pulsars | We report on the X-ray properties of four rotation-powered pulsars with
characteristic ages in the range 0.3-5 Myr, derived from the analysis of
XMM-Newton archival observations. We found convincing evidence of thermal
emission only in the phase-averaged spectrum of PSR B0114+58, that is well
fitted by a blackbody with temperature kT = $0.17 \pm 0.02$ keV and emitting
radius R = $405_{-90}^{+110}$ m, consistent with the size of its polar cap. The
other three considered pulsars, PSR B0628-28, PSR B0919+06 and PSR B1133+16,
have phase-averaged spectra well described by single power-laws with photon
index {\Gamma} ~ 3. The 3{\sigma} upper limits on the bolometric luminosity of
a possible thermal component with temperature in the range ~ 0.05-2 keV are
L_bol $\leq 3.2 \times 10^{28}$ erg/s and L_bol $\leq 2.4 \times 10^{29}$
erg/s, for PSR B0628-28 and PSR B0919+06, respectively. On the other hand, we
found possible evidence that the pulsed emission of PSR B0628-28 is thermal.
Two absorption lines at ~0.22 keV and ~0.44 keV are detected in the spectrum of
PSR B1133+16. They are best interpreted as proton cyclotron features, implying
the presence of multipolar components with a field of a few $10^{13}$ G at the
neutron star polar caps. We discuss our results in the context of high-energy
emission models of old rotation-powered pulsars.
| astro-ph.HE | we report on the xray properties of four rotationpowered pulsars with characteristic ages in the range 035 myr derived from the analysis of xmmnewton archival observations we found convincing evidence of thermal emission only in the phaseaveraged spectrum of psr b011458 that is well fitted by a blackbody with temperature kt 017 pm 002 kev and emitting radius r 405_90110 m consistent with the size of its polar cap the other three considered pulsars psr b062828 psr b091906 and psr b113316 have phaseaveraged spectra well described by single powerlaws with photon index gamma 3 the 3sigma upper limits on the bolometric luminosity of a possible thermal component with temperature in the range 0052 kev are l_bol leq 32 times 1028 ergs and l_bol leq 24 times 1029 ergs for psr b062828 and psr b091906 respectively on the other hand we found possible evidence that the pulsed emission of psr b062828 is thermal two absorption lines at 022 kev and 044 kev are detected in the spectrum of psr b113316 they are best interpreted as proton cyclotron features implying the presence of multipolar components with a field of a few 1013 g at the neutron star polar caps we discuss our results in the context of highenergy emission models of old rotationpowered pulsars | [['we', 'report', 'on', 'the', 'xray', 'properties', 'of', 'four', 'rotationpowered', 'pulsars', 'with', 'characteristic', 'ages', 'in', 'the', 'range', '035', 'myr', 'derived', 'from', 'the', 'analysis', 'of', 'xmmnewton', 'archival', 'observations', 'we', 'found', 'convincing', 'evidence', 'of', 'thermal', 'emission', 'only', 'in', 'the', 'phaseaveraged', 'spectrum', 'of', 'psr', 'b011458', 'that', 'is', 'well', 'fitted', 'by', 'a', 'blackbody', 'with', 'temperature', 'kt', '017', 'pm', '002', 'kev', 'and', 'emitting', 'radius', 'r', '405_90110', 'm', 'consistent', 'with', 'the', 'size', 'of', 'its', 'polar', 'cap', 'the', 'other', 'three', 'considered', 'pulsars', 'psr', 'b062828', 'psr', 'b091906', 'and', 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1,802.09455 | Assessing the association between pre-course metrics of student
preparation and student performance in introductory statistics: Results from
early data on simulation-based inference vs. nonsimulation based inference | The recent simulation-based inference (SBI) movement in algebra-based
introductory statistics courses (Stat 101) has provided preliminary evidence of
improved student conceptual understanding and retention. However, little is
known about whether these positive effects are preferentially distributed
across types of students entering the course. We consider how two metrics of
Stat 101 student preparation (pre-course performance on concept inventory and
math ACT score) may or may not be associated with end of course student
performance on conceptual inventories. Students across all preparation levels
tended to show improvement in Stat 101, but more improvement was observed
across all student preparation levels in early versions of a SBI course.
Furthermore, students' gains tended to be similar regardless of whether
students entered the course with more preparation or less. Recent data on a
sample of students using a current version of an SBI course showed similar
results, though direct comparison with non-SBI students was not possible.
Overall, our analysis provides additional evidence that SBI curricula are
effective at improving students' conceptual understanding of statistical ideas
post-course regardless student preparation. Further work is needed to better
understand nuances of student improvement based on other student demographics,
prior coursework, as well as instructor and institutional variables.
| stat.OT | the recent simulationbased inference sbi movement in algebrabased introductory statistics courses stat 101 has provided preliminary evidence of improved student conceptual understanding and retention however little is known about whether these positive effects are preferentially distributed across types of students entering the course we consider how two metrics of stat 101 student preparation precourse performance on concept inventory and math act score may or may not be associated with end of course student performance on conceptual inventories students across all preparation levels tended to show improvement in stat 101 but more improvement was observed across all student preparation levels in early versions of a sbi course furthermore students gains tended to be similar regardless of whether students entered the course with more preparation or less recent data on a sample of students using a current version of an sbi course showed similar results though direct comparison with nonsbi students was not possible overall our analysis provides additional evidence that sbi curricula are effective at improving students conceptual understanding of statistical ideas postcourse regardless student preparation further work is needed to better understand nuances of student improvement based on other student demographics prior coursework as well as instructor and institutional variables | [['the', 'recent', 'simulationbased', 'inference', 'sbi', 'movement', 'in', 'algebrabased', 'introductory', 'statistics', 'courses', 'stat', '101', 'has', 'provided', 'preliminary', 'evidence', 'of', 'improved', 'student', 'conceptual', 'understanding', 'and', 'retention', 'however', 'little', 'is', 'known', 'about', 'whether', 'these', 'positive', 'effects', 'are', 'preferentially', 'distributed', 'across', 'types', 'of', 'students', 'entering', 'the', 'course', 'we', 'consider', 'how', 'two', 'metrics', 'of', 'stat', '101', 'student', 'preparation', 'precourse', 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1,802.09456 | Bad metallic transport in a cold atom Fermi-Hubbard system | Charge transport is a revealing probe of the quantum properties of materials.
Strong interactions can blur charge carriers resulting in a poorly understood
"quantum soup". Here we study the conductivity of the Fermi-Hubbard model, a
testing ground for strong interaction physics, in a clean quantum system -
ultracold $^6$Li in a 2D optical lattice. We determine the charge diffusion
constant in our system by measuring the relaxation of an imposed density
modulation and modeling its decay hydrodynamically. The diffusion constant is
converted to a resistivity, which exhibits a linear temperature dependence and
exceeds the Mott-Ioffe-Regel limit, two characteristic signatures of a bad
metal. The techniques we develop here may be applied to measurements of other
transport quantities, including the optical conductivity and thermopower.
| cond-mat.quant-gas | charge transport is a revealing probe of the quantum properties of materials strong interactions can blur charge carriers resulting in a poorly understood quantum soup here we study the conductivity of the fermihubbard model a testing ground for strong interaction physics in a clean quantum system ultracold 6li in a 2d optical lattice we determine the charge diffusion constant in our system by measuring the relaxation of an imposed density modulation and modeling its decay hydrodynamically the diffusion constant is converted to a resistivity which exhibits a linear temperature dependence and exceeds the mottiofferegel limit two characteristic signatures of a bad metal the techniques we develop here may be applied to measurements of other transport quantities including the optical conductivity and thermopower | [['charge', 'transport', 'is', 'a', 'revealing', 'probe', 'of', 'the', 'quantum', 'properties', 'of', 'materials', 'strong', 'interactions', 'can', 'blur', 'charge', 'carriers', 'resulting', 'in', 'a', 'poorly', 'understood', 'quantum', 'soup', 'here', 'we', 'study', 'the', 'conductivity', 'of', 'the', 'fermihubbard', 'model', 'a', 'testing', 'ground', 'for', 'strong', 'interaction', 'physics', 'in', 'a', 'clean', 'quantum', 'system', 'ultracold', '6li', 'in', 'a', '2d', 'optical', 'lattice', 'we', 'determine', 'the', 'charge', 'diffusion', 'constant', 'in', 'our', 'system', 'by', 'measuring', 'the', 'relaxation', 'of', 'an', 'imposed', 'density', 'modulation', 'and', 'modeling', 'its', 'decay', 'hydrodynamically', 'the', 'diffusion', 'constant', 'is', 'converted', 'to', 'a', 'resistivity', 'which', 'exhibits', 'a', 'linear', 'temperature', 'dependence', 'and', 'exceeds', 'the', 'mottiofferegel', 'limit', 'two', 'characteristic', 'signatures', 'of', 'a', 'bad', 'metal', 'the', 'techniques', 'we', 'develop', 'here', 'may', 'be', 'applied', 'to', 'measurements', 'of', 'other', 'transport', 'quantities', 'including', 'the', 'optical', 'conductivity', 'and', 'thermopower']] | [-0.16357519918075594, 0.2068179784559494, -0.08764926640967624, 0.03638478580549298, -0.00515878818868125, -0.16790824233493234, 0.06326407834040154, 0.3324800734942565, -0.31584037729676384, -0.2493993030235049, 0.04772831105100388, -0.31138384329979535, -0.10290954063730468, 0.19915325032999417, 0.031209449066215606, 0.050234908012379356, -0.009892899695722783, -0.02565358556639098, -0.09066002747639403, -0.1821602365721521, 0.24208543679894512, 0.04603564448093568, 0.29644172772818594, 0.11982602640971175, 0.07222763473000073, -0.0063608051354035, 0.05871134739322397, 0.06918242552363482, -0.15540532338753588, 0.06033262653948098, 0.20767824365576104, -0.05427538139600551, 0.1964030836510365, -0.42918704150122455, -0.25827206123895086, 0.06139465454263521, 0.12857229220604555, 0.17902216703543194, -0.08118071899077565, -0.24360351093479846, -0.01870331602919175, -0.14431988304770996, -0.1210379166496139, -0.11021107076819925, 0.0038077151288324206, -0.0026531401572207017, -0.2710318103982288, 0.12224834465391202, 0.05002532522270425, 0.08208856022473975, -0.08599883494383397, -0.08166836611888387, 0.007816710259353161, 0.10570880927366862, 0.005665230292819257, -0.0034233389143664083, 0.20782651716354686, -0.1955957238669278, -0.09426780561840192, 0.39193451329760376, -0.1315036612204047, -0.15244952487744023, 0.20700667996234337, -0.1866950573987465, -0.061037842182396745, 0.13003547540407812, 0.15447070029350457, 0.09545548288075284, -0.18148639509607045, 0.09921125990012279, -0.033135003449402935, 0.18586659821067159, -0.009923192243030692, 0.09389049955643713, 0.2601641761215373, 0.2092837477350974, 0.013581654545469363, 0.1294183439997857, -0.14082712974574904, -0.0572724264596024, -0.24417236269562367, -0.17940385244618795, -0.2357603113060115, 0.12037297914789409, -0.06770277962236013, -0.2019091565543633, 0.40921501450423825, 0.16309172129850133, 0.20375825547933824, -0.051486403004793055, 0.27746725413704015, 0.15952612651649434, 0.043178976780628084, 0.04922828836591731, 0.2611823474986433, 0.19260626070804465, 0.11171755929798131, -0.32032123246882876, 0.08134811276178254, 0.03040491702172478] |
1,802.09457 | Weakly stable torsion classes | Weakly stable torsion classes were introduced by the author and Yekutieli to
provide a torsion theoretic characterisation of the notion of weak
proregularity from commutative algebra. In this paper we investigate weakly
stable torsion classes, with a focus on aspects related to localisation and
completion. We characterise when torsion classes arising from left denominator
sets and idempotent ideals are weakly stable. We show that every weakly stable
torsion class $\operatorname{\mathsf{T}}$ can be associated with a dg ring
$A_{\operatorname{\mathsf{T}}}$; in well behaved situations there is a
homological epimorphism $A\to A_{\operatorname{\mathsf{T}}}$. We end by
studying torsion and completion with respect to a single regular and normal
element.
| math.RA math.KT | weakly stable torsion classes were introduced by the author and yekutieli to provide a torsion theoretic characterisation of the notion of weak proregularity from commutative algebra in this paper we investigate weakly stable torsion classes with a focus on aspects related to localisation and completion we characterise when torsion classes arising from left denominator sets and idempotent ideals are weakly stable we show that every weakly stable torsion class operatornamemathsft can be associated with a dg ring a_operatornamemathsft in well behaved situations there is a homological epimorphism ato a_operatornamemathsft we end by studying torsion and completion with respect to a single regular and normal element | [['weakly', 'stable', 'torsion', 'classes', 'were', 'introduced', 'by', 'the', 'author', 'and', 'yekutieli', 'to', 'provide', 'a', 'torsion', 'theoretic', 'characterisation', 'of', 'the', 'notion', 'of', 'weak', 'proregularity', 'from', 'commutative', 'algebra', 'in', 'this', 'paper', 'we', 'investigate', 'weakly', 'stable', 'torsion', 'classes', 'with', 'a', 'focus', 'on', 'aspects', 'related', 'to', 'localisation', 'and', 'completion', 'we', 'characterise', 'when', 'torsion', 'classes', 'arising', 'from', 'left', 'denominator', 'sets', 'and', 'idempotent', 'ideals', 'are', 'weakly', 'stable', 'we', 'show', 'that', 'every', 'weakly', 'stable', 'torsion', 'class', 'operatornamemathsft', 'can', 'be', 'associated', 'with', 'a', 'dg', 'ring', 'a_operatornamemathsft', 'in', 'well', 'behaved', 'situations', 'there', 'is', 'a', 'homological', 'epimorphism', 'ato', 'a_operatornamemathsft', 'we', 'end', 'by', 'studying', 'torsion', 'and', 'completion', 'with', 'respect', 'to', 'a', 'single', 'regular', 'and', 'normal', 'element']] | [-0.16675829114027174, 0.12821275361028373, -0.05164581374721784, 0.0712414553660589, -0.10520000218906823, -0.1903314851087463, -0.06472613421318979, 0.3757036478970857, -0.38534780587160994, -0.17761357756178625, 0.09754332127140872, -0.24074610381149777, -0.14268139218363693, 0.18163012058528907, -0.1659812158950623, -0.04990082041944797, 0.06892802705531757, 0.1250767694474038, -0.0830654202368083, -0.2307514503744303, 0.41973479437258315, -0.004734037672260813, 0.2183377380373285, 0.002538971036818682, 0.08257350613198736, -0.008409731080938204, -0.052134172995483466, 0.0929501566433293, -0.18678343929979532, 0.11859571376778916, 0.29943584196050377, 0.04079704439979704, 0.204764149231992, -0.3392125519535244, -0.10699280121308916, 0.19448967031020598, 0.05168018511076476, 0.02198354846925712, -0.04614367338888092, -0.28745874640184876, 0.18439227288734972, -0.2106838934123516, -0.12080508348641589, -0.1040658077416832, 0.045055254563397054, 0.014621143503224148, -0.2563829074645707, -0.002153503694845473, 0.09453443531061102, 0.10334446998860906, -0.05643178354127004, -0.02872993190334562, -0.018594768021584433, 0.06028655596795337, 0.022590166412056516, -0.023971506686625527, 0.08170976212240216, -0.11451441909451329, -0.10399798531651351, 0.36936417815512884, -0.08397338208377216, -0.2195497334606069, 0.22523544437489382, -0.15383370684039796, -0.16710713536104224, 0.11070150916702022, 0.05073155106647926, 0.18853982935623065, -0.04463578716640055, 0.20843269209110396, -0.1090615172779151, 0.09577321784808208, 0.11560269143414117, 0.026651136504084457, 0.18650635183953188, 0.09926995962136882, 0.08573799473992504, 0.17376675536883446, 0.029608081260983667, -0.026686041465248254, -0.34461394708384485, -0.16194712925090582, -0.0635954200614851, 0.12543840938266002, -0.0208346483190076, -0.20387771120294929, 0.40395458818267227, 0.062283139041278, 0.18389543013501108, 0.09735760251607965, 0.21963783884284033, 0.045886067853893577, 0.023024468207914456, 0.05762421169920879, 0.156845577741407, 0.22943269293161803, -0.03672590076138137, -0.13495292307297682, -0.011340243997527104, 0.20003987269877804] |
1,802.09458 | Multi-wavelength mock observations of the WHIM in a simulated galaxy
cluster | About half of the expected total baryon budget in the local Universe is
`missing'. Hydrodynamical simulations suggest that most of the missing baryons
are located in a mildly overdense, warm-hot intergalactic medium (WHIM), which
is difficult to be detected at most wavelengths. In this paper we explore
multi-wavelength synthetic observations of a massive galaxy cluster developed
in a full Eulerian-AMR cosmological simulation. A novel numerical procedure is
applied on the outputs of the simulation, which are post-processed with a
full-radiative transfer code that allows to compute the change of the intensity
at any frequency along the null-geodesic of photons. We compare the emission
from the whole inter-galactic medium (IGM) and from the WHIM component (defined
as the gas with a temperature in the range $10^5-10^7$ K) at three
observational bands associated to thermal X-rays, thermal and kinematic
Sunyaev-Zel'dovich effect, and radio emission. The synthetic maps produced by
this procedure could be directly compared with existing observational maps and
could be used as a guide for future observations with forthcoming instruments.
The analysis of the different emissions associated to a high-resolution galaxy
cluster is in broad agreement with previous simulated and observational
estimates of both gas components.
| astro-ph.CO | about half of the expected total baryon budget in the local universe is missing hydrodynamical simulations suggest that most of the missing baryons are located in a mildly overdense warmhot intergalactic medium whim which is difficult to be detected at most wavelengths in this paper we explore multiwavelength synthetic observations of a massive galaxy cluster developed in a full eulerianamr cosmological simulation a novel numerical procedure is applied on the outputs of the simulation which are postprocessed with a fullradiative transfer code that allows to compute the change of the intensity at any frequency along the nullgeodesic of photons we compare the emission from the whole intergalactic medium igm and from the whim component defined as the gas with a temperature in the range 105107 k at three observational bands associated to thermal xrays thermal and kinematic sunyaevzeldovich effect and radio emission the synthetic maps produced by this procedure could be directly compared with existing observational maps and could be used as a guide for future observations with forthcoming instruments the analysis of the different emissions associated to a highresolution galaxy cluster is in broad agreement with previous simulated and observational estimates of both gas components | [['about', 'half', 'of', 'the', 'expected', 'total', 'baryon', 'budget', 'in', 'the', 'local', 'universe', 'is', 'missing', 'hydrodynamical', 'simulations', 'suggest', 'that', 'most', 'of', 'the', 'missing', 'baryons', 'are', 'located', 'in', 'a', 'mildly', 'overdense', 'warmhot', 'intergalactic', 'medium', 'whim', 'which', 'is', 'difficult', 'to', 'be', 'detected', 'at', 'most', 'wavelengths', 'in', 'this', 'paper', 'we', 'explore', 'multiwavelength', 'synthetic', 'observations', 'of', 'a', 'massive', 'galaxy', 'cluster', 'developed', 'in', 'a', 'full', 'eulerianamr', 'cosmological', 'simulation', 'a', 'novel', 'numerical', 'procedure', 'is', 'applied', 'on', 'the', 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'emissions', 'associated', 'to', 'a', 'highresolution', 'galaxy', 'cluster', 'is', 'in', 'broad', 'agreement', 'with', 'previous', 'simulated', 'and', 'observational', 'estimates', 'of', 'both', 'gas', 'components']] | [-0.06313185242770393, 0.11190581495679204, -0.0732006722636348, 0.07870693723359097, -0.10428021072419648, -0.04263384778234992, 0.009739492156365215, 0.4223144250854696, -0.21101241053883754, -0.32512375424116774, 0.07561162331251946, -0.3092393903314531, -0.01250556249113888, 0.2055872823879814, 0.048761560466409344, 0.008445543138617553, 0.06878647361503981, -0.07528959527928575, -0.020564071019780198, -0.23589512808056376, 0.300942674917697, 0.1380048299774758, 0.19914020580982492, 0.003479717275338996, 0.07659553093883718, -0.0877789531176737, -0.12470312298217923, 0.041006573646319745, -0.11376326100337596, 0.059980590206081257, 0.25797090150377494, 0.12218051388158857, 0.22624352319434898, -0.3923318159104008, -0.2752254363245417, 0.09424637381189033, 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-0.1673614716171719, 0.06030622436713005, -0.1129249430152188, -0.11902049877296787, 0.36024079603483883, 0.19495717191070464, 0.22906837786893486, 0.04084163188655889, 0.3802465958828011, 0.08139224568761155, 0.06689292538224614, 0.09795440549088508, 0.26943010255003097, 0.17108894543501443, 0.10919308501353353, -0.21991182148178137, 0.05579621961685954, -0.030411587035242642] |
1,802.09459 | Cohomology of finite p-groups of fixed nilpotency class | Let p be a prime number and let c, d be natural numbers. Then, the number of
possible isomorphism types for the mod p cohomology algebra of a d-generated
finite p-group of nilpotency class c is bounded by a function depending only on
p, c and d.
| math.AT math.GR | let p be a prime number and let c d be natural numbers then the number of possible isomorphism types for the mod p cohomology algebra of a dgenerated finite pgroup of nilpotency class c is bounded by a function depending only on p c and d | [['let', 'p', 'be', 'a', 'prime', 'number', 'and', 'let', 'c', 'd', 'be', 'natural', 'numbers', 'then', 'the', 'number', 'of', 'possible', 'isomorphism', 'types', 'for', 'the', 'mod', 'p', 'cohomology', 'algebra', 'of', 'a', 'dgenerated', 'finite', 'pgroup', 'of', 'nilpotency', 'class', 'c', 'is', 'bounded', 'by', 'a', 'function', 'depending', 'only', 'on', 'p', 'c', 'and', 'd']] | [-0.25743649222273773, 0.1768190081607788, -0.05713360697189544, -0.04079509006832984, -0.08530502156057257, -0.2767091949985541, 0.01966523715948805, 0.23046109786732716, -0.39402410594072745, -0.3036624348345906, 0.01602469711128543, -0.22175508420518103, -0.025609801751264233, 0.17703707892685494, -0.09475365582298725, -0.035244858036055524, 0.001611748799443879, 0.19549301884909895, -0.009604149360576289, -0.3094732703522165, 0.34925055614811307, -0.12392820306976841, 0.12414929776036358, 0.05467658513720999, 0.014643200772239807, 0.0038086205443486256, 0.05062896369936618, 0.023169323217440793, -0.15659656797714055, 0.07086458285041947, 0.31248033181466955, 0.11533783426746091, 0.26962497521271095, -0.30237262317554114, -0.09135288496481929, 0.31069995048753124, 0.15147566902352141, -0.10112489878814271, 0.0292785545845734, -0.2076342431630226, 0.2478432980504759, -0.19377591944438347, -0.11028000499379445, -0.06026475151327062, 0.3191059405340793, 0.034337106775096125, -0.36190676808040195, -0.05685530642562724, 0.08876110664866071, 0.21412599883339506, -0.010263962894083654, -0.19045999360845445, -0.09816110080623246, -0.014410384138055305, -0.08294033500405544, 0.11534578145105154, 0.06930976333294778, -0.042121706213405795, -0.12118052977553391, 0.3980224012852983, -0.029892268570813726, -0.22542916575169308, 0.10532696178539637, -0.2142622775517087, -0.1405460402528022, 0.1193749101168694, 0.1032524011395079, 0.2163218987431932, 0.08394603617489338, 0.299735640034456, -0.13182606865116892, 0.12336481844094839, 0.09769595868172164, -0.06650740740464088, 0.09940500390973497, 0.05203752230575427, 0.040002046608702935, 0.10933164078643189, 0.02513956348411739, 0.1504950832979298, -0.4321262612938881, -0.19258248060941696, -0.19141282446365407, 0.20167294078744313, -0.1341241459217309, -0.09418314974755049, 0.3699888025826596, 0.005451213845864255, 0.16859729798074732, 0.1390881714351634, 0.13900898424710365, 0.05898756983670148, 0.036268261040838315, 0.0676310457031619, -0.03103181612776949, 0.2329621370782719, -0.09551889176896596, -0.18888418722224046, 0.027383326820315832, 0.21847337165425104] |
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