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1,803.00267 | A fresh look at the Semiparametric Cram\'{e}r-Rao Bound | This paper aims at providing a fresh look at semiparametric estimation theory
and, in particular, at the Semiparametric Cram\'{e}r-Rao Bound (SCRB).
Semiparametric models are characterized by a finite-dimensional parameter
vector of interest and by an infinite-dimensional nuisance function that is
often related to an unspecified functional form of the density of the noise
underlying the observations. We summarize the main motivations and the
intuitive concepts about semiparametric models. Then we provide a new look at
the classical estimation theory based on a geometrical Hilbert space-based
approach. Finally, the semiparametric version of the Cram\'{e}r-Rao Bound for
the estimation of the finite-dimensional vector of the parameters of interest
is provided.
| eess.SP | this paper aims at providing a fresh look at semiparametric estimation theory and in particular at the semiparametric cramerrao bound scrb semiparametric models are characterized by a finitedimensional parameter vector of interest and by an infinitedimensional nuisance function that is often related to an unspecified functional form of the density of the noise underlying the observations we summarize the main motivations and the intuitive concepts about semiparametric models then we provide a new look at the classical estimation theory based on a geometrical hilbert spacebased approach finally the semiparametric version of the cramerrao bound for the estimation of the finitedimensional vector of the parameters of interest is provided | [['this', 'paper', 'aims', 'at', 'providing', 'a', 'fresh', 'look', 'at', 'semiparametric', 'estimation', 'theory', 'and', 'in', 'particular', 'at', 'the', 'semiparametric', 'cramerrao', 'bound', 'scrb', 'semiparametric', 'models', 'are', 'characterized', 'by', 'a', 'finitedimensional', 'parameter', 'vector', 'of', 'interest', 'and', 'by', 'an', 'infinitedimensional', 'nuisance', 'function', 'that', 'is', 'often', 'related', 'to', 'an', 'unspecified', 'functional', 'form', 'of', 'the', 'density', 'of', 'the', 'noise', 'underlying', 'the', 'observations', 'we', 'summarize', 'the', 'main', 'motivations', 'and', 'the', 'intuitive', 'concepts', 'about', 'semiparametric', 'models', 'then', 'we', 'provide', 'a', 'new', 'look', 'at', 'the', 'classical', 'estimation', 'theory', 'based', 'on', 'a', 'geometrical', 'hilbert', 'spacebased', 'approach', 'finally', 'the', 'semiparametric', 'version', 'of', 'the', 'cramerrao', 'bound', 'for', 'the', 'estimation', 'of', 'the', 'finitedimensional', 'vector', 'of', 'the', 'parameters', 'of', 'interest', 'is', 'provided']] | [-0.06424239280426668, 0.07758462142131368, -0.12567916272975574, 0.11022420240678238, -0.09354431926341797, -0.14320212169722826, 0.03439658319392173, 0.3084258755531024, -0.24043559262322056, -0.2711527593675311, 0.1420908647382425, -0.21220053582348758, -0.18456901998379854, 0.19414171131319125, -0.14583021243042485, 0.07777244859392306, 0.016963620499828486, 0.06466354890020469, -0.09251078336146074, -0.24939747923916136, 0.3417459470306144, 0.08193900332682663, 0.26901065671161095, -0.012993114625310732, 0.14740914333163313, 0.034688411904628284, -0.03500286715657071, -0.03148085310951703, -0.20882918663503208, 0.20493494322592462, 0.2776237723137456, 0.169086986195503, 0.3592218574464183, -0.3693109968056281, -0.21945285353016247, 0.08348881096699862, 0.12129311512345103, 0.09312503373560806, -0.012851025733484508, -0.31977080469261165, 0.005140749306452495, -0.16484582619482857, -0.11371568797363175, -0.092967772959835, -0.03192698065605429, -0.018746075185912627, -0.2998510804113553, 0.09187224125748293, 0.07342111775479107, 0.06394482395801417, -0.08225909029392318, -0.16475724995662286, 0.025523130842312065, 0.05525659691732101, 0.034629739791112286, 0.0013471306474120528, 0.08997097626087014, -0.1596221358545504, -0.08929376549484139, 0.2877574712382974, -0.05639445133446888, -0.2344749339994181, 0.14947151102306735, -0.1301870525262698, -0.1852477756285764, 0.06998864808809702, 0.21160332301493595, 0.0865423733851424, -0.16595052951015532, 0.12706706941793933, -0.057321623878562135, 0.12474161365793811, -0.016344883285152417, 0.06244601617584488, 0.21004953072406352, 0.187869206017004, 0.09870164791398027, 0.12955683071373236, -0.11589116998732572, -0.06786047902682589, -0.36356641440997245, -0.13391448726071287, -0.21352169523231201, -0.0012006401429297748, -0.1286094947627808, -0.16313169330048063, 0.40305940617798586, 0.1756199694414304, 0.1847601446788758, 0.09147145658627981, 0.3100682764650426, 0.16093895956011559, -0.047454867546481115, 0.08581564996684729, 0.2077728647445501, 0.17430603087457172, -0.009498908283637354, -0.1511642363017287, 0.09909496217773671, 0.05154398311774626] |
1,803.00268 | Representation Learning in Partially Observable Environments using
Sensorimotor Prediction | In order to explore and act autonomously in an environment, an agent needs to
learn from the sensorimotor information that is captured while acting. By
extracting the regularities in this sensorimotor stream, it can learn a model
of the world, which in turn can be used as a basis for action and exploration.
This requires the acquisition of compact representations from a possibly high
dimensional raw observation, which is noisy and ambiguous. In this paper, we
learn sensory representations from sensorimotor prediction. We propose a model
which integrates sensorimotor information over time, and project it in a
sensory representation which is useful for prediction. We emphasize on a simple
example the role of motor and memory for learning sensory representations.
| cs.AI cs.RO | in order to explore and act autonomously in an environment an agent needs to learn from the sensorimotor information that is captured while acting by extracting the regularities in this sensorimotor stream it can learn a model of the world which in turn can be used as a basis for action and exploration this requires the acquisition of compact representations from a possibly high dimensional raw observation which is noisy and ambiguous in this paper we learn sensory representations from sensorimotor prediction we propose a model which integrates sensorimotor information over time and project it in a sensory representation which is useful for prediction we emphasize on a simple example the role of motor and memory for learning sensory representations | [['in', 'order', 'to', 'explore', 'and', 'act', 'autonomously', 'in', 'an', 'environment', 'an', 'agent', 'needs', 'to', 'learn', 'from', 'the', 'sensorimotor', 'information', 'that', 'is', 'captured', 'while', 'acting', 'by', 'extracting', 'the', 'regularities', 'in', 'this', 'sensorimotor', 'stream', 'it', 'can', 'learn', 'a', 'model', 'of', 'the', 'world', 'which', 'in', 'turn', 'can', 'be', 'used', 'as', 'a', 'basis', 'for', 'action', 'and', 'exploration', 'this', 'requires', 'the', 'acquisition', 'of', 'compact', 'representations', 'from', 'a', 'possibly', 'high', 'dimensional', 'raw', 'observation', 'which', 'is', 'noisy', 'and', 'ambiguous', 'in', 'this', 'paper', 'we', 'learn', 'sensory', 'representations', 'from', 'sensorimotor', 'prediction', 'we', 'propose', 'a', 'model', 'which', 'integrates', 'sensorimotor', 'information', 'over', 'time', 'and', 'project', 'it', 'in', 'a', 'sensory', 'representation', 'which', 'is', 'useful', 'for', 'prediction', 'we', 'emphasize', 'on', 'a', 'simple', 'example', 'the', 'role', 'of', 'motor', 'and', 'memory', 'for', 'learning', 'sensory', 'representations']] | [-0.03558428316997985, 0.10694912618904102, -0.12400713466728727, 0.03594368433017128, -0.15020834507886321, -0.1176572002703324, 0.03169115915370639, 0.4186774563975632, -0.31673774238831054, -0.31582603564796347, 0.09801452169776895, -0.23085007358846876, -0.24952681898187923, 0.19114160758520787, -0.15607518806743126, -0.001967797668961187, 0.07541755789813274, 0.14457606489304453, -0.00948967082076706, -0.18291299475434547, 0.2960780083036904, 0.029595733119640498, 0.25446777950661875, -0.03572051832064365, 0.18825706931917618, 0.013062221564662952, -0.031020368238872227, -0.04092160563450307, -0.012174779268207203, 0.21973124580690637, 0.3678387980675325, 0.18382359420356806, 0.31395447685111627, -0.44519911139893037, -0.2503403601391862, 0.10845709854426483, 0.13630169481039048, 0.11091592768401218, -0.04670128366657688, -0.3514663392542085, 0.0485609973121124, -0.178229727394258, -0.003123663431809594, -0.1512560519389808, -0.00480923131108284, -0.06229849080603647, -0.3312291336090614, 0.014921757280050466, 0.07565001399052562, 0.0747455448533098, -0.10442896710786348, 0.0017114948908177514, 0.012319839530391619, 0.2436374540052687, 0.0033682672954455485, 0.08235459863014209, 0.1701264374773018, -0.19226322992744826, -0.10251262829988264, 0.3746055319827671, -0.02111383061176942, -0.23209264870577803, 0.20967556089162825, -0.08707324991119095, -0.14892606261419133, 0.08031792965630302, 0.2643591835241144, 0.07167755733244122, -0.1785793579261129, 0.032514378666625515, -0.03508476479134212, 0.20181581123906653, 0.026155222742818295, 0.017962757883166584, 0.24052418217373392, 0.23550039823167027, 0.03305352986014138, 0.1286180335902221, -0.07440197342657484, -0.09730559488137563, -0.2675232835502053, -0.15579780359063686, -0.17167252095144553, 0.03249187532346696, -0.08237791337633098, -0.08866768371262879, 0.39115607427277915, 0.21112913137524933, 0.2594335935971079, 0.06758208319273157, 0.316798376912872, 0.08059756205281397, 0.11229043217996756, 0.09065384371206164, 0.12320564168815812, 0.005053916121444975, 0.11183220203286813, -0.17793623296893202, 0.12366711667079168, 0.036170723871327935] |
1,803.00269 | A new approach to solving multi-order fractional equations using BEM and
Chebyshev matrix | In this paper, the boundary element method is combined with Chebyshev
operational matrix technique to solve two-dimensional multi-order
time-fractional partial differential equations; nonlinear and linear in respect
to spatial and temporal variables, respectively. Fractional derivatives are
estimated by Caputo sense. Boundary element method is used to convert the main
problem into a system of a multi-order fractional ordinary differential
equation. Then, the produced system is approximated by Chebyshev operational
matrix technique, ans its condition number is analyzed. Accuracy and efficiency
of the proposed hybrid scheme are demonstrated by solving three different types
of two-dimensional time fractional convection-diffusion equations numerically.
The convergent rates are calculated for different meshing within the boundary
element technique. Numerical results are given by graphs and tables for
solutions and different type of error norms.
| math.AP cs.NA math.NA | in this paper the boundary element method is combined with chebyshev operational matrix technique to solve twodimensional multiorder timefractional partial differential equations nonlinear and linear in respect to spatial and temporal variables respectively fractional derivatives are estimated by caputo sense boundary element method is used to convert the main problem into a system of a multiorder fractional ordinary differential equation then the produced system is approximated by chebyshev operational matrix technique ans its condition number is analyzed accuracy and efficiency of the proposed hybrid scheme are demonstrated by solving three different types of twodimensional time fractional convectiondiffusion equations numerically the convergent rates are calculated for different meshing within the boundary element technique numerical results are given by graphs and tables for solutions and different type of error norms | [['in', 'this', 'paper', 'the', 'boundary', 'element', 'method', 'is', 'combined', 'with', 'chebyshev', 'operational', 'matrix', 'technique', 'to', 'solve', 'twodimensional', 'multiorder', 'timefractional', 'partial', 'differential', 'equations', 'nonlinear', 'and', 'linear', 'in', 'respect', 'to', 'spatial', 'and', 'temporal', 'variables', 'respectively', 'fractional', 'derivatives', 'are', 'estimated', 'by', 'caputo', 'sense', 'boundary', 'element', 'method', 'is', 'used', 'to', 'convert', 'the', 'main', 'problem', 'into', 'a', 'system', 'of', 'a', 'multiorder', 'fractional', 'ordinary', 'differential', 'equation', 'then', 'the', 'produced', 'system', 'is', 'approximated', 'by', 'chebyshev', 'operational', 'matrix', 'technique', 'ans', 'its', 'condition', 'number', 'is', 'analyzed', 'accuracy', 'and', 'efficiency', 'of', 'the', 'proposed', 'hybrid', 'scheme', 'are', 'demonstrated', 'by', 'solving', 'three', 'different', 'types', 'of', 'twodimensional', 'time', 'fractional', 'convectiondiffusion', 'equations', 'numerically', 'the', 'convergent', 'rates', 'are', 'calculated', 'for', 'different', 'meshing', 'within', 'the', 'boundary', 'element', 'technique', 'numerical', 'results', 'are', 'given', 'by', 'graphs', 'and', 'tables', 'for', 'solutions', 'and', 'different', 'type', 'of', 'error', 'norms']] | [-0.11439301770451493, 0.039484219185396796, -0.04774387086945353, 0.043219077608455336, -0.0743513178313151, -0.1547677408743766, -0.022361602552564364, 0.3565145631582709, -0.3324674941250123, -0.2961588884122648, 0.15531679039304436, -0.2607801041303901, -0.12877322246640688, 0.21547458561690291, -0.06528313407397945, 0.1726311443544546, 0.07395258516044123, -0.025328662948595593, -0.10410708455674467, -0.23589922124665463, 0.34135260823677527, -0.043893721915083006, 0.24543264043495583, -0.0291409522324102, 0.16877262259367853, -0.08156718198370072, -0.09119836358877365, 0.04567245888028992, -0.11002963298778923, 0.10739438902510301, 0.26982797458185814, 0.054129996045048756, 0.28946926482603885, -0.43885461398167536, -0.20727547445676464, 0.03907302737570717, 0.12407179652655032, 0.05389816093520494, -0.018298180661076913, -0.2941321806229098, 0.11707402546380763, -0.13648003945854725, -0.1628927172278054, -0.08803117843854125, 0.003320620504382532, 0.07786879930063151, -0.3272481066560431, 0.12054479122161865, 0.0072058099344758375, 0.009347634006189764, -0.07892794354938815, -0.15765992420165276, -0.0013760737674601842, 0.04624888001853833, -0.021666984812327428, -0.047586438835423905, 0.02548239012412523, -0.038269407423285884, -0.10897781052062783, 0.35802830666216323, -0.08274806166809867, -0.31548149896843825, 0.1129883755784249, -0.10184398111596238, -0.06600174241430068, 0.16246053402937832, 0.18515951175504597, 0.18156215058843372, -0.20451909153780434, 0.08061123029392547, 0.010367693756961671, 0.16685420639441872, 0.08492373987428437, -0.011704243606800446, 0.06143207009881735, 0.15004274868988432, 0.08403168721633847, 0.12232763205429364, -0.028149667583420523, -0.15783219768673007, -0.2826375728327548, -0.18316938012867467, -0.17435488010960398, -0.04608507178909349, -0.1445611336772572, -0.1488380394075648, 0.3649210408003398, 0.1299759245775931, 0.08673820296826307, 0.03314684651559219, 0.28903241113766853, 0.2557893512894225, -0.016964078294677165, 0.029610196674184408, 0.13800575353889144, 0.2017158069938887, 0.1286679457552964, -0.2750614819851762, 0.04333913657819721, 0.22742113080312265] |
1,803.0027 | Incommensurate Magnetic Ordering from One-Dimensional Correlated
Topological Bulk States | A phenomenological model accounts for the calculation of incommensurate
ordering wave vectors (IC) in several Ce- and U-based f-electron itinerant
compounds (CePtSn, CePdSn, CeNiSn, CeRhIn$_5$, URu$_2$Si$_2$, CeNiAsO,
CeCu$_{(6-x)}$Au$_x$, UNi$_2$Al$_3$, CeCuSn) as well as in BSSCO,
Rb$_2$ZnBr$_4$, MnSi and prototypical IC system Chromium metal. This model is
justified by a many-body topological one-dimensional (1-D) Dirac Hamiltonian
after center of mass transformation on a chiral set of momenta defined by a
local expansion of crystallographic Bragg planes. Implications for the
emergence of long range bulk states driven by fluctuations with this model are
discussed.
| cond-mat.str-el | a phenomenological model accounts for the calculation of incommensurate ordering wave vectors ic in several ce and ubased felectron itinerant compounds ceptsn cepdsn cenisn cerhin_5 uru_2si_2 ceniaso cecu_6xau_x uni_2al_3 cecusn as well as in bssco rb_2znbr_4 mnsi and prototypical ic system chromium metal this model is justified by a manybody topological onedimensional 1d dirac hamiltonian after center of mass transformation on a chiral set of momenta defined by a local expansion of crystallographic bragg planes implications for the emergence of long range bulk states driven by fluctuations with this model are discussed | [['a', 'phenomenological', 'model', 'accounts', 'for', 'the', 'calculation', 'of', 'incommensurate', 'ordering', 'wave', 'vectors', 'ic', 'in', 'several', 'ce', 'and', 'ubased', 'felectron', 'itinerant', 'compounds', 'ceptsn', 'cepdsn', 'cenisn', 'cerhin_5', 'uru_2si_2', 'ceniaso', 'cecu_6xau_x', 'uni_2al_3', 'cecusn', 'as', 'well', 'as', 'in', 'bssco', 'rb_2znbr_4', 'mnsi', 'and', 'prototypical', 'ic', 'system', 'chromium', 'metal', 'this', 'model', 'is', 'justified', 'by', 'a', 'manybody', 'topological', 'onedimensional', '1d', 'dirac', 'hamiltonian', 'after', 'center', 'of', 'mass', 'transformation', 'on', 'a', 'chiral', 'set', 'of', 'momenta', 'defined', 'by', 'a', 'local', 'expansion', 'of', 'crystallographic', 'bragg', 'planes', 'implications', 'for', 'the', 'emergence', 'of', 'long', 'range', 'bulk', 'states', 'driven', 'by', 'fluctuations', 'with', 'this', 'model', 'are', 'discussed']] | [-0.20051514773174775, 0.23644029777930226, 0.013670417255462083, 0.05994730463067373, -0.022656691969957118, -0.13816054640297215, 0.076227797476878, 0.35254101738940147, -0.23074051194694326, -0.23263676632953764, -0.012949646437042502, -0.3337911299191589, -0.12543784467730845, 0.1323130126165356, 0.10648332381361099, 0.04878099079698671, -0.04570152733994778, -0.03531292617743358, -0.1616206429722762, -0.1919406340213839, 0.29395643391018345, 0.023746721449221464, 0.28708914165428384, 0.013339885819140215, 0.0401052362908241, 0.04739773105765655, 0.15535341491543708, -0.008464044024951236, -0.1101023469412656, 0.010105825632372004, 0.2494264271456835, -0.08055769855178199, 0.16880079876728962, -0.39400447062541577, -0.28198241708843513, -0.03429644081070153, 0.15588392568958603, 0.12032919392249612, -0.08254188904403384, -0.32094217854183776, 0.03030491921357637, -0.20193627234115158, -0.16978635256676827, -0.10834214257260481, -0.016253979703368143, 0.0011387583366486915, -0.2274671728779605, 0.1422859118443147, 0.07444732718651595, 0.14411036951770617, -0.12915261244119772, -0.14005357738947063, -0.09572961014901223, -0.03189458636848559, 0.043232361887592476, 0.055288744291702156, 0.09943849527545079, -0.07592236790481176, -0.1316013597493428, 0.4323785458583125, -0.023736285917504235, -0.06798966035387631, 0.13723169633209012, -0.1459326650351719, -0.09614987366529572, 0.13528779744330338, 0.0905959471534981, 0.06861060544263659, -0.1696889428421855, 0.09684544873591729, -0.05837782792903369, 0.12672020917924848, 0.00870917805167305, 0.07588831093812058, 0.2778427338465875, 0.22641015592637623, -0.011121811291072951, 0.10526923342001472, -0.0836153534852878, -0.09007763415087708, -0.2604725518978612, -0.15800803504494387, -0.23649113720586135, 0.04324458457233769, -0.06348951463012274, -0.22384691016402009, 0.39651592813302267, 0.11424268616450041, 0.2152644404816593, -0.11704289194651295, 0.19402479962987262, 0.08490931163802554, 0.04245278692999205, 0.015632071930287015, 0.18887089809056284, 0.21330145838248088, 0.11353025323072405, -0.264861004944176, 0.06345047348796196, 0.10364573025977142] |
1,803.00271 | Nonsemisimple Hopf algebras of dimension 8p with the Chevalley property | Let p be an odd prime and k an algebraically closed field of characteristic
zero. We classify nonsemisimple Hopf algebras over k of dimension 8p with the
Chevalley property, and give partial results on nonsemisimple Hopf algebras of
dimension 24.
| math.QA | let p be an odd prime and k an algebraically closed field of characteristic zero we classify nonsemisimple hopf algebras over k of dimension 8p with the chevalley property and give partial results on nonsemisimple hopf algebras of dimension 24 | [['let', 'p', 'be', 'an', 'odd', 'prime', 'and', 'k', 'an', 'algebraically', 'closed', 'field', 'of', 'characteristic', 'zero', 'we', 'classify', 'nonsemisimple', 'hopf', 'algebras', 'over', 'k', 'of', 'dimension', '8p', 'with', 'the', 'chevalley', 'property', 'and', 'give', 'partial', 'results', 'on', 'nonsemisimple', 'hopf', 'algebras', 'of', 'dimension', '24']] | [-0.2935334267327562, 0.1427822973295406, -0.05389992773998529, -0.001788040203973651, -0.13191648658830674, -0.2566000684630126, -0.10207656915299594, 0.29317527408711613, -0.3596046417369507, -0.16039580795913935, 0.060304605949204414, -0.21371205715695396, -0.08451107478467748, 0.21972537997644395, -0.10336163867468713, -0.1566303112951573, -0.006471671885810793, 0.2879828807432204, -0.08097033724188804, -0.4136947722639889, 0.4130503635853529, -0.09511113503249362, 0.15176913659088315, 0.022963595599867402, 0.08003401211462915, 0.06039589635329321, 0.04235936631448567, 0.01135247283964418, -0.24083896055817605, -0.0012315662810578943, 0.40281796995550395, 0.03785789823159576, 0.18590471856296062, -0.31518805734813216, -0.06005030233645812, 0.2374692420475185, 0.26145367849385365, -0.03714232021011412, 0.06135743892227765, -0.3076476974179968, 0.19124724199064075, -0.209149047289975, -0.1799398867879063, -0.11906530039850623, 0.15825408994278406, -0.12145128585398197, -0.28263283115811644, -0.024251721100881696, 0.15558978826738895, 0.36728246054262853, -0.12191951925051399, -0.19192272485233844, -0.04852814469486475, 0.029770836973330005, -0.05656296499073506, 0.04437953847227618, 0.06718990287045017, -0.04203112708637491, -0.25068167073477526, 0.25998176406137646, -0.05003657410852611, -0.16365953302010894, 0.09423727618413977, -0.22386523433960975, -0.10068991326261312, 0.22816399727016687, 0.056158539443276825, 0.14474006644450127, 0.05906388484872878, 0.2679667443939252, -0.14985679793171586, -0.0032451913226395845, 0.09817911596037447, -0.005744555359706282, 0.0772767016198486, 0.0001371985301375389, 0.05729891078080982, 0.11777984043874312, 0.033288708265172315, 0.08632003576494754, -0.3707775694783777, -0.20293828945141285, -0.023859815066680314, 0.28986877780407666, -0.1779685906105442, -0.16902012452483178, 0.3931594850495458, 0.07383322753012181, 0.16486536478623748, 0.14754983682651074, 0.150609301449731, 0.031198560423217715, 0.1316556058358401, 0.05964700391195947, -0.014087419770658017, 0.3984084590803832, -0.06441481500223745, -0.12335412171669305, -0.16576383496867492, 0.24763722328934817] |
1,803.00272 | Detecting phases in one-dimensional many-fermion systems with the
functional renormalization group | The functional renormalization group (FRG) has been used widely to
investigate phase diagrams, in particular the one of the two-dimensional
Hubbard model. So far, the study of one-dimensional models has not attracted as
much attention. We use the FRG to investigate the phases of a one-dimensional
spinless tight-binding chain with nearest and next-nearest neighbor
interactions at half filling. The phase diagram of this model has already been
established with other methods, and phase transitions from a metallic phase to
ordered phases take place at intermediate to strong interactions. The model is
thus well suited to analyze the potential and the limitations of the FRG in
this regime of interactions. We employ flow equations that are exact up to
second order in the interaction, which implies that we take into account the
frequency dependence of the two-particle vertex as well as the feedback of the
dynamic self-energy. For intermediate nearest neighbor interactions, our scheme
captures the phase transition from a metallic phase to a charge density wave
with alternating occupation. The critical interaction, at which this transition
occurs, is underestimated due to our approximations. Similarly, for
intermediate next-nearest neighbor interactions, we observe a transition to a
charge density wave with occupation pattern ..00110011... We show that taking
into account a feedback of the two-particle vertex in the flow equation is
essential for the detection of those phases.
| cond-mat.str-el | the functional renormalization group frg has been used widely to investigate phase diagrams in particular the one of the twodimensional hubbard model so far the study of onedimensional models has not attracted as much attention we use the frg to investigate the phases of a onedimensional spinless tightbinding chain with nearest and nextnearest neighbor interactions at half filling the phase diagram of this model has already been established with other methods and phase transitions from a metallic phase to ordered phases take place at intermediate to strong interactions the model is thus well suited to analyze the potential and the limitations of the frg in this regime of interactions we employ flow equations that are exact up to second order in the interaction which implies that we take into account the frequency dependence of the twoparticle vertex as well as the feedback of the dynamic selfenergy for intermediate nearest neighbor interactions our scheme captures the phase transition from a metallic phase to a charge density wave with alternating occupation the critical interaction at which this transition occurs is underestimated due to our approximations similarly for intermediate nextnearest neighbor interactions we observe a transition to a charge density wave with occupation pattern 00110011 we show that taking into account a feedback of the twoparticle vertex in the flow equation is essential for the detection of those phases | [['the', 'functional', 'renormalization', 'group', 'frg', 'has', 'been', 'used', 'widely', 'to', 'investigate', 'phase', 'diagrams', 'in', 'particular', 'the', 'one', 'of', 'the', 'twodimensional', 'hubbard', 'model', 'so', 'far', 'the', 'study', 'of', 'onedimensional', 'models', 'has', 'not', 'attracted', 'as', 'much', 'attention', 'we', 'use', 'the', 'frg', 'to', 'investigate', 'the', 'phases', 'of', 'a', 'onedimensional', 'spinless', 'tightbinding', 'chain', 'with', 'nearest', 'and', 'nextnearest', 'neighbor', 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1,803.00273 | A factorization of a L\'evy process over a phase-type horizon | This note provides a factorization of a L\'evy pocess over a phase-type
horizon $\tau$ given the phase at the supremum, thereby extending the
Wiener-Hopf factorization for $\tau$ exponential. One of the factors is defined
using time reversal of the phase process. It is shown that there are a variety
of time-reversed representations, all yielding the same factor. Consequences of
this are discussed and examples provided. Additionally, some explicit formulas
for the joint law of the supremum and the terminal value of the process at
$\tau$ are given.
| math.PR | this note provides a factorization of a levy pocess over a phasetype horizon tau given the phase at the supremum thereby extending the wienerhopf factorization for tau exponential one of the factors is defined using time reversal of the phase process it is shown that there are a variety of timereversed representations all yielding the same factor consequences of this are discussed and examples provided additionally some explicit formulas for the joint law of the supremum and the terminal value of the process at tau are given | [['this', 'note', 'provides', 'a', 'factorization', 'of', 'a', 'levy', 'pocess', 'over', 'a', 'phasetype', 'horizon', 'tau', 'given', 'the', 'phase', 'at', 'the', 'supremum', 'thereby', 'extending', 'the', 'wienerhopf', 'factorization', 'for', 'tau', 'exponential', 'one', 'of', 'the', 'factors', 'is', 'defined', 'using', 'time', 'reversal', 'of', 'the', 'phase', 'process', 'it', 'is', 'shown', 'that', 'there', 'are', 'a', 'variety', 'of', 'timereversed', 'representations', 'all', 'yielding', 'the', 'same', 'factor', 'consequences', 'of', 'this', 'are', 'discussed', 'and', 'examples', 'provided', 'additionally', 'some', 'explicit', 'formulas', 'for', 'the', 'joint', 'law', 'of', 'the', 'supremum', 'and', 'the', 'terminal', 'value', 'of', 'the', 'process', 'at', 'tau', 'are', 'given']] | [-0.1262420605053194, 0.11931176111102104, -0.12474784015699528, 0.06568434602347627, -0.03811730234342259, -0.10096542158727209, 0.04769767152936046, 0.3612192501855451, -0.30255229901089226, -0.21070589543168627, 0.1305099992016547, -0.23558327849672803, -0.10668252013775326, 0.20989839194429127, -0.01717504006076122, 0.07607381372864164, 0.01841613777025148, 0.058672298985901615, -0.08143465572340024, -0.24806877782265113, 0.33698779277416857, 0.03628311880192785, 0.217648611820931, 0.055750583558408326, 0.16509498426214206, -0.006205547151567284, -0.07382090276020557, -0.029205306303189245, -0.127200658430855, 0.07118439109086297, 0.22338712430656563, 0.11389597232973334, 0.24924402006327845, -0.3459327527603438, -0.16071061432621506, 0.14469124692990337, 0.10624319280573535, 0.045533740432759706, -0.013445989445371682, -0.27106556289850975, 0.10739610704246821, -0.17235706282270596, -0.12634672974994363, -0.03767072279439416, 0.0834526605470929, 0.01276355072162872, -0.32547596638459103, 0.049421212949984986, 0.11086753242497527, 0.024162178129488385, -0.034235995051689276, -0.13898626262278752, 0.03108247972721624, 0.12413311775145662, 0.10042069827918461, 0.010406006869405161, 0.09416350957309437, -0.10783686054069115, -0.12465505607339532, 0.34451074174843554, -0.03911514956569082, -0.19349415271088136, 0.1335233423566489, -0.184367849080022, -0.12919215704747583, 0.1644882393952156, 0.0824398886639798, 0.12192127382192222, -0.13259923915097185, 0.14458145193490307, -0.05003130993654215, 0.07880270055922961, 0.09427595293950723, 0.04027636767754894, 0.14194529471095912, 0.15607744333507537, 0.06195786714467198, 0.1474610241833901, -0.03815267331421722, -0.11564979288012309, -0.40510117002697876, -0.187665123351698, -0.1841845054837312, 0.07859473315414128, -0.15774073916301942, -0.13590958370213926, 0.41126214834146724, 0.06537012656240962, 0.2372230509794209, 0.15028065118158973, 0.2408083613182223, 0.2177466771559963, 0.013862160153600365, 0.07121910699424916, 0.1452833674161094, 0.11488504101370656, 0.09170902637781056, -0.18023017582721834, 0.12875128903989355, 0.06779240896697915] |
1,803.00274 | Electron-Phonon Coupling Mode in Excitonic Insulator | Ta2NiSe5 is considered a promising excitonic insulator (EI) candidate with
slight phonon contributions, since it exhibits a tiny
orthorhombic-to-monoclinic structural distortion at 328 K without any
superlattice structure. Our synchrotron inelastic x-ray scattering measurements
reveal strong electron-optical-phonon coupling occurring at temperatures higher
than the transition temperature. Density functional theoretical calculations
indicate that two coupled optical modes arise due to the vibration of Ta and Se
ions. Further, the two modes are frozen such that Ta and Se approach each
other, forming atomic-displacement-type electric dipoles in the monoclinic
phase. The characteristic of electronic toroidal moment formation by the
antiferro-arrangements of electric dipoles is the universality of EI between
Ta2NiSe5 and 1T-TiSe2.
| cond-mat.str-el | ta2nise5 is considered a promising excitonic insulator ei candidate with slight phonon contributions since it exhibits a tiny orthorhombictomonoclinic structural distortion at 328 k without any superlattice structure our synchrotron inelastic xray scattering measurements reveal strong electronopticalphonon coupling occurring at temperatures higher than the transition temperature density functional theoretical calculations indicate that two coupled optical modes arise due to the vibration of ta and se ions further the two modes are frozen such that ta and se approach each other forming atomicdisplacementtype electric dipoles in the monoclinic phase the characteristic of electronic toroidal moment formation by the antiferroarrangements of electric dipoles is the universality of ei between ta2nise5 and 1ttise2 | [['ta2nise5', 'is', 'considered', 'a', 'promising', 'excitonic', 'insulator', 'ei', 'candidate', 'with', 'slight', 'phonon', 'contributions', 'since', 'it', 'exhibits', 'a', 'tiny', 'orthorhombictomonoclinic', 'structural', 'distortion', 'at', '328', 'k', 'without', 'any', 'superlattice', 'structure', 'our', 'synchrotron', 'inelastic', 'xray', 'scattering', 'measurements', 'reveal', 'strong', 'electronopticalphonon', 'coupling', 'occurring', 'at', 'temperatures', 'higher', 'than', 'the', 'transition', 'temperature', 'density', 'functional', 'theoretical', 'calculations', 'indicate', 'that', 'two', 'coupled', 'optical', 'modes', 'arise', 'due', 'to', 'the', 'vibration', 'of', 'ta', 'and', 'se', 'ions', 'further', 'the', 'two', 'modes', 'are', 'frozen', 'such', 'that', 'ta', 'and', 'se', 'approach', 'each', 'other', 'forming', 'atomicdisplacementtype', 'electric', 'dipoles', 'in', 'the', 'monoclinic', 'phase', 'the', 'characteristic', 'of', 'electronic', 'toroidal', 'moment', 'formation', 'by', 'the', 'antiferroarrangements', 'of', 'electric', 'dipoles', 'is', 'the', 'universality', 'of', 'ei', 'between', 'ta2nise5', 'and', '1ttise2']] | [-0.17008722782635163, 0.23700267048897566, -0.02265077488091602, 0.019453223391017807, -0.02838637359888741, -0.15301038917257553, 0.07545695833148246, 0.40515803008478274, -0.2596313468810102, -0.269803656541087, -0.049083558425384886, -0.34410737593727253, -0.1132916429562977, 0.12789137238966455, 0.11885263198658962, -0.05326132297395142, -0.030566968871021852, -0.032273698978113115, -0.09018536173755785, -0.1530941683031415, 0.25563033226946436, 0.035246517319508175, 0.32989485775060196, 0.09613680748130989, 0.012658365596844643, -0.014325712147789696, 0.1015779860317707, 0.015430411824059707, -0.10419286589725137, 0.03801944300842782, 0.2640377819986531, -0.0673197830501185, 0.19085032589673237, -0.45519163362095477, -0.19999368505172985, 0.0016689893026422295, 0.09282069687766058, 0.11059599898376123, -0.07471317060925584, -0.24951655543581755, 0.036797797356956395, -0.12686613329720717, -0.10079920855868194, -0.08098809859236805, -0.026753700812588686, 0.014025105258311939, -0.2549579083489435, 0.11063144366360372, 0.05239737545209074, 0.08001553673771182, -0.13810418179707118, -0.16299913102260757, -0.09759107101234366, 0.013941043023132134, 0.0531139210064861, 0.08156606657818581, 0.1520930388511193, -0.06705101301755619, -0.0908156534661194, 0.3769050746276561, -0.048534325037946004, -0.032805583551871006, 0.19894837386716432, -0.20057271275220923, -0.09444473970560702, 0.23852583339989739, 0.0795458520296961, 0.06338127992893094, -0.08271279859117284, 0.04914740943705612, 0.03975299285634214, 0.19650279932344952, 0.07328129593116939, 0.0969202539132244, 0.2588909715500281, 0.16087793572202186, 0.010809648204249915, 0.11533615830477276, -0.14240485684583998, -0.02958287179245855, -0.23699658441667756, -0.1380252874363645, -0.19531501971478402, 0.06061085129503799, -0.1132035023201078, -0.1768777243732647, 0.3545923884699328, 0.09391635891525194, 0.1494442767429131, -0.07174401848007822, 0.2582418911915738, 0.12895036195146126, 0.0893034787710618, 0.024790112882059206, 0.2968119963037747, 0.193950570345839, 0.10493174389315148, -0.3345581335511438, 0.056315244554921436, -0.0031537343747913837] |
1,803.00275 | CIDOR: Content Distribution and Retrieval in Disaster Networks for
Public Protection | Information-Centric Networking (ICN) introduces a paradigm shift from a host
centric communication model for Future Internet architectures. It supports the
retrieval of a particular content regardless of the physical location of the
content. Emergency network in a disaster scenario or disruptive network
presents a significant challenge to the ICN deployment. In this paper, we
present a Content dIstribution and retrieval framework in disaster netwOrks for
public pRotection (CIDOR) which exploits the design principle of the native CCN
architecture in the native Delay Tolerant Networking (DTN) architecture. We
prove the feasibility and investigate the performance of our proposed solution
using extensive simulation with different classes of the DTN routing strategies
in different mobility scenarios. The simulation result shows that CIDOR can
reduce the content retrieval time up to 50% while the response ratio is close
to 100%.
| cs.NI | informationcentric networking icn introduces a paradigm shift from a host centric communication model for future internet architectures it supports the retrieval of a particular content regardless of the physical location of the content emergency network in a disaster scenario or disruptive network presents a significant challenge to the icn deployment in this paper we present a content distribution and retrieval framework in disaster networks for public protection cidor which exploits the design principle of the native ccn architecture in the native delay tolerant networking dtn architecture we prove the feasibility and investigate the performance of our proposed solution using extensive simulation with different classes of the dtn routing strategies in different mobility scenarios the simulation result shows that cidor can reduce the content retrieval time up to 50 while the response ratio is close to 100 | [['informationcentric', 'networking', 'icn', 'introduces', 'a', 'paradigm', 'shift', 'from', 'a', 'host', 'centric', 'communication', 'model', 'for', 'future', 'internet', 'architectures', 'it', 'supports', 'the', 'retrieval', 'of', 'a', 'particular', 'content', 'regardless', 'of', 'the', 'physical', 'location', 'of', 'the', 'content', 'emergency', 'network', 'in', 'a', 'disaster', 'scenario', 'or', 'disruptive', 'network', 'presents', 'a', 'significant', 'challenge', 'to', 'the', 'icn', 'deployment', 'in', 'this', 'paper', 'we', 'present', 'a', 'content', 'distribution', 'and', 'retrieval', 'framework', 'in', 'disaster', 'networks', 'for', 'public', 'protection', 'cidor', 'which', 'exploits', 'the', 'design', 'principle', 'of', 'the', 'native', 'ccn', 'architecture', 'in', 'the', 'native', 'delay', 'tolerant', 'networking', 'dtn', 'architecture', 'we', 'prove', 'the', 'feasibility', 'and', 'investigate', 'the', 'performance', 'of', 'our', 'proposed', 'solution', 'using', 'extensive', 'simulation', 'with', 'different', 'classes', 'of', 'the', 'dtn', 'routing', 'strategies', 'in', 'different', 'mobility', 'scenarios', 'the', 'simulation', 'result', 'shows', 'that', 'cidor', 'can', 'reduce', 'the', 'content', 'retrieval', 'time', 'up', 'to', '50', 'while', 'the', 'response', 'ratio', 'is', 'close', 'to', '100']] | [-0.20739901152703522, -0.03135823312827122, -0.007846133571479525, 0.010865073942113668, -0.04581321741770536, -0.1712430435608127, 0.09673011318151492, 0.41411475995694524, -0.2860497958791345, -0.3245743213937298, 0.0885971820967119, -0.27169788100603803, -0.2114149204493542, 0.13362825264000514, -0.1093842323466357, 0.06950238882564008, 0.05140332013034998, 0.008409501919557633, -0.05201588566380261, -0.24565921350618575, 0.31133464963606267, 0.09394174480616156, 0.4312870261301078, 0.11128757185816987, 0.030295851108715383, -0.019113498659102498, -0.02518354901182118, -0.06764023078591633, -0.07206778282934058, 0.15610763034435796, 0.3079350970723708, 0.2457961524791543, 0.30366883590928656, -0.41670794586247917, -0.2694267209796513, 0.08127039802997414, 0.13575949305807478, 0.09042272634488016, -0.11327002112538234, -0.3233805180165861, 0.11718785194219646, -0.2607782854795901, -0.0877563596578009, -0.005483571384380113, 0.0009377961491804515, -0.010784738405638917, -0.2543938790322907, -0.009992851875722408, -0.015868776665527873, 0.020803584550410065, -0.05978577566652823, -0.04144953953540092, 0.019353817514171683, 0.14612829659669313, -0.020762837842044267, 0.027705468018469747, 0.1662462037551884, -0.13535506305208347, -0.12989438891605432, 0.42908125030182637, -0.009840742872555309, -0.14149381305045908, 0.1701681115351784, -0.014271600943392337, -0.13337771828397552, 0.068970990335958, 0.2555024307082171, 0.06709429507322762, -0.191992249464922, 0.017196886014686757, -0.0041056420122370565, 0.17592686069642763, 0.018998183016387272, 0.0755019458184547, 0.19175571177689943, 0.32069521110484017, 0.11981726416261561, 0.1411206087361632, -0.08368258476722117, -0.14194464581365238, -0.21882836612848452, -0.17063001400283748, -0.15920180804009285, 0.007375639168295397, -0.12486150573027745, -0.10549234753168786, 0.4022173401413124, 0.23787943964976985, 0.1452546735405366, 0.0728015211739216, 0.37282166659220384, -0.010894545582435858, 0.12044534552842379, 0.1334098407915279, 0.15984251345994313, -0.04277871676491323, 0.24263732941689165, -0.19150406275285103, 0.14570027325344062, -0.016257087696593866] |
1,803.00276 | Model-Based Clustering and Classification of Functional Data | The problem of complex data analysis is a central topic of modern statistical
science and learning systems and is becoming of broader interest with the
increasing prevalence of high-dimensional data. The challenge is to develop
statistical models and autonomous algorithms that are able to acquire knowledge
from raw data for exploratory analysis, which can be achieved through
clustering techniques or to make predictions of future data via classification
(i.e., discriminant analysis) techniques. Latent data models, including mixture
model-based approaches are one of the most popular and successful approaches in
both the unsupervised context (i.e., clustering) and the supervised one (i.e,
classification or discrimination). Although traditionally tools of multivariate
analysis, they are growing in popularity when considered in the framework of
functional data analysis (FDA). FDA is the data analysis paradigm in which the
individual data units are functions (e.g., curves, surfaces), rather than
simple vectors. In many areas of application, the analyzed data are indeed
often available in the form of discretized values of functions or curves (e.g.,
time series, waveforms) and surfaces (e.g., 2d-images, spatio-temporal data).
This functional aspect of the data adds additional difficulties compared to the
case of a classical multivariate (non-functional) data analysis. We review and
present approaches for model-based clustering and classification of functional
data. We derive well-established statistical models along with efficient
algorithmic tools to address problems regarding the clustering and the
classification of these high-dimensional data, including their heterogeneity,
missing information, and dynamical hidden structure. The presented models and
algorithms are illustrated on real-world functional data analysis problems from
several application area.
| stat.ML cs.LG stat.ME | the problem of complex data analysis is a central topic of modern statistical science and learning systems and is becoming of broader interest with the increasing prevalence of highdimensional data the challenge is to develop statistical models and autonomous algorithms that are able to acquire knowledge from raw data for exploratory analysis which can be achieved through clustering techniques or to make predictions of future data via classification ie discriminant analysis techniques latent data models including mixture modelbased approaches are one of the most popular and successful approaches in both the unsupervised context ie clustering and the supervised one ie classification or discrimination although traditionally tools of multivariate analysis they are growing in popularity when considered in the framework of functional data analysis fda fda is the data analysis paradigm in which the individual data units are functions eg curves surfaces rather than simple vectors in many areas of application the analyzed data are indeed often available in the form of discretized values of functions or curves eg time series waveforms and surfaces eg 2dimages spatiotemporal data this functional aspect of the data adds additional difficulties compared to the case of a classical multivariate nonfunctional data analysis we review and present approaches for modelbased clustering and classification of functional data we derive wellestablished statistical models along with efficient algorithmic tools to address problems regarding the clustering and the classification of these highdimensional data including their heterogeneity missing information and dynamical hidden structure the presented models and algorithms are illustrated on realworld functional data analysis problems from several application area | [['the', 'problem', 'of', 'complex', 'data', 'analysis', 'is', 'a', 'central', 'topic', 'of', 'modern', 'statistical', 'science', 'and', 'learning', 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1,803.00277 | Kelvin-Helmholtz instability in an atomic superfluid | We demonstrate an experimentally feasible method for generating the classical
Kelvin-Helmholtz instability in a single component atomic Bose-Einstein
condensate. By progressively reducing a potential barrier between two
counter-flowing channels we seed a line of quantised vortices, which precede to
form progressively larger clusters, mimicking the classical roll-up behaviour
of the Kelvin-Helmholtz instability. This cluster formation leads to an
effective superfluid shear layer, formed through the collective motion of many
quantised vortices. From this we demonstrate a straightforward method to
measure the effective viscosity of a turbulent quantum fluid in a system with a
moderate number of vortices, within the range of current experimental
capabilities.
| cond-mat.quant-gas physics.flu-dyn | we demonstrate an experimentally feasible method for generating the classical kelvinhelmholtz instability in a single component atomic boseeinstein condensate by progressively reducing a potential barrier between two counterflowing channels we seed a line of quantised vortices which precede to form progressively larger clusters mimicking the classical rollup behaviour of the kelvinhelmholtz instability this cluster formation leads to an effective superfluid shear layer formed through the collective motion of many quantised vortices from this we demonstrate a straightforward method to measure the effective viscosity of a turbulent quantum fluid in a system with a moderate number of vortices within the range of current experimental capabilities | [['we', 'demonstrate', 'an', 'experimentally', 'feasible', 'method', 'for', 'generating', 'the', 'classical', 'kelvinhelmholtz', 'instability', 'in', 'a', 'single', 'component', 'atomic', 'boseeinstein', 'condensate', 'by', 'progressively', 'reducing', 'a', 'potential', 'barrier', 'between', 'two', 'counterflowing', 'channels', 'we', 'seed', 'a', 'line', 'of', 'quantised', 'vortices', 'which', 'precede', 'to', 'form', 'progressively', 'larger', 'clusters', 'mimicking', 'the', 'classical', 'rollup', 'behaviour', 'of', 'the', 'kelvinhelmholtz', 'instability', 'this', 'cluster', 'formation', 'leads', 'to', 'an', 'effective', 'superfluid', 'shear', 'layer', 'formed', 'through', 'the', 'collective', 'motion', 'of', 'many', 'quantised', 'vortices', 'from', 'this', 'we', 'demonstrate', 'a', 'straightforward', 'method', 'to', 'measure', 'the', 'effective', 'viscosity', 'of', 'a', 'turbulent', 'quantum', 'fluid', 'in', 'a', 'system', 'with', 'a', 'moderate', 'number', 'of', 'vortices', 'within', 'the', 'range', 'of', 'current', 'experimental', 'capabilities']] | [-0.18425068706990436, 0.21325758096001943, -0.08727178421731178, 0.0410120853182609, -0.05100601836994219, -0.0852307225689471, 0.03973928982584486, 0.30268173321830827, -0.3051687210368422, -0.2658166625590708, 0.00951866842716789, -0.2183016369280477, -0.10693208739842074, 0.18592698550156245, 0.022733669634012934, 0.04713421359058255, 0.041434852372521376, -0.009441271901148586, 0.002454101197564831, -0.20306063869905372, 0.3078244144652182, 0.045620532203779124, 0.31639118562452495, 0.019907888302651163, 0.07863989915215196, -0.06552722540352708, 0.04631461519210671, 0.0552676324150525, -0.15157411149882066, 0.07684920879826397, 0.18523502550222196, 0.007377260128403298, 0.2850711174004783, -0.48821964709518045, -0.23127855747365034, 0.057349284286968984, 0.24271920404862612, 0.20141255388443824, -0.06960107461782172, -0.2726543186805569, 0.054439047091783814, -0.22466651518614247, -0.15694746024494705, -0.04183639080012934, 0.048798607351133026, 0.022412674832874194, -0.2637279654781406, 0.1362185406004965, 0.06528355435092145, 0.06415795537535675, -0.07938109316791479, -0.022478085924656346, -0.024563931931669895, 0.04213891078520996, 0.0130742809896429, 0.036091835517884016, 0.19332825474870893, -0.21501156376157618, -0.06388242831543231, 0.3619146618965225, -0.07928777464369957, -0.1626926814026844, 0.21258767847365773, -0.12434094897337043, -0.029171319380671214, 0.18610911906804317, 0.15279581069570178, 0.11338277640215193, -0.0795600847609771, -0.04015640152035233, -0.053739593570263915, 0.1590353126274959, 0.06883509951652601, 0.005594943914240083, 0.3084271965870777, 0.21816449705959082, 0.04951655676604087, 0.200242776714731, -0.12441543832224292, -0.12317469490629335, -0.2746162115945481, -0.15422370689339004, -0.14880202309219526, 0.009056065124101363, -0.06281621175674865, -0.20475334452035335, 0.3625942592021042, 0.1527928387726066, 0.2222375334923317, -0.007072908551960539, 0.29591159012097007, 0.10289860090527397, 0.09003540241862468, 0.048990717847258426, 0.254726852724651, 0.1627586061837904, 0.10795814770076853, -0.2923444991465658, -0.01105790790797283, 0.05804821461788379] |
1,803.00278 | A simple proof for Bernstein type theorems in Gauss space | A weighted area estimate for entire graphs with bounded weighted mean
curvature in Gauss space is given by a simple proof. Bernstein type theorems
for self shrinkers (\cite {wa}) as well as for graphic $\lambda$-hypersurfaces
(\cite{ chwe2}) follow immediately as consequences.
| math.DG | a weighted area estimate for entire graphs with bounded weighted mean curvature in gauss space is given by a simple proof bernstein type theorems for self shrinkers cite wa as well as for graphic lambdahypersurfaces cite chwe2 follow immediately as consequences | [['a', 'weighted', 'area', 'estimate', 'for', 'entire', 'graphs', 'with', 'bounded', 'weighted', 'mean', 'curvature', 'in', 'gauss', 'space', 'is', 'given', 'by', 'a', 'simple', 'proof', 'bernstein', 'type', 'theorems', 'for', 'self', 'shrinkers', 'cite', 'wa', 'as', 'well', 'as', 'for', 'graphic', 'lambdahypersurfaces', 'cite', 'chwe2', 'follow', 'immediately', 'as', 'consequences']] | [-0.03442924242990557, 0.08470921637490392, -0.03281106880749576, 0.17374946606869343, -0.15271342322230338, -0.13278774039354174, 0.013420475088059903, 0.3536891581490636, -0.2669096470810473, -0.23913833000697196, 0.1478620329493424, -0.22488933901768177, -0.13718373362935382, 0.28313814089633527, -0.1503031472209841, -0.022066268674097955, 0.04303363861981779, 0.12304187137633563, -0.03200516477227211, -0.24056032835505903, 0.3188126848079264, 0.004328804812394083, 0.15733701477292925, 0.1056723219313426, 0.07228782957536169, 0.06361489705741405, -0.049561481038108465, 0.045683632080181266, -0.206740735960193, 0.09884545845561661, 0.25888163049821744, 0.1506146104540676, 0.29614547395613045, -0.349650438548997, -0.2576680746860802, 0.1856578668579459, 0.15952254780277145, 0.004011351999361068, -0.01729450353886932, -0.24667306216433643, 0.0653495832812041, -0.09807835998944939, -0.22715927666286007, -0.05774977671680972, 0.07961648325435818, 0.13338596355170013, -0.26001551118679345, 0.12364634547848255, 0.13251663467672187, 0.09232966043055058, -0.08620337999891489, -0.1427577227819711, -0.0025581928493920714, 0.06320748227881268, -0.04709606089745648, 0.09353821948170662, 0.06064839414320886, -0.03916217058431357, -0.12366365524940193, 0.32855429593473673, -0.11096991321537644, -0.22649309770204126, 0.0032948869047686458, -0.046983869175892326, -0.14729491008911283, 0.05323877059854567, 0.10636601520236581, 0.1165661031845957, -0.10535762263461948, 0.11737954302225262, -0.07386497561819852, 0.04063031366094947, 0.1803354516858235, -0.011357389483600855, 0.11355816731229425, 0.06753433477133512, 0.16826372843934223, 0.1487716352334246, 0.05867554976139218, -0.06717914850451052, -0.40455324575304985, -0.20407180443871767, -0.25040090586990116, 0.10293376739136875, -0.15402936631580816, -0.26521770311519505, 0.31959643739974125, -0.06811031212564558, 0.19760267516248858, 0.22308611429762096, 0.2056825344916433, 0.08487367952766363, 0.03294564703246579, 0.09649701194139197, 0.17017213949002324, 0.2358950132096652, 0.1514380098786205, 0.014141002937685698, 0.022768885688856245, 0.2417178659594356] |
1,803.00279 | Constructions of genuinely entangled multipartite states with
applications to local hidden variables (LHV) and states (LHS) models | Building upon the results of [R. Augusiak et al., Phys. Rev. Lett. 115,
030404 (2015)] we develop a general approach to the generation of genuinely
entangled multipartite states of any number of parties from genuinely entangled
states of a fixed number of parties, in particular, the bipartite entangled
ones. In our approach, certain isometries whose output subspaces are either
symmetric or genuinely entangled in some multipartite Hilbert spaces are
applied to local subsystems of bipartite entangled or multipartite genuinely
entangled quantum states. To prove that entanglement of the resulting states is
indeed genuine we then introduce novel criteria allowing to decide it
efficiently. The construction is then exploited to provide examples of
multipartite states that are genuinely entangled but not genuinely nonlocal,
giving further illustration for the inequivalence between entanglement and
nonlocality in the multiparticle scenario. It is also shown how to construct
genuinely entangled states which are unsteerable across certain bipartite cuts.
| quant-ph | building upon the results of r augusiak et al phys rev lett 115 030404 2015 we develop a general approach to the generation of genuinely entangled multipartite states of any number of parties from genuinely entangled states of a fixed number of parties in particular the bipartite entangled ones in our approach certain isometries whose output subspaces are either symmetric or genuinely entangled in some multipartite hilbert spaces are applied to local subsystems of bipartite entangled or multipartite genuinely entangled quantum states to prove that entanglement of the resulting states is indeed genuine we then introduce novel criteria allowing to decide it efficiently the construction is then exploited to provide examples of multipartite states that are genuinely entangled but not genuinely nonlocal giving further illustration for the inequivalence between entanglement and nonlocality in the multiparticle scenario it is also shown how to construct genuinely entangled states which are unsteerable across certain bipartite cuts | [['building', 'upon', 'the', 'results', 'of', 'r', 'augusiak', 'et', 'al', 'phys', 'rev', 'lett', '115', '030404', '2015', 'we', 'develop', 'a', 'general', 'approach', 'to', 'the', 'generation', 'of', 'genuinely', 'entangled', 'multipartite', 'states', 'of', 'any', 'number', 'of', 'parties', 'from', 'genuinely', 'entangled', 'states', 'of', 'a', 'fixed', 'number', 'of', 'parties', 'in', 'particular', 'the', 'bipartite', 'entangled', 'ones', 'in', 'our', 'approach', 'certain', 'isometries', 'whose', 'output', 'subspaces', 'are', 'either', 'symmetric', 'or', 'genuinely', 'entangled', 'in', 'some', 'multipartite', 'hilbert', 'spaces', 'are', 'applied', 'to', 'local', 'subsystems', 'of', 'bipartite', 'entangled', 'or', 'multipartite', 'genuinely', 'entangled', 'quantum', 'states', 'to', 'prove', 'that', 'entanglement', 'of', 'the', 'resulting', 'states', 'is', 'indeed', 'genuine', 'we', 'then', 'introduce', 'novel', 'criteria', 'allowing', 'to', 'decide', 'it', 'efficiently', 'the', 'construction', 'is', 'then', 'exploited', 'to', 'provide', 'examples', 'of', 'multipartite', 'states', 'that', 'are', 'genuinely', 'entangled', 'but', 'not', 'genuinely', 'nonlocal', 'giving', 'further', 'illustration', 'for', 'the', 'inequivalence', 'between', 'entanglement', 'and', 'nonlocality', 'in', 'the', 'multiparticle', 'scenario', 'it', 'is', 'also', 'shown', 'how', 'to', 'construct', 'genuinely', 'entangled', 'states', 'which', 'are', 'unsteerable', 'across', 'certain', 'bipartite', 'cuts']] | [-0.1202914022884981, 0.23575557240493303, -0.11441447682629682, 0.052810616496380566, -0.005275566123217638, -0.2527138269506395, 0.04019739852810744, 0.33610418565130157, -0.2074724546584644, -0.27810608312536617, 0.012249356837281468, -0.2778322524207301, -0.12950647782264768, 0.1528831260572923, -0.08254625582393553, 0.09665324061260387, 0.07128851433088512, -0.011843723711966672, -0.027867927635701274, -0.33059877487310013, 0.35119628703442257, -0.02583939155431979, 0.28538730902303205, 0.05361963969373487, 0.06649673090310228, 0.024579296081547478, 0.01881659756365575, 0.011296077018701717, -0.1063819446469432, 0.1093186359847957, 0.3342624800402279, 0.19449716852518337, 0.25257662992532315, -0.37403172164800036, -0.1770625918731017, 0.2014649140290107, 0.0670002270183575, 0.21290039543237071, 0.038125579395503005, -0.3989094663411379, -0.008109723473592711, -0.19874798727649154, -0.11517949584767369, -0.1768732022763671, 0.05502671607169568, -0.09680435411313451, -0.28960671270646055, 0.14340025149603638, 0.08319410652314362, -0.021577686972082837, 0.05380423645960706, 0.012277185761424909, -0.07436916177271326, 0.055862777820469715, -0.1386442901551307, -0.01669590937672183, 0.0787873915423437, -0.08198676482520807, -0.21171884212832848, 0.31819373746034935, 0.03902575043742361, -0.2561079480694484, 0.24148309249262398, -0.1238174871909187, -0.16519932870716347, 0.033297759073320776, 0.14925058303082264, 0.1511158241651413, -0.11335922299277675, 0.012345510730627115, -0.12267868778986954, 0.17991967586491037, 0.0896635779093853, 0.19625548870757675, 0.1584996437641645, -0.017049127668877572, 0.1226597603986432, 0.2456808570530388, 0.03404275573637661, -0.15166131229259344, -0.3442768383415808, -0.19362696776289867, -0.27098632022419844, 0.11846873414019922, -0.03587873782539406, -0.1335097002843931, 0.4265846020640119, 0.11616024300057784, 0.12641054153975442, 0.014021203965584343, 0.18215281868010366, 0.03523246492458336, 0.009229943538206211, 0.14725938195816093, 0.2487966995481417, 0.17930859783480532, -0.0024998919229562346, -0.18574763883646628, 0.025640552317398896, 0.04183301631067144] |
1,803.0028 | Aging dynamics in quenched noisy long-range quantum Ising models | We consider the $d$-dimensional transverse-field Ising model with power-law
interactions $J/r^{d+\sigma}$ in the presence of a noisy longitudinal field
with zero average. We study the longitudinal-magnetization dynamics of an
initial paramagnetic state after a sudden switch-on of both the interactions
and the noisy field. While the system eventually relaxes to an
infinite-temperature state with vanishing magnetization correlations, we find
that two-time correlation functions show aging at intermediate times. Moreover,
for times shorter than the inverse noise strength $\kappa$ and distances longer
than $a(J/\kappa)^{2/\sigma}$ with $a$ being the lattice spacing, we find a
critical scaling regime of correlation and response functions consistent with
the model A dynamical universality class with an initial-slip exponent
$\theta=1$ and dynamical critical exponent $z=\sigma/2$. We obtain our results
analytically by deriving an effective action for the magnetization field
including the noise in a non-perturbative way. The above scaling regime is
governed by a non-equilibrium fixed point dominated by the noise fluctuations.
| cond-mat.str-el cond-mat.stat-mech quant-ph | we consider the ddimensional transversefield ising model with powerlaw interactions jrdsigma in the presence of a noisy longitudinal field with zero average we study the longitudinalmagnetization dynamics of an initial paramagnetic state after a sudden switchon of both the interactions and the noisy field while the system eventually relaxes to an infinitetemperature state with vanishing magnetization correlations we find that twotime correlation functions show aging at intermediate times moreover for times shorter than the inverse noise strength kappa and distances longer than ajkappa2sigma with a being the lattice spacing we find a critical scaling regime of correlation and response functions consistent with the model a dynamical universality class with an initialslip exponent theta1 and dynamical critical exponent zsigma2 we obtain our results analytically by deriving an effective action for the magnetization field including the noise in a nonperturbative way the above scaling regime is governed by a nonequilibrium fixed point dominated by the noise fluctuations | [['we', 'consider', 'the', 'ddimensional', 'transversefield', 'ising', 'model', 'with', 'powerlaw', 'interactions', 'jrdsigma', 'in', 'the', 'presence', 'of', 'a', 'noisy', 'longitudinal', 'field', 'with', 'zero', 'average', 'we', 'study', 'the', 'longitudinalmagnetization', 'dynamics', 'of', 'an', 'initial', 'paramagnetic', 'state', 'after', 'a', 'sudden', 'switchon', 'of', 'both', 'the', 'interactions', 'and', 'the', 'noisy', 'field', 'while', 'the', 'system', 'eventually', 'relaxes', 'to', 'an', 'infinitetemperature', 'state', 'with', 'vanishing', 'magnetization', 'correlations', 'we', 'find', 'that', 'twotime', 'correlation', 'functions', 'show', 'aging', 'at', 'intermediate', 'times', 'moreover', 'for', 'times', 'shorter', 'than', 'the', 'inverse', 'noise', 'strength', 'kappa', 'and', 'distances', 'longer', 'than', 'ajkappa2sigma', 'with', 'a', 'being', 'the', 'lattice', 'spacing', 'we', 'find', 'a', 'critical', 'scaling', 'regime', 'of', 'correlation', 'and', 'response', 'functions', 'consistent', 'with', 'the', 'model', 'a', 'dynamical', 'universality', 'class', 'with', 'an', 'initialslip', 'exponent', 'theta1', 'and', 'dynamical', 'critical', 'exponent', 'zsigma2', 'we', 'obtain', 'our', 'results', 'analytically', 'by', 'deriving', 'an', 'effective', 'action', 'for', 'the', 'magnetization', 'field', 'including', 'the', 'noise', 'in', 'a', 'nonperturbative', 'way', 'the', 'above', 'scaling', 'regime', 'is', 'governed', 'by', 'a', 'nonequilibrium', 'fixed', 'point', 'dominated', 'by', 'the', 'noise', 'fluctuations']] | [-0.1698664738642459, 0.21874814464545667, -0.09448820934939316, 0.06295422233705908, 0.03713271640694472, -0.16592353283402986, 0.051514842300768325, 0.33367171105219434, -0.24686448848559614, -0.24282078205728103, 0.07152572984110243, -0.29330483291356746, -0.1267759445931343, 0.17194489356660783, 0.06236056731828791, 0.037646093166784834, -0.006650208020644472, 0.03787715776996157, -0.10578751694819649, -0.18745305021185527, 0.32455232171403453, 0.042613976900249914, 0.2756004633030404, 0.020738253879533552, 0.087564495160855, 0.041159206574986264, 0.05626124122900124, 0.05271864959674067, -0.142089102715063, -0.009245412381032839, 0.13483051967881127, -0.02631808366527818, 0.2453996878505117, -0.3889897071219833, -0.22547349990006313, 0.11282827239021018, 0.14105209366060695, 0.13449253857178947, -0.0063338376163807235, -0.29378321200350166, 0.027551025073568255, -0.14442348047868897, -0.1645275119303522, -0.06693186639925304, 0.06306152440999196, 0.014879435211009907, -0.3303862330172248, 0.16897720609701375, 0.06880318219056476, 0.09508387217088449, -0.07506590079059762, -0.08065636142924897, 0.01427151401687586, 0.11761032841445891, 0.06423299451865427, 0.09122808408207994, 0.1559883369570783, -0.1922005895195245, -0.08992790033044726, 0.3048996240986104, -0.10386059394461683, -0.1458496503572023, 0.17921986479762422, -0.2023328113098265, -0.08741970842593158, 0.13979935807959232, 0.11323870952697533, 0.07270714894726577, -0.15258316928212415, 0.06734307054800308, 0.020280475601775955, 0.21036213017951555, -0.020660202964116504, 0.03741124254768554, 0.20247122992002806, 0.16468716904656677, 0.06133636605882684, 0.2023508025792779, -0.08601440868914029, -0.15569390405265504, -0.2972909437726862, -0.07532871372084941, -0.18440331387586448, 0.12816440088470893, -0.15405166162669795, -0.16119000844854786, 0.3885305630018478, 0.1773540788453588, 0.2217119010504557, 0.13588491813372203, 0.23574550658316407, 0.18774318279134147, 0.02514959476573627, 0.11646239450417262, 0.21404740911914616, 0.12689032464053804, 0.09332226592868517, -0.28662652024900576, 0.054091764604734464, 0.03501634138778148] |
1,803.00281 | Strong subgraph $k$-connectivity bounds | Let $D=(V,A)$ be a digraph of order $n$, $S$ a subset of $V$ of size $k$ and
$2\le k\leq n$. Strong subgraphs $D_1, \dots , D_p$ containing $S$ are said to
be internally disjoint if $V(D_i)\cap V(D_j)=S$ and $A(D_i)\cap
A(D_j)=\emptyset$ for all $1\le i<j\le p$. Let $\kappa_S(D)$ be the maximum
number of internally disjoint strong digraphs containing $S$ in $D$. The strong
subgraph $k$-connectivity is defined as $$\kappa_k(D)=\min\{\kappa_S(D)\mid
S\subseteq V, |S|=k\}.$$ A digraph $D=(V, A)$ is called minimally strong
subgraph $(k,\ell)$-connected if $\kappa_k(D)\geq \ell$ but for any arc $e\in
A$, $\kappa_k(D-e)\leq \ell-1$. In this paper, we first give a sharp upper
bound for the parameter $\kappa_k(D)$ and then study the minimally strong
subgraph $(k,\ell)$-connected digraphs.
| cs.DM math.CO | let dva be a digraph of order n s a subset of v of size k and 2le kleq n strong subgraphs d_1 dots d_p containing s are said to be internally disjoint if vd_icap vd_js and ad_icap ad_jemptyset for all 1le ijle p let kappa_sd be the maximum number of internally disjoint strong digraphs containing s in d the strong subgraph kconnectivity is defined as kappa_kdminkappa_sdmid ssubseteq v sk a digraph dv a is called minimally strong subgraph kellconnected if kappa_kdgeq ell but for any arc ein a kappa_kdeleq ell1 in this paper we first give a sharp upper bound for the parameter kappa_kd and then study the minimally strong subgraph kellconnected digraphs | [['let', 'dva', 'be', 'a', 'digraph', 'of', 'order', 'n', 's', 'a', 'subset', 'of', 'v', 'of', 'size', 'k', 'and', '2le', 'kleq', 'n', 'strong', 'subgraphs', 'd_1', 'dots', 'd_p', 'containing', 's', 'are', 'said', 'to', 'be', 'internally', 'disjoint', 'if', 'vd_icap', 'vd_js', 'and', 'ad_icap', 'ad_jemptyset', 'for', 'all', '1le', 'ijle', 'p', 'let', 'kappa_sd', 'be', 'the', 'maximum', 'number', 'of', 'internally', 'disjoint', 'strong', 'digraphs', 'containing', 's', 'in', 'd', 'the', 'strong', 'subgraph', 'kconnectivity', 'is', 'defined', 'as', 'kappa_kdminkappa_sdmid', 'ssubseteq', 'v', 'sk', 'a', 'digraph', 'dv', 'a', 'is', 'called', 'minimally', 'strong', 'subgraph', 'kellconnected', 'if', 'kappa_kdgeq', 'ell', 'but', 'for', 'any', 'arc', 'ein', 'a', 'kappa_kdeleq', 'ell1', 'in', 'this', 'paper', 'we', 'first', 'give', 'a', 'sharp', 'upper', 'bound', 'for', 'the', 'parameter', 'kappa_kd', 'and', 'then', 'study', 'the', 'minimally', 'strong', 'subgraph', 'kellconnected', 'digraphs']] | [-0.2563972145825335, 0.2024452676092392, 0.02675456960133991, -0.013986063215800208, -0.09202483708708031, -0.24706615090768025, 0.04955801918754553, 0.36125288495920527, -0.28593802585004313, -0.2490652568855332, 0.03917034816005927, -0.3975957885601567, -0.06731344153822029, 0.07445740891005663, -0.06847782570922982, -0.057750307060823354, 0.09591701384226892, 0.1532071869124125, 0.08388275024707167, -0.23976214015992015, 0.23579720560307568, -0.12406777898844296, 0.09768267742638449, 0.10481168439575625, 0.024300596681287857, 0.02115004455435623, 0.08987125434948909, 0.14665260292178256, -0.24218368598088189, 0.04517605533660615, 0.29609310050106163, 0.19648781860952527, 0.2777935709370282, -0.32569996207880164, -0.1530962737901046, 0.335289356479584, 0.14451470629660212, -0.05682716126897309, 0.06856848806305563, -0.22142431863529372, 0.2096046768128872, -0.10020731787821188, -0.059744107744936804, 0.007278188222169297, 0.21699775690882517, 0.02401078106085001, -0.4120448246706747, -0.017023696374256634, 0.15672279806079759, 0.06922287947144495, 0.11258958987168317, -0.18318205499271092, -0.07041939612007836, 0.01626714453716012, -0.11884675326404497, 0.17484002600952947, -0.040198506696999654, -0.06295469568508849, -0.11599858873297722, 0.35605797811763956, -0.08919042893753215, -0.1291977170565464, 0.052138360850151305, -0.16311444386696325, -0.14277949738451867, 0.11278360510850777, 0.09980185952905601, 0.19546915734530362, -0.09816091978081583, 0.2034366175569639, -0.14869238901883364, 0.13822991418136846, 0.12358116128400547, 0.02844732148952565, 0.12012145397913399, 0.08507721661929113, 0.21422083714741816, 0.15884439852111296, 0.015245145602712354, 0.16132826048392548, -0.3654414662747707, -0.10956864001837478, -0.22321968229184633, 0.13115950588372002, -0.1773082562220719, -0.18296266269408962, 0.32691084887850486, 0.040094054819455424, 0.2075010413322055, 0.09027550905689742, 0.17939869658931076, 0.029987765465935384, -0.007619561984664896, 0.21659333299556113, 0.0440291168475614, 0.2131783813780662, -0.13693321623739976, -0.20106910656034513, 0.05401035978739123, 0.17127275746767817] |
1,803.00282 | Strong electronic correlations and Fermi surface reconstruction in the
quasi-one dimensional iron superconductor BaFe2S3 | BaFe2S3 is a special iron superconductor with two-leg ladder structure which
can help to unravel the role played by the electronic correlations in high-Tc
superconductivity. At zero pressure it is insulating with stripe
antiferromagnetic (AF) order and superconductivity emerges under pressure. We
use a slave-spin technique to analyze the strength of the local correlations in
BaFe2S3. We find that at the pressure at which the superconductivity appears
the electronic correlations in BaFe2S3 are similar to the ones measured in
other iron superconductors. However, at zero pressure the strength of the
correlations is strongly enhanced, being particularly severe for the two
orbitals with the largest weight at the Fermi level what invalidates nesting as
the mechanism for AF. The system is not a Mott insulator at zero temperature,
but these two orbitals with mass enhancements m* ~ 12-15 will become incoherent
at higher temperatures. Different from what happens in other iron
superconductors, at both pressures, the Fermi surface is reconstructed by the
electronic correlations.
| cond-mat.supr-con cond-mat.str-el | bafe2s3 is a special iron superconductor with twoleg ladder structure which can help to unravel the role played by the electronic correlations in hightc superconductivity at zero pressure it is insulating with stripe antiferromagnetic af order and superconductivity emerges under pressure we use a slavespin technique to analyze the strength of the local correlations in bafe2s3 we find that at the pressure at which the superconductivity appears the electronic correlations in bafe2s3 are similar to the ones measured in other iron superconductors however at zero pressure the strength of the correlations is strongly enhanced being particularly severe for the two orbitals with the largest weight at the fermi level what invalidates nesting as the mechanism for af the system is not a mott insulator at zero temperature but these two orbitals with mass enhancements m 1215 will become incoherent at higher temperatures different from what happens in other iron superconductors at both pressures the fermi surface is reconstructed by the electronic correlations | [['bafe2s3', 'is', 'a', 'special', 'iron', 'superconductor', 'with', 'twoleg', 'ladder', 'structure', 'which', 'can', 'help', 'to', 'unravel', 'the', 'role', 'played', 'by', 'the', 'electronic', 'correlations', 'in', 'hightc', 'superconductivity', 'at', 'zero', 'pressure', 'it', 'is', 'insulating', 'with', 'stripe', 'antiferromagnetic', 'af', 'order', 'and', 'superconductivity', 'emerges', 'under', 'pressure', 'we', 'use', 'a', 'slavespin', 'technique', 'to', 'analyze', 'the', 'strength', 'of', 'the', 'local', 'correlations', 'in', 'bafe2s3', 'we', 'find', 'that', 'at', 'the', 'pressure', 'at', 'which', 'the', 'superconductivity', 'appears', 'the', 'electronic', 'correlations', 'in', 'bafe2s3', 'are', 'similar', 'to', 'the', 'ones', 'measured', 'in', 'other', 'iron', 'superconductors', 'however', 'at', 'zero', 'pressure', 'the', 'strength', 'of', 'the', 'correlations', 'is', 'strongly', 'enhanced', 'being', 'particularly', 'severe', 'for', 'the', 'two', 'orbitals', 'with', 'the', 'largest', 'weight', 'at', 'the', 'fermi', 'level', 'what', 'invalidates', 'nesting', 'as', 'the', 'mechanism', 'for', 'af', 'the', 'system', 'is', 'not', 'a', 'mott', 'insulator', 'at', 'zero', 'temperature', 'but', 'these', 'two', 'orbitals', 'with', 'mass', 'enhancements', 'm', '1215', 'will', 'become', 'incoherent', 'at', 'higher', 'temperatures', 'different', 'from', 'what', 'happens', 'in', 'other', 'iron', 'superconductors', 'at', 'both', 'pressures', 'the', 'fermi', 'surface', 'is', 'reconstructed', 'by', 'the', 'electronic', 'correlations']] | [-0.18534354254298693, 0.2373628171540245, -0.0564394624699712, 0.10550215055686019, -0.023064989901297253, -0.16338665030011332, 0.07305466637222303, 0.36578695148942464, -0.2653967015945387, -0.26207137760924704, 0.0020557425127157736, -0.3866082812231149, -0.0656485799987467, 0.13250453134762974, 0.0743201210991376, -0.04507146508137934, -0.0803418703791168, 0.03217380905752415, -0.16966796624847907, -0.2499371787208351, 0.3668178760757049, 0.056580405905814035, 0.3295515706291261, 0.0843949221648753, 0.000326000498952689, -0.03189926951933928, 0.14082350553391376, 0.028060868362332753, -0.11911741886339129, 0.02195471128517831, 0.3205199050573333, -0.09877300058652497, 0.2264873477196275, -0.3981744435581344, -0.20593250390389406, 0.00588041911603032, 0.10947124062991345, 0.13548241997925264, -0.026992745790918024, -0.26247383524839085, 0.04586371396924081, -0.15158590974780606, -0.13894418613262255, -0.06882291616856503, -0.04501984186505002, -0.047699327492241365, -0.2210434684605355, 0.10950239277071101, 0.046807887596020725, 0.1138518980278829, -0.07418716183639373, -0.1407188936733112, -0.09491222820325214, 0.045691861765298214, 0.05310047820158717, 0.09169897277365915, 0.13050050677639652, -0.13369065404720146, -0.04358045593404246, 0.35963176632369004, -0.04240151373655133, -0.06843402077599119, 0.21478891344223586, -0.2193070197891858, -0.10218419623848649, 0.1873937184831852, 0.06665894447270361, 0.010758701253417925, -0.12616957165911669, 0.03970147825505895, -0.002064727453721894, 0.16483071617233094, 0.015208717816463315, 0.09796709131253999, 0.2743936359888104, 0.1767808339000898, 0.06179102204947008, 0.09955929713553668, -0.13336786495400937, -0.03487013315100706, -0.21844108908632656, -0.14238645669710995, -0.19616715876201604, 0.007207047380812403, -0.04043026544420655, -0.16334201916793567, 0.35660156554737943, 0.16935142990558144, 0.18458505366629932, -0.08934105144250264, 0.21555774280927892, 0.10882251952280955, 0.1001592528464468, 0.07308035255064843, 0.26049117727009696, 0.14232711862689343, 0.12544955864453827, -0.303837263791385, 0.127067338378653, 0.04491014984856003] |
1,803.00283 | Evolutionary Games for Correlation-Aware Clustering in Massive
Machine-to-Machine Networks | In this paper, the problem of self-organizing, correlation-aware clustering
is studied for a dense network of machine-type devices (MTDs) deployed over a
cellular network. In dense machine-to-machine networks, MTDs are typically
located within close proximity and will gather correlated data, and, thus,
clustering MTDs based on data correlation will lead to a decrease in the number
of redundant bits transmitted to the base station. To analyze this clustering
problem, a novel utility function that captures the average MTD transmission
power per cluster is derived, as a function of the MTD location, cluster size,
and inter-cluster interference. Then, the clustering problem is formulated as
an evolutionary game, which models the interactions among the massive number of
MTDs, in order to decrease MTD transmission power. To solve this game, a
distributed algorithm is proposed to allow the infinite number of MTDs to
autonomously form clusters. It is shown that the proposed distributed algorithm
converges to an evolutionary stable strategy (ESS), that is robust to a small
portion of MTDs deviating from the stable cluster formation at convergence. The
maximum fraction of MTDs that can deviate from the ESS, while still maintaining
a stable cluster formation is derived. Simulation results show that the
proposed approach can effectively cluster MTDs with highly correlated data,
which, in turn, enables those MTDs to eliminate a large number of redundant
bits. The results show that, on average, using the proposed approach yields
reductions of up to 23.4% and 9.6% in terms of the transmit power per cluster,
compared to forming clusters with the maximum possible size and uniformly
selecting a cluster size, respectively.
| cs.GT cs.IT math.IT | in this paper the problem of selforganizing correlationaware clustering is studied for a dense network of machinetype devices mtds deployed over a cellular network in dense machinetomachine networks mtds are typically located within close proximity and will gather correlated data and thus clustering mtds based on data correlation will lead to a decrease in the number of redundant bits transmitted to the base station to analyze this clustering problem a novel utility function that captures the average mtd transmission power per cluster is derived as a function of the mtd location cluster size and intercluster interference then the clustering problem is formulated as an evolutionary game which models the interactions among the massive number of mtds in order to decrease mtd transmission power to solve this game a distributed algorithm is proposed to allow the infinite number of mtds to autonomously form clusters it is shown that the proposed distributed algorithm converges to an evolutionary stable strategy ess that is robust to a small portion of mtds deviating from the stable cluster formation at convergence the maximum fraction of mtds that can deviate from the ess while still maintaining a stable cluster formation is derived simulation results show that the proposed approach can effectively cluster mtds with highly correlated data which in turn enables those mtds to eliminate a large number of redundant bits the results show that on average using the proposed approach yields reductions of up to 234 and 96 in terms of the transmit power per cluster compared to forming clusters with the maximum possible size and uniformly selecting a cluster size respectively | [['in', 'this', 'paper', 'the', 'problem', 'of', 'selforganizing', 'correlationaware', 'clustering', 'is', 'studied', 'for', 'a', 'dense', 'network', 'of', 'machinetype', 'devices', 'mtds', 'deployed', 'over', 'a', 'cellular', 'network', 'in', 'dense', 'machinetomachine', 'networks', 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1,803.00284 | Strong Subgraph $k$-connectivity | Generalized connectivity introduced by Hager (1985) has been studied
extensively in undirected graphs and become an established area in undirected
graph theory. For connectivity problems, directed graphs can be considered as
generalizations of undirected graphs. In this paper, we introduce a natural
extension of generalized $k$-connectivity of undirected graphs to directed
graphs (we call it strong subgraph $k$-connectivity) by replacing connectivity
with strong connectivity. We prove NP-completeness results and the existence of
polynomial algorithms. We show that strong subgraph $k$--connectivity is, in a
sense, harder to compute than generalized $k$-connectivity. However, strong
subgraph $k$-connectivity can be computed in polynomial time for semicomplete
digraphs and symmetric digraphs. We also provide sharp bounds on strong
subgraph $k$-connectivity and pose some open questions.
| cs.DM math.CO | generalized connectivity introduced by hager 1985 has been studied extensively in undirected graphs and become an established area in undirected graph theory for connectivity problems directed graphs can be considered as generalizations of undirected graphs in this paper we introduce a natural extension of generalized kconnectivity of undirected graphs to directed graphs we call it strong subgraph kconnectivity by replacing connectivity with strong connectivity we prove npcompleteness results and the existence of polynomial algorithms we show that strong subgraph kconnectivity is in a sense harder to compute than generalized kconnectivity however strong subgraph kconnectivity can be computed in polynomial time for semicomplete digraphs and symmetric digraphs we also provide sharp bounds on strong subgraph kconnectivity and pose some open questions | [['generalized', 'connectivity', 'introduced', 'by', 'hager', '1985', 'has', 'been', 'studied', 'extensively', 'in', 'undirected', 'graphs', 'and', 'become', 'an', 'established', 'area', 'in', 'undirected', 'graph', 'theory', 'for', 'connectivity', 'problems', 'directed', 'graphs', 'can', 'be', 'considered', 'as', 'generalizations', 'of', 'undirected', 'graphs', 'in', 'this', 'paper', 'we', 'introduce', 'a', 'natural', 'extension', 'of', 'generalized', 'kconnectivity', 'of', 'undirected', 'graphs', 'to', 'directed', 'graphs', 'we', 'call', 'it', 'strong', 'subgraph', 'kconnectivity', 'by', 'replacing', 'connectivity', 'with', 'strong', 'connectivity', 'we', 'prove', 'npcompleteness', 'results', 'and', 'the', 'existence', 'of', 'polynomial', 'algorithms', 'we', 'show', 'that', 'strong', 'subgraph', 'kconnectivity', 'is', 'in', 'a', 'sense', 'harder', 'to', 'compute', 'than', 'generalized', 'kconnectivity', 'however', 'strong', 'subgraph', 'kconnectivity', 'can', 'be', 'computed', 'in', 'polynomial', 'time', 'for', 'semicomplete', 'digraphs', 'and', 'symmetric', 'digraphs', 'we', 'also', 'provide', 'sharp', 'bounds', 'on', 'strong', 'subgraph', 'kconnectivity', 'and', 'pose', 'some', 'open', 'questions']] | [-0.1890090728236828, 0.07546193216803658, 0.001039083550373713, 0.13654310594623287, -0.16500111369726558, -0.17681768985542778, 0.027685209724586456, 0.47039409799811743, -0.2949414236781498, -0.32334356824091326, 0.0848531142747864, -0.26697807101688037, -0.24626201905775816, 0.09518485947822532, -0.1764528416232982, 0.058968827671681844, 0.13099783251139646, 0.08208638130672626, 0.09559123826911672, -0.24892764537095596, 0.2696019533206709, 0.004010706651994648, 0.18473263566847892, 0.1903240647050552, 0.012781075694753478, 0.029740476173659165, 0.020927841084388395, 0.21434568223776296, -0.2235183827795481, 0.08202457471440236, 0.31815315581237275, 0.17975217531202362, 0.23097223692263166, -0.4195277386189749, -0.22564699493038157, 0.281759157202517, 0.12780660135516275, 0.04368225435124865, 0.003828175110781255, -0.2841812869689117, 0.16084439283004032, -0.1271342358396699, -0.04939641501987353, -0.05243730384390801, 0.09788956078700721, 0.029221598884517638, -0.29682761992250256, 0.019511439513250177, 0.1599455603553603, 0.0781852594926022, 0.07764383805139612, -0.1347917347738985, 0.03877237787625442, 0.06040375243950014, -0.09404899301977518, 0.049725488048958745, -0.019589299937554944, -0.14012526256459143, -0.27008701747690794, 0.32703502990771083, -0.021104972552105514, -0.12950974703902224, 0.10011025494119773, -0.04930943449338277, -0.287236733121487, 0.02645352315157652, 0.1400139441830106, 0.14872589336397748, -0.1405292655651768, 0.13899908974417485, -0.15745367781880001, 0.05382422987992565, 0.14837638749741017, 0.02441310837942486, 0.03251625298677633, 0.14282250188601514, 0.23244393372442573, 0.24567368314601482, 0.08293610322483194, -0.02973891170695424, -0.18129238981443146, -0.05789065959397703, -0.2383679670553344, 0.04742466951914442, -0.23183961277779114, -0.21491010228540594, 0.4237772515936134, 0.12156628087783854, 0.12936464176358034, 0.18826486978602286, 0.18366765976922275, 0.08602151512847438, 0.006017327995505184, 0.2562111136309492, 0.14237985082363594, 0.2709055998828262, 0.01598896333404506, -0.10234771702768436, 0.1305757277548158, 0.19870903680566698] |
1,803.00285 | How measurement protocols influence the dynamic J-V characteristics of
perovskite solar cells: theory and experiment | The dynamic effects observed in the J-V measurements represent one important
hallmark in the behavior of the perovskite solar cells. Proper measurement
protocols (MPs) should be employed for the experimental data reproducibility,
in particular for a reliable evaluation of the power conversion efficiency
(PCE), as well as for a meaningful characterization of the type and magnitude
of the hysteresis. We discuss here several MPs by comparing the experimental
J-V characteristics with simulated ones using the dynamic electrical model
(DEM). Pre-poling conditions and bias scan rate can have a dramatic influence
not only on the apparent solar cell performance, but also on the hysteretic
phenomena. Under certain measurement conditions, a hysteresis-free behavior
with relatively high PCEs may be observed, although the J-V characteristics may
be far away from the stationary case. Furthermore, forward-reverse and
reverse-forward bias scans show qualitatively different behaviors regarding the
type of the hysteresis, normal and inverted, depending on the bias pre-poling.
We emphasize here that correlated forward-reverse or reverse-forward bias scans
are essential for a correct assessment of the dynamic hysteresis. In this
context, we define a hysteresis index which consistently assigns the hysteresis
type and magnitude. Our DEM simulations, supported by experimental data,
provide further guidance for an efficient and accurate determination of the
stationary J-V characteristics, showing that the type and magnitude of the
dynamic hysteresis may be affected by unintentional pre-conditioning in typical
experiments.
| cond-mat.mes-hall cond-mat.mtrl-sci | the dynamic effects observed in the jv measurements represent one important hallmark in the behavior of the perovskite solar cells proper measurement protocols mps should be employed for the experimental data reproducibility in particular for a reliable evaluation of the power conversion efficiency pce as well as for a meaningful characterization of the type and magnitude of the hysteresis we discuss here several mps by comparing the experimental jv characteristics with simulated ones using the dynamic electrical model dem prepoling conditions and bias scan rate can have a dramatic influence not only on the apparent solar cell performance but also on the hysteretic phenomena under certain measurement conditions a hysteresisfree behavior with relatively high pces may be observed although the jv characteristics may be far away from the stationary case furthermore forwardreverse and reverseforward bias scans show qualitatively different behaviors regarding the type of the hysteresis normal and inverted depending on the bias prepoling we emphasize here that correlated forwardreverse or reverseforward bias scans are essential for a correct assessment of the dynamic hysteresis in this context we define a hysteresis index which consistently assigns the hysteresis type and magnitude our dem simulations supported by experimental data provide further guidance for an efficient and accurate determination of the stationary jv characteristics showing that the type and magnitude of the dynamic hysteresis may be affected by unintentional preconditioning in typical experiments | [['the', 'dynamic', 'effects', 'observed', 'in', 'the', 'jv', 'measurements', 'represent', 'one', 'important', 'hallmark', 'in', 'the', 'behavior', 'of', 'the', 'perovskite', 'solar', 'cells', 'proper', 'measurement', 'protocols', 'mps', 'should', 'be', 'employed', 'for', 'the', 'experimental', 'data', 'reproducibility', 'in', 'particular', 'for', 'a', 'reliable', 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1,803.00286 | (0,2) versions of exotic (2,2) GLSMs | In this paper we extend work on exotic two-dimensional (2,2) supersymmetric
gauged linear sigma models (GLSMs) in which, for example, geometries arise via
nonperturbative effects, to (0,2) theories, and in so doing find some novel
(0,2) GLSM phenomena. For one example, we describe examples in which bundles
are constructed physically as cohomologies of short complexes involving torsion
sheaves, a novel effect not previuosly seen in (0,2) GLSMs. We also describe
examples related by RG flow in which the physical ralizations of the bundles
are related by quasi-isomorphism, analogous to the physical realization of
quasi-isomorphisms in D-branes and derived categories, but novel in (0,2)
GLSMs. Finally, we also discuss (0,2) deformations in various duality frames of
other examples.
| hep-th | in this paper we extend work on exotic twodimensional 22 supersymmetric gauged linear sigma models glsms in which for example geometries arise via nonperturbative effects to 02 theories and in so doing find some novel 02 glsm phenomena for one example we describe examples in which bundles are constructed physically as cohomologies of short complexes involving torsion sheaves a novel effect not previuosly seen in 02 glsms we also describe examples related by rg flow in which the physical ralizations of the bundles are related by quasiisomorphism analogous to the physical realization of quasiisomorphisms in dbranes and derived categories but novel in 02 glsms finally we also discuss 02 deformations in various duality frames of other examples | [['in', 'this', 'paper', 'we', 'extend', 'work', 'on', 'exotic', 'twodimensional', '22', 'supersymmetric', 'gauged', 'linear', 'sigma', 'models', 'glsms', 'in', 'which', 'for', 'example', 'geometries', 'arise', 'via', 'nonperturbative', 'effects', 'to', '02', 'theories', 'and', 'in', 'so', 'doing', 'find', 'some', 'novel', '02', 'glsm', 'phenomena', 'for', 'one', 'example', 'we', 'describe', 'examples', 'in', 'which', 'bundles', 'are', 'constructed', 'physically', 'as', 'cohomologies', 'of', 'short', 'complexes', 'involving', 'torsion', 'sheaves', 'a', 'novel', 'effect', 'not', 'previuosly', 'seen', 'in', '02', 'glsms', 'we', 'also', 'describe', 'examples', 'related', 'by', 'rg', 'flow', 'in', 'which', 'the', 'physical', 'ralizations', 'of', 'the', 'bundles', 'are', 'related', 'by', 'quasiisomorphism', 'analogous', 'to', 'the', 'physical', 'realization', 'of', 'quasiisomorphisms', 'in', 'dbranes', 'and', 'derived', 'categories', 'but', 'novel', 'in', '02', 'glsms', 'finally', 'we', 'also', 'discuss', '02', 'deformations', 'in', 'various', 'duality', 'frames', 'of', 'other', 'examples']] | [-0.11066980505888553, 0.12910224679027402, -0.030084317622949247, 0.14455977841381631, -0.07416033689742503, -0.18640497434965295, -0.031759533414657676, 0.36970114994632164, -0.2666498457567523, -0.2756555674678606, 0.09826675528032786, -0.22962889400027367, -0.24832997572324847, 0.19118881607833116, -0.1608326997142285, -0.006799452796416438, -0.032617284342363155, -0.0015521626595569693, -0.1301313185699932, -0.2298884426243603, 0.3727150156122187, -0.044629739807999655, 0.22014328325572222, 0.05301936265465844, 0.07610666201773869, -0.04970984516726078, -0.026708324933829516, 0.017575046671149522, -0.2056447344062769, 0.1252938819239321, 0.3199477439558035, 0.024472482980269453, 0.1116823950053557, -0.42800108994478764, -0.22568952687408614, 0.08858547075854048, 0.14887502687153123, 0.12671491172184926, -0.05759428885016266, -0.2668620402033886, 0.047008225702397204, -0.20339764561504126, -0.13019510715309043, -0.11777353499530126, 0.0178822397051946, -0.013270298015002324, -0.1906305145998688, 0.04987510489046817, 0.03900098871115757, 0.10564939394066838, -0.08047383768767442, -0.08035599202039125, -0.05983372711799229, 0.03407532028125032, 0.05806240494484487, -0.0009475717685468819, 0.11255857418493732, -0.16301523803976242, -0.1776450601203934, 0.38414843565096024, -0.052535931412231826, -0.2492290082509103, 0.17666049661195796, -0.1041951905126157, -0.23235372291351467, 0.10404316516917037, 0.13064181227439448, 0.17549014269050373, -0.10084632731083294, 0.1154469872450294, -0.07150845787609401, 0.07147274897231357, 0.06362143487305097, 0.0608722406277514, 0.21025023161960038, 0.11374545959026917, 0.004841340859623059, 0.1369953613125962, -0.02555567548286332, -0.09965638893292002, -0.41188899488188324, -0.15141150085660426, -0.013358493242412806, 0.1309279265409872, -0.07511952687434488, -0.11692775187851942, 0.39190973939131135, 0.15231184366604555, 0.24907288165439082, 0.059225725673098605, 0.18297102997160475, 0.03061741129596434, 0.06441941392688971, -0.013211860957191042, 0.24033663275818665, 0.1775658888944789, 0.029968023089611013, -0.11089538603909718, -0.11915703643133621, 0.1586693996725523] |
1,803.00287 | Hydrogen embrittlement controlled by reaction of dislocation with grain
boundary in alpha-iron | Hydrogen atoms absorbed by metals in the hydrogen-containing environments can
lead to the premature fracture of the metal components used in load-bearing
conditions. Since metals used in practice are mostly polycrystalline, grain
boundaries (GBs) can play an important role in hydrogen embrittlement of
metals. Here we show that the reaction of GB with lattice dislocations is a key
component in hydrogen embrittlement mechanism for polycrystalline metals. We
use atomistic modeling methods to investigate the mechanical response of GBs in
alpha-iron with various hydrogen concentrations. Analysis indicates that
dislocations impingement and emission on the GB cause the GB to locally
transform into an activated state with a more disordered atomistic structure,
and introduce a local stress concentration. The activation of the GB segregated
with hydrogen atoms can greatly facilitate decohesion of the GB. We show that
the hydrogen embrittlement model proposed here can give better explanation of
many experimental observations.
| cond-mat.mtrl-sci | hydrogen atoms absorbed by metals in the hydrogencontaining environments can lead to the premature fracture of the metal components used in loadbearing conditions since metals used in practice are mostly polycrystalline grain boundaries gbs can play an important role in hydrogen embrittlement of metals here we show that the reaction of gb with lattice dislocations is a key component in hydrogen embrittlement mechanism for polycrystalline metals we use atomistic modeling methods to investigate the mechanical response of gbs in alphairon with various hydrogen concentrations analysis indicates that dislocations impingement and emission on the gb cause the gb to locally transform into an activated state with a more disordered atomistic structure and introduce a local stress concentration the activation of the gb segregated with hydrogen atoms can greatly facilitate decohesion of the gb we show that the hydrogen embrittlement model proposed here can give better explanation of many experimental observations | [['hydrogen', 'atoms', 'absorbed', 'by', 'metals', 'in', 'the', 'hydrogencontaining', 'environments', 'can', 'lead', 'to', 'the', 'premature', 'fracture', 'of', 'the', 'metal', 'components', 'used', 'in', 'loadbearing', 'conditions', 'since', 'metals', 'used', 'in', 'practice', 'are', 'mostly', 'polycrystalline', 'grain', 'boundaries', 'gbs', 'can', 'play', 'an', 'important', 'role', 'in', 'hydrogen', 'embrittlement', 'of', 'metals', 'here', 'we', 'show', 'that', 'the', 'reaction', 'of', 'gb', 'with', 'lattice', 'dislocations', 'is', 'a', 'key', 'component', 'in', 'hydrogen', 'embrittlement', 'mechanism', 'for', 'polycrystalline', 'metals', 'we', 'use', 'atomistic', 'modeling', 'methods', 'to', 'investigate', 'the', 'mechanical', 'response', 'of', 'gbs', 'in', 'alphairon', 'with', 'various', 'hydrogen', 'concentrations', 'analysis', 'indicates', 'that', 'dislocations', 'impingement', 'and', 'emission', 'on', 'the', 'gb', 'cause', 'the', 'gb', 'to', 'locally', 'transform', 'into', 'an', 'activated', 'state', 'with', 'a', 'more', 'disordered', 'atomistic', 'structure', 'and', 'introduce', 'a', 'local', 'stress', 'concentration', 'the', 'activation', 'of', 'the', 'gb', 'segregated', 'with', 'hydrogen', 'atoms', 'can', 'greatly', 'facilitate', 'decohesion', 'of', 'the', 'gb', 'we', 'show', 'that', 'the', 'hydrogen', 'embrittlement', 'model', 'proposed', 'here', 'can', 'give', 'better', 'explanation', 'of', 'many', 'experimental', 'observations']] | [-0.06695245363165143, 0.1449685372451661, -0.04243703964404643, -0.0032614499491470674, 0.009510462236396918, -0.08735840906382807, 0.06810863142608096, 0.4310337750134902, -0.25264099657835576, -0.2610684413862908, 0.018958353407793498, -0.2661883986161259, -0.15128288439306237, 0.1455728322503488, 0.0024218479008882637, -0.018472337857788842, 0.03467921231367044, -0.07927443262427145, -0.03670143419657928, -0.24242653737849423, 0.25247005588412536, 0.08702978247076573, 0.32565932002718617, 0.09665299512308416, 0.008841862820788918, -0.05232738389714852, 0.04539102138388877, 0.013922114797161529, -0.17232882080129122, 0.11883339464614455, 0.2759649618310016, -0.03298781657491454, 0.2025295041908585, -0.5629019166074143, -0.2711562102304259, 0.052003517003117394, 0.12264822290166462, 0.16133891975318845, -0.08585372124144248, -0.21161521119049956, 0.049152027751512874, -0.11257869412266218, -0.10035133536361258, -0.047573353776445726, 0.007319846971823065, 0.028060991897547755, -0.23517343901205595, 0.1090062252470861, 0.07253229684908773, 0.05657985041874317, -0.14081749864760162, -0.12465551688067066, -0.11190283202625587, 0.0539713150434096, 0.014323454972937853, -0.01088006755133197, 0.2561713585961335, -0.11636110988676848, -0.060825537087789566, 0.46256244959014364, -0.04684466696750598, -0.11134215727004679, 0.21698780334398352, -0.12275486457710086, -0.1217907289005566, 0.19978363734463717, 0.15587156471302546, 0.06564104187633567, -0.14284148306043618, 0.021410756865547557, 0.035402573726371234, 0.18573454787154625, 0.05537111513104115, 0.014149013920780896, 0.21990406565093154, 0.21621181815862656, -0.01376935427985193, 0.1597173382346862, -0.12125406881650572, -0.04004815447764571, -0.22647943917736912, -0.24497025450004029, -0.1504742351294989, 0.06861377395662141, -0.09317915221881715, -0.2017554728526797, 0.2981542451838469, 0.1472436245624601, 0.16968752107826757, -0.08272900580172271, 0.19830610220251768, 0.04787926848168366, 0.09007511179794202, 0.026148437391091513, 0.2185381245752484, 0.1570221037750801, 0.09212390986902502, -0.26034189569732585, 0.16635187133215368, 0.018334031583203764] |
1,803.00288 | Lattice induced crystallization of nanodroplets: the role of finite-size
effects and substrate properties in controlling polymorphism | Targeting specific technological applications requires the control of
nanoparticle properties, especially the crystalline polymorph. Freezing a
nanodroplet deposited on a solid substrate leads to the formation of
crystalline structures. We study the inherent mechanisms underlying this
general phenomenon by means of molecular dynamics simulations. Our work shows
that different crystal structures can be selected by finely tuning the solid
substrate lattice parameter. Indeed, while for our system, face-centered cubic
is usually the most preponderant structure, the growth of two distinct
polymorphs, hexagonal centered packing and body-centered cubic, was also
observed even when the solid substrate was face-centered cubic. Finally, we
also demonstrated that the growth of hexagonal centered packing is conditioned
by the appearance of large enough body-centered cubic clusters thus suggesting
the presence of a cross-nucleation pathway. Our results provide insights into
the impact of nanoscale effects and solid substrate properties towards the
growth of polymorphic nanomaterials.
| cond-mat.soft cond-mat.mes-hall cond-mat.mtrl-sci | targeting specific technological applications requires the control of nanoparticle properties especially the crystalline polymorph freezing a nanodroplet deposited on a solid substrate leads to the formation of crystalline structures we study the inherent mechanisms underlying this general phenomenon by means of molecular dynamics simulations our work shows that different crystal structures can be selected by finely tuning the solid substrate lattice parameter indeed while for our system facecentered cubic is usually the most preponderant structure the growth of two distinct polymorphs hexagonal centered packing and bodycentered cubic was also observed even when the solid substrate was facecentered cubic finally we also demonstrated that the growth of hexagonal centered packing is conditioned by the appearance of large enough bodycentered cubic clusters thus suggesting the presence of a crossnucleation pathway our results provide insights into the impact of nanoscale effects and solid substrate properties towards the growth of polymorphic nanomaterials | [['targeting', 'specific', 'technological', 'applications', 'requires', 'the', 'control', 'of', 'nanoparticle', 'properties', 'especially', 'the', 'crystalline', 'polymorph', 'freezing', 'a', 'nanodroplet', 'deposited', 'on', 'a', 'solid', 'substrate', 'leads', 'to', 'the', 'formation', 'of', 'crystalline', 'structures', 'we', 'study', 'the', 'inherent', 'mechanisms', 'underlying', 'this', 'general', 'phenomenon', 'by', 'means', 'of', 'molecular', 'dynamics', 'simulations', 'our', 'work', 'shows', 'that', 'different', 'crystal', 'structures', 'can', 'be', 'selected', 'by', 'finely', 'tuning', 'the', 'solid', 'substrate', 'lattice', 'parameter', 'indeed', 'while', 'for', 'our', 'system', 'facecentered', 'cubic', 'is', 'usually', 'the', 'most', 'preponderant', 'structure', 'the', 'growth', 'of', 'two', 'distinct', 'polymorphs', 'hexagonal', 'centered', 'packing', 'and', 'bodycentered', 'cubic', 'was', 'also', 'observed', 'even', 'when', 'the', 'solid', 'substrate', 'was', 'facecentered', 'cubic', 'finally', 'we', 'also', 'demonstrated', 'that', 'the', 'growth', 'of', 'hexagonal', 'centered', 'packing', 'is', 'conditioned', 'by', 'the', 'appearance', 'of', 'large', 'enough', 'bodycentered', 'cubic', 'clusters', 'thus', 'suggesting', 'the', 'presence', 'of', 'a', 'crossnucleation', 'pathway', 'our', 'results', 'provide', 'insights', 'into', 'the', 'impact', 'of', 'nanoscale', 'effects', 'and', 'solid', 'substrate', 'properties', 'towards', 'the', 'growth', 'of', 'polymorphic', 'nanomaterials']] | [-0.11469700609014662, 0.18582319468576589, -0.07801448960762031, -0.03352062837426633, -0.09128712873183648, -0.12138756979446934, 0.07880982865981732, 0.4245653794286456, -0.2730566118313253, -0.2816286129705912, 0.08459600236989101, -0.2631726344432809, -0.2029917874582568, 0.1586392719273259, 0.048302903231333835, 0.028239796171954764, 0.007621440197797302, -0.08853792067166563, -0.058669037716209786, -0.27104027613484283, 0.262413822807416, 0.064791408474961, 0.339726436173632, 0.08019256570256081, 0.0666934237261081, -0.03252413821229268, 0.10856623414960899, 0.035698248770366724, -0.21565401617829216, 0.12496248340324442, 0.197658829869335, -0.0539511916183884, 0.22419396319527965, -0.4807802740560502, -0.2548393920748209, 0.035312762031409664, 0.10079758447677302, 0.1373411899632109, -0.14181544000463447, -0.21184183431624556, 0.07689304604847617, -0.06632826662761773, -0.14733264066590168, -0.07861286568214648, -0.028102427945934795, 0.04257749619523101, -0.18685039371564086, 0.06006891705170211, 0.10112713818710779, 0.07411873753683097, -0.1117808646902594, -0.1321182171006364, -0.12691642966305167, 0.0752664083699287, -0.014799122305802341, 0.0015922998684794218, 0.21379756997814592, -0.10866517679239972, -0.08348725196037467, 0.4760169097900289, 0.023804325570406227, -0.11510514049839504, 0.20855690064035406, -0.18420009347641852, -0.12633951700159482, 0.19762331703804484, 0.15982421459337112, 0.08443789129924713, -0.12671712934062104, 0.06406274001940856, 0.0021779070716021823, 0.23474968966970944, 0.0872138126050027, 0.013396736416968891, 0.22744246093606968, 0.27728855581225537, 0.02185212347504436, 0.20980171272990478, -0.0735576069505163, -0.1034351113730674, -0.19305869254923494, -0.17458322667041604, -0.20698716180544777, 0.03378070514573126, -0.16322212227518024, -0.22526849998275236, 0.36561110418695375, 0.03930268589524809, 0.16478015975329746, -0.049633191073262674, 0.18852348653536263, -0.004403606634492016, 0.0889836523656537, -0.03787002639629606, 0.22932790711420734, 0.12499989466393227, 0.06020893896993275, -0.24007266412685518, 0.14537298488890005, 0.013585826226820549] |
1,803.00289 | A New Two-Dimensional Functional Material with Desirable Bandgap and
Ultrahigh Carrier Mobility | Two-dimensional (2D) semiconductors with direct and modest bandgap and
ultrahigh carrier mobility are highly desired functional materials for
nanoelectronic applications. Herein, we predict that monolayer CaP3 is a new 2D
functional material that possesses not only a direct bandgap of 1.15 eV (based
on HSE06 computation), and also a very high electron mobility up to 19930 cm2
V-1 s-1, comparable to that of monolayer phosphorene. More remarkably, contrary
to the bilayer phosphorene which possesses dramatically reduced carrier
mobility compared to its monolayer counterpart, CaP3 bilayer possesses even
higher electron mobility (22380 cm2 V-1 s-1) than its monolayer counterpart.
The bandgap of 2D CaP3 can be tuned over a wide range from 1.15 to 0.37 eV
(HSE06 values) through controlling the number of stacked CaP3 layers. Besides
novel electronic properties, 2D CaP3 also exhibits optical absorption over the
entire visible-light range. The combined novel electronic, charge mobility, and
optical properties render 2D CaP3 an exciting functional material for future
nanoelectronic and optoelectronic applications.
| cond-mat.mtrl-sci | twodimensional 2d semiconductors with direct and modest bandgap and ultrahigh carrier mobility are highly desired functional materials for nanoelectronic applications herein we predict that monolayer cap3 is a new 2d functional material that possesses not only a direct bandgap of 115 ev based on hse06 computation and also a very high electron mobility up to 19930 cm2 v1 s1 comparable to that of monolayer phosphorene more remarkably contrary to the bilayer phosphorene which possesses dramatically reduced carrier mobility compared to its monolayer counterpart cap3 bilayer possesses even higher electron mobility 22380 cm2 v1 s1 than its monolayer counterpart the bandgap of 2d cap3 can be tuned over a wide range from 115 to 037 ev hse06 values through controlling the number of stacked cap3 layers besides novel electronic properties 2d cap3 also exhibits optical absorption over the entire visiblelight range the combined novel electronic charge mobility and optical properties render 2d cap3 an exciting functional material for future nanoelectronic and optoelectronic applications | [['twodimensional', '2d', 'semiconductors', 'with', 'direct', 'and', 'modest', 'bandgap', 'and', 'ultrahigh', 'carrier', 'mobility', 'are', 'highly', 'desired', 'functional', 'materials', 'for', 'nanoelectronic', 'applications', 'herein', 'we', 'predict', 'that', 'monolayer', 'cap3', 'is', 'a', 'new', '2d', 'functional', 'material', 'that', 'possesses', 'not', 'only', 'a', 'direct', 'bandgap', 'of', '115', 'ev', 'based', 'on', 'hse06', 'computation', 'and', 'also', 'a', 'very', 'high', 'electron', 'mobility', 'up', 'to', '19930', 'cm2', 'v1', 's1', 'comparable', 'to', 'that', 'of', 'monolayer', 'phosphorene', 'more', 'remarkably', 'contrary', 'to', 'the', 'bilayer', 'phosphorene', 'which', 'possesses', 'dramatically', 'reduced', 'carrier', 'mobility', 'compared', 'to', 'its', 'monolayer', 'counterpart', 'cap3', 'bilayer', 'possesses', 'even', 'higher', 'electron', 'mobility', '22380', 'cm2', 'v1', 's1', 'than', 'its', 'monolayer', 'counterpart', 'the', 'bandgap', 'of', '2d', 'cap3', 'can', 'be', 'tuned', 'over', 'a', 'wide', 'range', 'from', '115', 'to', '037', 'ev', 'hse06', 'values', 'through', 'controlling', 'the', 'number', 'of', 'stacked', 'cap3', 'layers', 'besides', 'novel', 'electronic', 'properties', '2d', 'cap3', 'also', 'exhibits', 'optical', 'absorption', 'over', 'the', 'entire', 'visiblelight', 'range', 'the', 'combined', 'novel', 'electronic', 'charge', 'mobility', 'and', 'optical', 'properties', 'render', '2d', 'cap3', 'an', 'exciting', 'functional', 'material', 'for', 'future', 'nanoelectronic', 'and', 'optoelectronic', 'applications']] | [-0.11189062596167787, 0.08694267940090868, 0.028362586023285986, -0.04889381703324034, -0.032909764541545886, -0.21320844955625945, 0.0855968452990055, 0.4986612898064777, -0.22948683879803866, -0.3289933879481396, -0.009644388986635022, -0.3278393330947438, -0.17646148582862226, 0.25133352059638125, 0.017658807020234236, 0.05796739991792492, 0.008569380777771585, -0.11621172511950136, -0.12720770532323514, -0.14693779723747866, 0.13902406444540247, 0.0628769931725401, 0.35834854623826684, 0.1266140408726642, 0.06207732355687767, -0.008053004819248599, 0.17565865945070983, 0.016832168353721498, -0.15468685658029244, 0.16018929041092633, 0.2630826922890265, -0.16538941748149227, 0.23884690123959446, -0.43412261007470077, -0.28004549438483084, -0.03931023810873739, 0.14228827728366014, 0.0957822154268797, -0.1122788343168395, -0.26014174374286086, 0.16045820494437066, -0.20906277225876693, -0.07703622358676512, -0.09833733754057902, 0.006694358686218038, -0.011981293372809888, -0.19357922540802974, 0.12076806849327112, -0.07730840821459424, 0.020361314207548276, -0.14247324203461176, -0.16164796647572074, -0.1405925423023291, 0.03668903021607548, -0.009455126045213546, 0.03674202660185984, 0.26567109310635717, -0.17413742107673896, -0.07089604242646601, 0.44016556395217776, -0.05838118661094995, -0.06687816331104841, 0.21434735341317718, -0.14982272001216188, -0.06102355431939941, 0.2214151045132894, 0.11401578835211694, 0.08648648119706195, -0.14955655219382608, 0.056056530128626034, -0.03627946161286673, 0.23449808485020185, 0.029616935578815173, 0.1809745726903202, 0.25243184693099463, 0.207544653856894, 0.10187766771414317, 0.036353310094273186, -0.1420538067817688, 0.050329922618402634, -0.11484946509008295, -0.23331321746809408, -0.2286015893216245, 0.13002643476220327, -0.11180696782603264, -0.2058962445735233, 0.4565296270244289, 0.1859517517470522, 0.16561156017996836, -0.021979324710991933, 0.2008943967986852, 0.1485935413336847, 0.09516216306365095, 0.012382272358809131, 0.24612689641217003, 0.14245938141248188, 0.12969605916150612, -0.16884874890529317, 0.014762754677212797, -0.044265790600911716] |
1,803.0029 | Solute particle near a nanopore: influence of size and surface
properties on the solvent-mediated forces | Nanoscopic pores are used in various systems to attract nanoparticles. In
general the behaviour is a result of two types of interactions: the material
specific affinity and the solvent-mediated influence also called the depletion
force. The latter is more universal but also much more complex to understand
since it requires modeling both the nanoparticle and the solvent. Here, we
employed classical density functional theory to determine the forces acting on
a nanoparticle near a nanoscopic pore as a function of its hydrophobicity and
its size. A simple capillary model is constructed to predict those depletion
forces for various surface properties. For a nanoscopic pore, complexity arises
from both the specific geometry and the fact that hydrophobic pores are not
necessarily filled with liquid. Taking all of these effects into account and
including electrostatic effects, we establish a phase diagram describing the
entrance and the rejection of the nanoparticle from the pore.
| cond-mat.soft cond-mat.mes-hall cond-mat.mtrl-sci | nanoscopic pores are used in various systems to attract nanoparticles in general the behaviour is a result of two types of interactions the material specific affinity and the solventmediated influence also called the depletion force the latter is more universal but also much more complex to understand since it requires modeling both the nanoparticle and the solvent here we employed classical density functional theory to determine the forces acting on a nanoparticle near a nanoscopic pore as a function of its hydrophobicity and its size a simple capillary model is constructed to predict those depletion forces for various surface properties for a nanoscopic pore complexity arises from both the specific geometry and the fact that hydrophobic pores are not necessarily filled with liquid taking all of these effects into account and including electrostatic effects we establish a phase diagram describing the entrance and the rejection of the nanoparticle from the pore | [['nanoscopic', 'pores', 'are', 'used', 'in', 'various', 'systems', 'to', 'attract', 'nanoparticles', 'in', 'general', 'the', 'behaviour', 'is', 'a', 'result', 'of', 'two', 'types', 'of', 'interactions', 'the', 'material', 'specific', 'affinity', 'and', 'the', 'solventmediated', 'influence', 'also', 'called', 'the', 'depletion', 'force', 'the', 'latter', 'is', 'more', 'universal', 'but', 'also', 'much', 'more', 'complex', 'to', 'understand', 'since', 'it', 'requires', 'modeling', 'both', 'the', 'nanoparticle', 'and', 'the', 'solvent', 'here', 'we', 'employed', 'classical', 'density', 'functional', 'theory', 'to', 'determine', 'the', 'forces', 'acting', 'on', 'a', 'nanoparticle', 'near', 'a', 'nanoscopic', 'pore', 'as', 'a', 'function', 'of', 'its', 'hydrophobicity', 'and', 'its', 'size', 'a', 'simple', 'capillary', 'model', 'is', 'constructed', 'to', 'predict', 'those', 'depletion', 'forces', 'for', 'various', 'surface', 'properties', 'for', 'a', 'nanoscopic', 'pore', 'complexity', 'arises', 'from', 'both', 'the', 'specific', 'geometry', 'and', 'the', 'fact', 'that', 'hydrophobic', 'pores', 'are', 'not', 'necessarily', 'filled', 'with', 'liquid', 'taking', 'all', 'of', 'these', 'effects', 'into', 'account', 'and', 'including', 'electrostatic', 'effects', 'we', 'establish', 'a', 'phase', 'diagram', 'describing', 'the', 'entrance', 'and', 'the', 'rejection', 'of', 'the', 'nanoparticle', 'from', 'the', 'pore']] | [-0.08274373595621314, 0.18881399598934792, -0.10096438557706736, 0.07262993262793918, -0.045191125520227464, -0.1383145412103279, 0.012692793157562268, 0.37676354685169183, -0.2725600782128063, -0.29846810897355835, 0.04272302740564977, -0.2678835482416761, -0.17278191078275393, 0.16352922152473426, -0.009476094663186331, 0.007060968624705461, -0.017794964279954795, -0.001964377077444401, -0.03448609736538338, -0.16527871992392773, 0.28018300693685694, 0.03689553639203902, 0.26854911608165066, 0.1517795652477996, 0.06867447543876949, -0.009233745730895278, 0.02830144665234827, 0.09777075799401011, -0.17674162212185082, 0.10853960518015932, 0.20656890283024174, 0.0031125279643036277, 0.24662841363063712, -0.5089935600782269, -0.25317194197166537, 0.06064285716621686, 0.11056288495499468, 0.13562430011645107, -0.06093176735032331, -0.2572915480543076, 0.034743604429115525, -0.1354257664581551, -0.12986695921258223, -0.03293552062788744, 0.02653979016344575, 0.05365955887885845, -0.22363434023522952, 0.04790793303731792, 0.08498203229245464, 0.05509590744700079, -0.0932953203133992, -0.0969960698703711, -0.029778652147556477, 0.17353842238470024, 0.03412133556503852, -0.0277736698699782, 0.25510519498262235, -0.15020414801092435, 0.0006530091832607787, 0.41848534977199225, 0.0012636070219886224, -0.22664205049047406, 0.24731967066544175, -0.15506698766303872, -0.04626997247868717, 0.17008321937975407, 0.15895294700749218, 0.10711099339698422, -0.1478791641355153, 0.03429982808822556, 0.0033282710086833377, 0.19057335428252126, 0.07397405501603094, 0.016867398792054407, 0.21777836273467502, 0.21131705371231235, 0.03192059299137616, 0.15843367967631247, -0.10123044678583643, -0.12351895539423093, -0.2460031068420488, -0.1832282946827445, -0.1717215521077607, 0.005045909198738838, -0.10728765088723301, -0.2316667227358218, 0.355688128028287, 0.09212262206691602, 0.17611285801730212, 0.02564289948335596, 0.24538657848340836, 0.04154840224524282, 0.10021103340446245, -0.013865728187220578, 0.22982762546728777, 0.15016118992761468, 0.08336377517159856, -0.26884741510074917, 0.09274044679786196, 0.05057364180591574] |
1,803.00291 | Exploring weight-dependent density-functional approximations for
ensembles in the Hubbard dimer | Gross-Oliveira-Kohn density-functional theory (GOK-DFT) is an extension of
DFT to excited states where the basic variable is the ensemble density, i.e.
the weighted sum of ground- and excited-state densities. The ensemble energy
(i.e. the weighted sum of ground- and excited-state energies) can be obtained
variationally as a functional of the ensemble density. Like in DFT, the key
ingredient to model in GOK-DFT is the exchange-correlation functional.
Developing density-functional approximations (DFAs) for ensembles is a
complicated task as both density and weight dependencies should in principle be
reproduced. In a recent paper [Phys. Rev. B 95, 035120 (2017)], the authors
applied exact GOK-DFT to the simple but nontrivial Hubbard dimer in order to
investigate (numerically) the importance of weight dependence in the
calculation of excitation energies. In this work, we derive analytical DFAs for
various density and correlation regimes by means of a Legendre-Fenchel
transform formalism. Both functional and density driven errors are evaluated
for each DFA. Interestingly, when the ensemble exact-exchange-only functional
is used, these errors can be large, in particular if the dimer is symmetric,
but they cancel each other so that the excitation energies obtained by linear
interpolation are always accurate, even in the strongly correlated regime.
| cond-mat.str-el physics.chem-ph | grossoliveirakohn densityfunctional theory gokdft is an extension of dft to excited states where the basic variable is the ensemble density ie the weighted sum of ground and excitedstate densities the ensemble energy ie the weighted sum of ground and excitedstate energies can be obtained variationally as a functional of the ensemble density like in dft the key ingredient to model in gokdft is the exchangecorrelation functional developing densityfunctional approximations dfas for ensembles is a complicated task as both density and weight dependencies should in principle be reproduced in a recent paper phys rev b 95 035120 2017 the authors applied exact gokdft to the simple but nontrivial hubbard dimer in order to investigate numerically the importance of weight dependence in the calculation of excitation energies in this work we derive analytical dfas for various density and correlation regimes by means of a legendrefenchel transform formalism both functional and density driven errors are evaluated for each dfa interestingly when the ensemble exactexchangeonly functional is used these errors can be large in particular if the dimer is symmetric but they cancel each other so that the excitation energies obtained by linear interpolation are always accurate even in the strongly correlated regime | [['grossoliveirakohn', 'densityfunctional', 'theory', 'gokdft', 'is', 'an', 'extension', 'of', 'dft', 'to', 'excited', 'states', 'where', 'the', 'basic', 'variable', 'is', 'the', 'ensemble', 'density', 'ie', 'the', 'weighted', 'sum', 'of', 'ground', 'and', 'excitedstate', 'densities', 'the', 'ensemble', 'energy', 'ie', 'the', 'weighted', 'sum', 'of', 'ground', 'and', 'excitedstate', 'energies', 'can', 'be', 'obtained', 'variationally', 'as', 'a', 'functional', 'of', 'the', 'ensemble', 'density', 'like', 'in', 'dft', 'the', 'key', 'ingredient', 'to', 'model', 'in', 'gokdft', 'is', 'the', 'exchangecorrelation', 'functional', 'developing', 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1,803.00292 | Composition inverses of the variations of the Baum-Sweet sequence | Studying and comparing arithmetic properties of a given automatic sequence
and the sequence of coefficients of the composition inverse of the associated
formal power series (the formal inverse of that sequence) is an interesting
problem. This problem was studied before for the Thue-Morse sequence. In this
paper, we study arithmetic properties of the formal inverses of two sequences
closely related to the well-known Baum-Sweet sequence. We give the recurrence
relations for their formal inverses and we determine whether the sequences of
indices at which these formal inverses take value $0$ and $1$ are regular. We
also show an unexpected connection between one of the obtained sequences and
the formal inverse of the Thue-Morse sequence.
| math.NT math.CO | studying and comparing arithmetic properties of a given automatic sequence and the sequence of coefficients of the composition inverse of the associated formal power series the formal inverse of that sequence is an interesting problem this problem was studied before for the thuemorse sequence in this paper we study arithmetic properties of the formal inverses of two sequences closely related to the wellknown baumsweet sequence we give the recurrence relations for their formal inverses and we determine whether the sequences of indices at which these formal inverses take value 0 and 1 are regular we also show an unexpected connection between one of the obtained sequences and the formal inverse of the thuemorse sequence | [['studying', 'and', 'comparing', 'arithmetic', 'properties', 'of', 'a', 'given', 'automatic', 'sequence', 'and', 'the', 'sequence', 'of', 'coefficients', 'of', 'the', 'composition', 'inverse', 'of', 'the', 'associated', 'formal', 'power', 'series', 'the', 'formal', 'inverse', 'of', 'that', 'sequence', 'is', 'an', 'interesting', 'problem', 'this', 'problem', 'was', 'studied', 'before', 'for', 'the', 'thuemorse', 'sequence', 'in', 'this', 'paper', 'we', 'study', 'arithmetic', 'properties', 'of', 'the', 'formal', 'inverses', 'of', 'two', 'sequences', 'closely', 'related', 'to', 'the', 'wellknown', 'baumsweet', 'sequence', 'we', 'give', 'the', 'recurrence', 'relations', 'for', 'their', 'formal', 'inverses', 'and', 'we', 'determine', 'whether', 'the', 'sequences', 'of', 'indices', 'at', 'which', 'these', 'formal', 'inverses', 'take', 'value', '0', 'and', '1', 'are', 'regular', 'we', 'also', 'show', 'an', 'unexpected', 'connection', 'between', 'one', 'of', 'the', 'obtained', 'sequences', 'and', 'the', 'formal', 'inverse', 'of', 'the', 'thuemorse', 'sequence']] | [-0.14754146339143054, 0.061438757667099456, -0.08312995629801248, 0.1295011395276034, -0.06620012341361296, -0.04698878383721437, 0.03518465576027602, 0.37945018633546534, -0.40515065157230484, -0.25808180948686704, 0.13762046921520346, -0.2691856668833153, -0.1871009139393113, 0.21029217891638136, -0.08007961804079905, 0.06800210013528142, 0.02271216523245369, 0.08459894608281422, -0.09778824962242588, -0.22547669619681282, 0.3707750643479174, 0.009423675530246998, 0.2032301374751944, -0.029693296791887598, 0.0870855035119396, -0.008788848867672578, -0.06659315063275005, -0.04526584267845018, -0.1479809618080285, 0.14933953078243098, 0.23153339633554743, 0.14250335306860507, 0.26348355711895255, -0.36947280032102736, -0.09444657729922287, 0.1419475572673898, 0.14471257946927818, 0.005169802930475653, -0.0442462128897508, -0.2143205003036807, 0.17325101173973004, -0.13135091798163526, -0.10074467827124815, -0.0398712896072028, 0.07491779101914481, 0.09857268150887664, -0.2500515773283775, 0.026214489078388158, 0.1663693250075244, 0.13192246293877824, -0.06574515501249648, -0.13323008386712326, 0.053672989014446275, 0.2043945134184405, 0.07310587988570005, -0.03787611980652927, 0.019243970811530425, -0.08374512286677041, -0.12038594584814027, 0.3343391118554823, -0.015093450638743346, -0.16709551018338012, 0.1441757566655022, -0.12126807718161951, -0.1958622386344104, 0.06902585663881741, 0.08817913985337343, 0.13177724069866695, -0.11078925354798373, 0.08050327185130875, -0.04943812934665434, 0.16968770437105968, 0.1189761467159546, 0.014075504852818293, 0.1971622192905399, 0.09940998567464321, -0.002110727443849962, 0.1734687675632079, 0.014607355994756514, -0.06374485561166678, -0.2799443838936113, -0.18672223403036856, -0.1496163277494672, 0.05506701256238382, -0.12333923017362586, -0.2244716215666318, 0.4365532146276612, 0.12652128887477151, 0.19984771283506825, 0.14027330947717195, 0.22385218955184283, 0.1960887286828406, -0.01824193239404019, -0.02210067235864699, 0.13122797749217666, 0.1734981719208391, 0.0649458084157423, -0.22439162136186241, 0.045820716033248526, 0.15664922450097246] |
1,803.00293 | Nonparametric Analysis of Clustered Multivariate Data | There has been a wide interest to extend univariate and multivariate
nonparametric procedures to clustered and hierarchical data. Traditionally,
parametric mixed models have been used to account for the correlation
structures among the dependent observational units. In this work we extend
multivariate nonparametric procedures for one-sample and several samples
location problems to clustered data settings. The results are given for a
general score function, but with an emphasis on spatial sign and rank methods.
Mixed models notation involving design matrices for fixed and random effects is
used throughout. The asymptotic variance formulas and limiting distributions of
the test statistics under the null hypothesis and under a sequence of
alternatives are derived, as well as the limiting distributions for the
corresponding estimates. The approach based on a general score function also
shows, for example, how $M$-estimates behave with clustered data. Efficiency
studies demonstrate practical advantages and disadvantages of the use of
spatial sign and rank scores, and their weighted versions. Small sample
procedures based on sign change and permutation principles are discussed.
Further development of nonparametric methods for cluster correlated data would
benefit from the notation already familiar to statisticians working under
normality assumptions.
| math.ST stat.TH | there has been a wide interest to extend univariate and multivariate nonparametric procedures to clustered and hierarchical data traditionally parametric mixed models have been used to account for the correlation structures among the dependent observational units in this work we extend multivariate nonparametric procedures for onesample and several samples location problems to clustered data settings the results are given for a general score function but with an emphasis on spatial sign and rank methods mixed models notation involving design matrices for fixed and random effects is used throughout the asymptotic variance formulas and limiting distributions of the test statistics under the null hypothesis and under a sequence of alternatives are derived as well as the limiting distributions for the corresponding estimates the approach based on a general score function also shows for example how mestimates behave with clustered data efficiency studies demonstrate practical advantages and disadvantages of the use of spatial sign and rank scores and their weighted versions small sample procedures based on sign change and permutation principles are discussed further development of nonparametric methods for cluster correlated data would benefit from the notation already familiar to statisticians working under normality assumptions | [['there', 'has', 'been', 'a', 'wide', 'interest', 'to', 'extend', 'univariate', 'and', 'multivariate', 'nonparametric', 'procedures', 'to', 'clustered', 'and', 'hierarchical', 'data', 'traditionally', 'parametric', 'mixed', 'models', 'have', 'been', 'used', 'to', 'account', 'for', 'the', 'correlation', 'structures', 'among', 'the', 'dependent', 'observational', 'units', 'in', 'this', 'work', 'we', 'extend', 'multivariate', 'nonparametric', 'procedures', 'for', 'onesample', 'and', 'several', 'samples', 'location', 'problems', 'to', 'clustered', 'data', 'settings', 'the', 'results', 'are', 'given', 'for', 'a', 'general', 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1,803.00294 | Aut-invariant word norm on right angled Artin and right angled Coxeter
groups | We show that the Aut-invariant word norm on right angled Artin and right
angled Coxeter groups is unbounded (except in few special cases). To prove
unboundedness we exhibit certain characteristic subgroups. This allows us to
find unbounded quasimorphisms which are Lipschitz with respect to the
Aut-invariant word norm.
| math.GR | we show that the autinvariant word norm on right angled artin and right angled coxeter groups is unbounded except in few special cases to prove unboundedness we exhibit certain characteristic subgroups this allows us to find unbounded quasimorphisms which are lipschitz with respect to the autinvariant word norm | [['we', 'show', 'that', 'the', 'autinvariant', 'word', 'norm', 'on', 'right', 'angled', 'artin', 'and', 'right', 'angled', 'coxeter', 'groups', 'is', 'unbounded', 'except', 'in', 'few', 'special', 'cases', 'to', 'prove', 'unboundedness', 'we', 'exhibit', 'certain', 'characteristic', 'subgroups', 'this', 'allows', 'us', 'to', 'find', 'unbounded', 'quasimorphisms', 'which', 'are', 'lipschitz', 'with', 'respect', 'to', 'the', 'autinvariant', 'word', 'norm']] | [-0.12615745211951435, 0.10634118991826351, -0.062474276396339214, 0.10084647596037637, -0.16361711158727607, -0.19745438646835586, -0.03828361405370136, 0.49071528935261693, -0.40698494615692954, -0.18072253923673998, 0.09755993128783302, -0.31094580920792697, -0.07232828063812728, 0.19845699755630145, -0.22496766705686846, 0.005920617084484547, 0.04813943326007575, 0.1630701445004282, -0.0897742927724418, -0.28797591050776344, 0.3378307534536968, -0.1142527693300508, 0.2055215204406219, 0.07045242925717805, 0.10503428908608232, -0.03778607897887317, -0.012479767116019502, -0.08521078748378841, -0.16628274570469634, 0.10742943569008882, 0.3211073020162682, -0.0035532131005311385, 0.26314981663017534, -0.3647921831870917, -0.0899818085017614, 0.2452140076299353, 0.15546543757470013, 0.029143667437892873, -0.047727513260421496, -0.30164615881706897, 0.13181974321923917, -0.14491847072107097, -0.15651927944660807, -0.04960840138179871, 0.047869576315861195, 0.03789634754260381, -0.24718940875512393, 0.05094591013039462, 0.13900406786706299, 0.07057095978840759, -0.09166753033180915, -0.1023962343945944, -0.005164432184149821, 0.1287816824236264, 0.07184947791877978, -0.006695294403471053, 0.06732018296800864, -0.03244455323147122, -0.043967428364946194, 0.38254506738545996, -0.02091623320787524, -0.26320161453137797, 0.1562388533881555, -0.26992544122428325, -0.15417500718225105, 0.07154058396554319, 0.09184153478903075, 0.11037997909200688, 0.028432539489585906, 0.19554686901271148, -0.1912748437995712, 0.12463397501657407, 0.18950062234459134, 0.023232568588961538, 0.0026138212609415254, 0.012703163083642721, 0.19777299980584453, 0.14966345912156007, 0.03492914553983913, -0.007643288971545796, -0.3176125611644238, -0.14566732226133658, -0.03172990675860395, 0.0870186565352924, -0.1383016888767088, -0.2558794187740811, 0.37891043225924176, 0.10727077590612073, 0.14479447324022962, 0.1869295455617248, 0.13340175498160534, 0.04588188275617237, 0.07426980300806463, 0.09848246340213034, 0.07477596345900868, 0.16594058003587028, -0.07210691563280609, -0.1231950480141677, 0.04236596397822723, 0.1892221520053378] |
1,803.00295 | Probing the edge states in a zigzag phosphorene nanoribbon via RKKY
exchange interaction | Phosphorene is an anisotropic puckered two-dimensional ($2$D) hexagonal
lattice of phosphorus atoms. The edge modes in a zigzag phosphorene nanoribbon
(ZPNR) are quasi-flat in nature and fully isolated from the bulk states, which
are unique in comparison to the other hexagonal lattices like graphene,
silicene etc. We theoretically investigate the Ruderman-Kittel-Kasuya-Yosida
(RKKY) exchange interaction between two magnetic impurities placed on the
nanoribbon, and extract the signatures of the flat edge states via the behavior
of it. Due to the complete separation of the edge states from the bulk, we can
isolate the edge mode contribution via the RKKY interaction from that of the
bulk by tuning the external gate potential when both the impurities are placed
at the same edge. The bulk induced RKKY interaction exhibits very smooth
oscillation with the distance between the two impurities, whereas for edge
modes it fluctuates very rapidly. We also explore the effect of tensile strain
both in absence and presence of gate voltage and reveal that the RKKY
interaction strength can be boosted under suitable doping, when both the
impurities are within the bulk.
| cond-mat.mes-hall cond-mat.mtrl-sci | phosphorene is an anisotropic puckered twodimensional 2d hexagonal lattice of phosphorus atoms the edge modes in a zigzag phosphorene nanoribbon zpnr are quasiflat in nature and fully isolated from the bulk states which are unique in comparison to the other hexagonal lattices like graphene silicene etc we theoretically investigate the rudermankittelkasuyayosida rkky exchange interaction between two magnetic impurities placed on the nanoribbon and extract the signatures of the flat edge states via the behavior of it due to the complete separation of the edge states from the bulk we can isolate the edge mode contribution via the rkky interaction from that of the bulk by tuning the external gate potential when both the impurities are placed at the same edge the bulk induced rkky interaction exhibits very smooth oscillation with the distance between the two impurities whereas for edge modes it fluctuates very rapidly we also explore the effect of tensile strain both in absence and presence of gate voltage and reveal that the rkky interaction strength can be boosted under suitable doping when both the impurities are within the bulk | [['phosphorene', 'is', 'an', 'anisotropic', 'puckered', 'twodimensional', '2d', 'hexagonal', 'lattice', 'of', 'phosphorus', 'atoms', 'the', 'edge', 'modes', 'in', 'a', 'zigzag', 'phosphorene', 'nanoribbon', 'zpnr', 'are', 'quasiflat', 'in', 'nature', 'and', 'fully', 'isolated', 'from', 'the', 'bulk', 'states', 'which', 'are', 'unique', 'in', 'comparison', 'to', 'the', 'other', 'hexagonal', 'lattices', 'like', 'graphene', 'silicene', 'etc', 'we', 'theoretically', 'investigate', 'the', 'rudermankittelkasuyayosida', 'rkky', 'exchange', 'interaction', 'between', 'two', 'magnetic', 'impurities', 'placed', 'on', 'the', 'nanoribbon', 'and', 'extract', 'the', 'signatures', 'of', 'the', 'flat', 'edge', 'states', 'via', 'the', 'behavior', 'of', 'it', 'due', 'to', 'the', 'complete', 'separation', 'of', 'the', 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0.055348082102104526, 0.003111588479230664] |
1,803.00296 | Di\v{s}imo: Anchoring Our Breath | We present a system that raises awareness about users' inner state.
Di\v{s}imo is a multimodal ambient display that provides feedback about one's
stress level, which is assessed through heart rate monitoring. Upon detecting a
low heart rate variability for a prolonged period of time, Di\v{s}imo plays an
audio track, setting the pace of a regular and deep breathing. Users can then
choose to take a moment to focus on their breath. By doing so, they will
activate the Di\v{s}imo devices belonging to their close ones, who can then
join for a shared relaxation session.
| cs.HC | we present a system that raises awareness about users inner state divsimo is a multimodal ambient display that provides feedback about ones stress level which is assessed through heart rate monitoring upon detecting a low heart rate variability for a prolonged period of time divsimo plays an audio track setting the pace of a regular and deep breathing users can then choose to take a moment to focus on their breath by doing so they will activate the divsimo devices belonging to their close ones who can then join for a shared relaxation session | [['we', 'present', 'a', 'system', 'that', 'raises', 'awareness', 'about', 'users', 'inner', 'state', 'divsimo', 'is', 'a', 'multimodal', 'ambient', 'display', 'that', 'provides', 'feedback', 'about', 'ones', 'stress', 'level', 'which', 'is', 'assessed', 'through', 'heart', 'rate', 'monitoring', 'upon', 'detecting', 'a', 'low', 'heart', 'rate', 'variability', 'for', 'a', 'prolonged', 'period', 'of', 'time', 'divsimo', 'plays', 'an', 'audio', 'track', 'setting', 'the', 'pace', 'of', 'a', 'regular', 'and', 'deep', 'breathing', 'users', 'can', 'then', 'choose', 'to', 'take', 'a', 'moment', 'to', 'focus', 'on', 'their', 'breath', 'by', 'doing', 'so', 'they', 'will', 'activate', 'the', 'divsimo', 'devices', 'belonging', 'to', 'their', 'close', 'ones', 'who', 'can', 'then', 'join', 'for', 'a', 'shared', 'relaxation', 'session']] | [-0.16028325255722442, 0.12842396430889805, -0.09265992581903776, 0.05869903165024725, -0.12089229630989994, -0.18730667757583744, 0.10929068810110813, 0.39258768005256955, -0.25597998014455564, -0.2744221025780636, 0.13892130169304126, -0.2777242567662665, -0.11048454826479738, 0.1918100905208353, -0.1295373574448217, -0.04019736034542996, 0.08029102914263198, 0.1221378728142999, -0.029021835310057677, -0.2590190533231548, 0.26041433816537896, 0.10402006036917769, 0.27336487097744927, 0.008311441428265832, 0.10092557719512348, 0.008547077819883347, 0.002707761329378279, -0.04467296349553471, -0.078595443279018, 0.10702188437844211, 0.31423497861845695, 0.17955902654261507, 0.3445866230597838, -0.4412483848789905, -0.19175698250244827, 0.06681062704066132, 0.1413916823091332, 0.08222057788627857, -0.0579151587431973, -0.28118681209657265, 0.11202510053965639, -0.16820396636018253, -0.09291864559286586, -0.08111300223328649, 0.023729809163574207, -0.013490238440333107, -0.24579022544624402, 0.0547963486924926, 0.056674733242772994, 0.0776848842469143, -0.08185336326370932, -0.033076974140985455, -0.013823125432146357, 0.21978788051575898, 0.04453223090163095, 0.038123522802476495, 0.19301441860226717, -0.13990434393920798, -0.08198909271022979, 0.33115359175544073, -0.019480417232385815, -0.1334213335909187, 0.23278040539948863, -0.11640066131850348, -0.09089936436887117, 0.11719206549187607, 0.24424978148964968, 0.09828189453308253, -0.1629452637515645, -0.029008381299369848, 0.011115530525591779, 0.2347449730868709, 0.07553845930577038, 0.022214839987932368, 0.23040883591834535, 0.1745147596390799, 0.0767852875337183, 0.10855806085399966, -0.06316018852335896, -0.056385127169283185, -0.1990022541647975, -0.16057010872309355, -0.12027857031554301, 0.063641678185222, -0.017218563462789615, -0.09642574785059278, 0.3905537242783194, 0.1255481012779823, 0.20151421664520464, 0.06292630791381755, 0.25985570745839875, 0.06595332538114583, 0.08056006785633879, 0.09062374199918927, 0.19102829700692536, 0.03551857027056766, 0.1397337221560326, -0.19637182900592923, 0.16037075381052304, 0.036959986187557275] |
1,803.00297 | Q-CP: Learning Action Values for Cooperative Planning | Research on multi-robot systems has demonstrated promising results in
manifold applications and domains. Still, efficiently learning an effective
robot behaviors is very difficult, due to unstructured scenarios, high
uncertainties, and large state dimensionality (e.g. hyper-redundant and groups
of robot). To alleviate this problem, we present Q-CP a cooperative model-based
reinforcement learning algorithm, which exploits action values to both (1)
guide the exploration of the state space and (2) generate effective policies.
Specifically, we exploit Q-learning to attack the curse-of-dimensionality in
the iterations of a Monte-Carlo Tree Search. We implement and evaluate Q-CP on
different stochastic cooperative (general-sum) games: (1) a simple cooperative
navigation problem among 3 robots, (2) a cooperation scenario between a pair of
KUKA YouBots performing hand-overs, and (3) a coordination task between two
mobile robots entering a door. The obtained results show the effectiveness of
Q-CP in the chosen applications, where action values drive the exploration and
reduce the computational demand of the planning process while achieving good
performance.
| cs.RO cs.AI | research on multirobot systems has demonstrated promising results in manifold applications and domains still efficiently learning an effective robot behaviors is very difficult due to unstructured scenarios high uncertainties and large state dimensionality eg hyperredundant and groups of robot to alleviate this problem we present qcp a cooperative modelbased reinforcement learning algorithm which exploits action values to both 1 guide the exploration of the state space and 2 generate effective policies specifically we exploit qlearning to attack the curseofdimensionality in the iterations of a montecarlo tree search we implement and evaluate qcp on different stochastic cooperative generalsum games 1 a simple cooperative navigation problem among 3 robots 2 a cooperation scenario between a pair of kuka youbots performing handovers and 3 a coordination task between two mobile robots entering a door the obtained results show the effectiveness of qcp in the chosen applications where action values drive the exploration and reduce the computational demand of the planning process while achieving good performance | [['research', 'on', 'multirobot', 'systems', 'has', 'demonstrated', 'promising', 'results', 'in', 'manifold', 'applications', 'and', 'domains', 'still', 'efficiently', 'learning', 'an', 'effective', 'robot', 'behaviors', 'is', 'very', 'difficult', 'due', 'to', 'unstructured', 'scenarios', 'high', 'uncertainties', 'and', 'large', 'state', 'dimensionality', 'eg', 'hyperredundant', 'and', 'groups', 'of', 'robot', 'to', 'alleviate', 'this', 'problem', 'we', 'present', 'qcp', 'a', 'cooperative', 'modelbased', 'reinforcement', 'learning', 'algorithm', 'which', 'exploits', 'action', 'values', 'to', 'both', '1', 'guide', 'the', 'exploration', 'of', 'the', 'state', 'space', 'and', '2', 'generate', 'effective', 'policies', 'specifically', 'we', 'exploit', 'qlearning', 'to', 'attack', 'the', 'curseofdimensionality', 'in', 'the', 'iterations', 'of', 'a', 'montecarlo', 'tree', 'search', 'we', 'implement', 'and', 'evaluate', 'qcp', 'on', 'different', 'stochastic', 'cooperative', 'generalsum', 'games', '1', 'a', 'simple', 'cooperative', 'navigation', 'problem', 'among', '3', 'robots', '2', 'a', 'cooperation', 'scenario', 'between', 'a', 'pair', 'of', 'kuka', 'youbots', 'performing', 'handovers', 'and', '3', 'a', 'coordination', 'task', 'between', 'two', 'mobile', 'robots', 'entering', 'a', 'door', 'the', 'obtained', 'results', 'show', 'the', 'effectiveness', 'of', 'qcp', 'in', 'the', 'chosen', 'applications', 'where', 'action', 'values', 'drive', 'the', 'exploration', 'and', 'reduce', 'the', 'computational', 'demand', 'of', 'the', 'planning', 'process', 'while', 'achieving', 'good', 'performance']] | [-0.15646290078597225, 0.0693145707541222, -0.05401641883893135, 0.05073468467827913, -0.11264756842955993, -0.20624854787316474, 0.10794302750442478, 0.41202058652864176, -0.26584916485485083, -0.3580246280925059, 0.08102987586124366, -0.2374777648365125, -0.19413224437638468, 0.17183801448493272, -0.11810108645015066, 0.07368933969420982, 0.10656169949530375, 0.014492610067429934, -0.025114735096739317, -0.22564042033049167, 0.28364591322758276, 0.03270961385312843, 0.3147008941879045, 0.04145176338916934, 0.156380874068644, 0.012547118074451545, 0.03838392670167992, -0.0006111632450122201, -0.08244073300901511, 0.13221201630669316, 0.3510682901934437, 0.15988324851561223, 0.3463805902471639, -0.39217672996282266, -0.202868080719646, 0.1211476274578028, 0.14931184243888418, 0.0899004383954098, -0.06808685105415466, -0.33560872757633836, 0.08050872440744909, -0.18784559917815538, -0.058963952377808763, -0.10793893354777132, -0.026096665296090407, -0.018497849025717293, -0.3151085363087817, -0.046535990746498036, 0.017279675198568507, 0.08023847183733253, -0.07258683769827744, -0.10070702444287653, 0.07340257504364904, 0.191941296372285, 0.029671241033074638, 0.05180796974494776, 0.16425432686322305, -0.18563221017926784, -0.20354291951639567, 0.40238009616356596, 0.033154178390522364, -0.19419045141256003, 0.2306836082250088, -0.04097560493518477, -0.14661751942628104, 0.11038266450617902, 0.2586224145597275, 0.16022352336454698, -0.1311485181128395, 0.058396738410496404, 0.027910840526940473, 0.15415330605743371, 0.0025891639893839817, -0.027799802930643838, 0.13508152733744927, 0.2538800568678051, 0.14364151364793967, 0.11054824826290241, -0.05174700800482739, -0.15871311388316894, -0.1922189656280629, -0.12140873248214538, -0.16771689616071395, -0.025402302803147748, -0.11825375846865144, -0.08233191665429737, 0.3300700038512417, 0.21365145111444944, 0.18334681771533645, 0.09374320412398843, 0.3357296849872847, 0.03501274347629236, 0.039120602334693354, 0.11841215149561661, 0.1825245480430573, 0.01688177403791443, 0.13997991843964697, -0.26127934297083977, 0.07306622439035163, 0.022082145094997337] |
1,803.00298 | Molecular gas reservoirs in cluster galaxies at z=1.46 | We present molecular gas reservoirs of eighteen galaxies associated with the
XMMXCS J2215.9-1738 cluster at z=1.46. From Band 7 and Band 3 data of the
Atacama Large Millimeter/submillimeter Array (ALMA), we detect dust continuum
emission at 870 um and CO J=2-1 emission line from 8 and 17 member galaxies
respectively within a cluster-centric radius of $R_{200}$. The molecular gas
masses derived from the CO and/or dust continuum luminosities show that the
fraction of molecular gas mass and the depletion time scale for the cluster
galaxies are larger than expected from the scaling relations of molecular gas
on stellar mass and offset from the main sequence of star-forming galaxies in
general fields. The galaxies closer to the cluster center in terms of both
projected position and accretion phase seem to show a larger deviation from the
scaling relations. We speculate that the environment of galaxy cluster helps
feed the gas through inflow to the member galaxies and also reduce the
efficiency of star formation. The stacked Band 3 spectrum of 12 quiescent
galaxies with stellar mass $\sim10^{11}$ M$_\odot$ within 0.5$R_{200}$ shows no
detection of CO emission line, giving the upper limit of molecular gas mass and
molecular gas fraction to be $<10^{10}$ M$_\odot$ and $<10$%, respectively.
Therefore, the massive galaxies in the cluster core quench the star formation
activity while consuming most of the gas reservoirs.
| astro-ph.GA | we present molecular gas reservoirs of eighteen galaxies associated with the xmmxcs j221591738 cluster at z146 from band 7 and band 3 data of the atacama large millimetersubmillimeter array alma we detect dust continuum emission at 870 um and co j21 emission line from 8 and 17 member galaxies respectively within a clustercentric radius of r_200 the molecular gas masses derived from the co andor dust continuum luminosities show that the fraction of molecular gas mass and the depletion time scale for the cluster galaxies are larger than expected from the scaling relations of molecular gas on stellar mass and offset from the main sequence of starforming galaxies in general fields the galaxies closer to the cluster center in terms of both projected position and accretion phase seem to show a larger deviation from the scaling relations we speculate that the environment of galaxy cluster helps feed the gas through inflow to the member galaxies and also reduce the efficiency of star formation the stacked band 3 spectrum of 12 quiescent galaxies with stellar mass sim1011 m_odot within 05r_200 shows no detection of co emission line giving the upper limit of molecular gas mass and molecular gas fraction to be 1010 m_odot and 10 respectively therefore the massive galaxies in the cluster core quench the star formation activity while consuming most of the gas reservoirs | [['we', 'present', 'molecular', 'gas', 'reservoirs', 'of', 'eighteen', 'galaxies', 'associated', 'with', 'the', 'xmmxcs', 'j221591738', 'cluster', 'at', 'z146', 'from', 'band', '7', 'and', 'band', '3', 'data', 'of', 'the', 'atacama', 'large', 'millimetersubmillimeter', 'array', 'alma', 'we', 'detect', 'dust', 'continuum', 'emission', 'at', '870', 'um', 'and', 'co', 'j21', 'emission', 'line', 'from', '8', 'and', '17', 'member', 'galaxies', 'respectively', 'within', 'a', 'clustercentric', 'radius', 'of', 'r_200', 'the', 'molecular', 'gas', 'masses', 'derived', 'from', 'the', 'co', 'andor', 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1,803.00299 | Night sky brightness above Zagreb 2012.-2017 | The night sky brightness at the RGN site (near the centre of Zagreb, Croatia)
was monitored form January 2012. to December 2017. The gathered data show that
the average night sky brightness in this period did not change significantly,
apart from differences caused by yearly variations in meteorological
parameters. The nightly minima, maxima and mean values of the sky brightness do
change considerably due to changes in meteorological conditions, often being
between 2 and 3 magnitudes. The seasonal probability curves and histograms are
constructed and are used to obtain additional information on the light
pollution at the RGN site. They reveal that the night sky brightness clutters
around two peaks, at about 15.0 mag/arcsec2 and at about 18.2 mag/arcsec2. The
tendency to slightly lower brightness values in spring and summer can also be
seen in the data. Two peaks correspond to cloudy and clear nights respectively,
the difference in brightness between them being about 3 magnitudes. A crude
clear/cloudy criterion can be defined too: the minimum between two peaks is
around 16.7 mag/arcsec2. The brightness values smaller than this are attributed
to clear nights and vice-versa. Comparison with Vienna and Hong-Kong indicates
that the light pollution of Zagreb is a few times larger.
| astro-ph.IM | the night sky brightness at the rgn site near the centre of zagreb croatia was monitored form january 2012 to december 2017 the gathered data show that the average night sky brightness in this period did not change significantly apart from differences caused by yearly variations in meteorological parameters the nightly minima maxima and mean values of the sky brightness do change considerably due to changes in meteorological conditions often being between 2 and 3 magnitudes the seasonal probability curves and histograms are constructed and are used to obtain additional information on the light pollution at the rgn site they reveal that the night sky brightness clutters around two peaks at about 150 magarcsec2 and at about 182 magarcsec2 the tendency to slightly lower brightness values in spring and summer can also be seen in the data two peaks correspond to cloudy and clear nights respectively the difference in brightness between them being about 3 magnitudes a crude clearcloudy criterion can be defined too the minimum between two peaks is around 167 magarcsec2 the brightness values smaller than this are attributed to clear nights and viceversa comparison with vienna and hongkong indicates that the light pollution of zagreb is a few times larger | [['the', 'night', 'sky', 'brightness', 'at', 'the', 'rgn', 'site', 'near', 'the', 'centre', 'of', 'zagreb', 'croatia', 'was', 'monitored', 'form', 'january', '2012', 'to', 'december', '2017', 'the', 'gathered', 'data', 'show', 'that', 'the', 'average', 'night', 'sky', 'brightness', 'in', 'this', 'period', 'did', 'not', 'change', 'significantly', 'apart', 'from', 'differences', 'caused', 'by', 'yearly', 'variations', 'in', 'meteorological', 'parameters', 'the', 'nightly', 'minima', 'maxima', 'and', 'mean', 'values', 'of', 'the', 'sky', 'brightness', 'do', 'change', 'considerably', 'due', 'to', 'changes', 'in', 'meteorological', 'conditions', 'often', 'being', 'between', '2', 'and', '3', 'magnitudes', 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1,803.003 | 2-D fluid simulation of a rigid relativistic electron beam driven
wakefield in a cold plasma | Fluid simulations, which are considerably simpler and faster, have been
employed to study the behavior of the wakefield driven by a relativistic rigid
beam in a 2-D cold plasma. When the transverse dimensions of the beam are
chosen to be much larger than its longitudinal extent, a good agreement with
our previous 1-D results [\textcolor{red}{\it Physics of Plasmas 22, 073109
(2015)}] are observed for both under-dense and over-dense beams. When the beam
is overdense and its transverse extent is smaller or close to the longitudinal
extension, the 2-D blow-out structure, observed in PIC simulations and
analytically modeled by Lu et al. [\textcolor{red}{\it Phys. Rev. Lett., 96,
165002 (2006)}] are recovered. For quantitative assessment of particle
acceleration in such a wake potential structure test electrons are employed. It
is shown that the maximum energy gained by the test electrons placed at the
back of the driver beam of energy $\sim 28.5$ GeV, reaches up to $2.6$ GeV in a
10 cm long plasma. These observations are consistent with the experimental
results presented in ref. [\textcolor{red}{\it Phys. Rev. Lett. 95, 054802
(2005)}]. It is also demonstrated that the energy gained by the test electrons
get doubled ($\sim 5.2$ GeV) when the test particles are placed near the axis
at the end of the first blowout structure.
| physics.plasm-ph | fluid simulations which are considerably simpler and faster have been employed to study the behavior of the wakefield driven by a relativistic rigid beam in a 2d cold plasma when the transverse dimensions of the beam are chosen to be much larger than its longitudinal extent a good agreement with our previous 1d results textcolorredit physics of plasmas 22 073109 2015 are observed for both underdense and overdense beams when the beam is overdense and its transverse extent is smaller or close to the longitudinal extension the 2d blowout structure observed in pic simulations and analytically modeled by lu et al textcolorredit phys rev lett 96 165002 2006 are recovered for quantitative assessment of particle acceleration in such a wake potential structure test electrons are employed it is shown that the maximum energy gained by the test electrons placed at the back of the driver beam of energy sim 285 gev reaches up to 26 gev in a 10 cm long plasma these observations are consistent with the experimental results presented in ref textcolorredit phys rev lett 95 054802 2005 it is also demonstrated that the energy gained by the test electrons get doubled sim 52 gev when the test particles are placed near the axis at the end of the first blowout structure | [['fluid', 'simulations', 'which', 'are', 'considerably', 'simpler', 'and', 'faster', 'have', 'been', 'employed', 'to', 'study', 'the', 'behavior', 'of', 'the', 'wakefield', 'driven', 'by', 'a', 'relativistic', 'rigid', 'beam', 'in', 'a', '2d', 'cold', 'plasma', 'when', 'the', 'transverse', 'dimensions', 'of', 'the', 'beam', 'are', 'chosen', 'to', 'be', 'much', 'larger', 'than', 'its', 'longitudinal', 'extent', 'a', 'good', 'agreement', 'with', 'our', 'previous', '1d', 'results', 'textcolorredit', 'physics', 'of', 'plasmas', '22', '073109', '2015', 'are', 'observed', 'for', 'both', 'underdense', 'and', 'overdense', 'beams', 'when', 'the', 'beam', 'is', 'overdense', 'and', 'its', 'transverse', 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1,803.00301 | (Sub)Optimal feedback control of mean field multi-population dynamics | We study a multiscale approach for the control of agent-based, two-population
models. The control variable acts over one population of leaders, which
influence the population of followers via the coupling generated by their
interaction. We cast a quadratic optimal control problem for the large-scale
microscale model, which is approximated via a Boltzmann approach. By sampling
solutions of the optimal control problem associated to binary two-population
dynamics, we generate sub-optimal control laws for the kinetic limit of the
multi-population model. We present numerical experiments related to opinion
dynamics assessing the performance of the proposed control design.
| math.OC math.NA | we study a multiscale approach for the control of agentbased twopopulation models the control variable acts over one population of leaders which influence the population of followers via the coupling generated by their interaction we cast a quadratic optimal control problem for the largescale microscale model which is approximated via a boltzmann approach by sampling solutions of the optimal control problem associated to binary twopopulation dynamics we generate suboptimal control laws for the kinetic limit of the multipopulation model we present numerical experiments related to opinion dynamics assessing the performance of the proposed control design | [['we', 'study', 'a', 'multiscale', 'approach', 'for', 'the', 'control', 'of', 'agentbased', 'twopopulation', 'models', 'the', 'control', 'variable', 'acts', 'over', 'one', 'population', 'of', 'leaders', 'which', 'influence', 'the', 'population', 'of', 'followers', 'via', 'the', 'coupling', 'generated', 'by', 'their', 'interaction', 'we', 'cast', 'a', 'quadratic', 'optimal', 'control', 'problem', 'for', 'the', 'largescale', 'microscale', 'model', 'which', 'is', 'approximated', 'via', 'a', 'boltzmann', 'approach', 'by', 'sampling', 'solutions', 'of', 'the', 'optimal', 'control', 'problem', 'associated', 'to', 'binary', 'twopopulation', 'dynamics', 'we', 'generate', 'suboptimal', 'control', 'laws', 'for', 'the', 'kinetic', 'limit', 'of', 'the', 'multipopulation', 'model', 'we', 'present', 'numerical', 'experiments', 'related', 'to', 'opinion', 'dynamics', 'assessing', 'the', 'performance', 'of', 'the', 'proposed', 'control', 'design']] | [-0.11892932814202811, 0.04333697194723706, -0.09747935876887488, 0.06794734889469844, -0.09450692944228649, -0.14381739258472073, 0.08685049466347616, 0.34611332843962467, -0.32989950733945556, -0.3054928690293118, 0.09780370086725605, -0.2150309209877282, -0.1856764333910848, 0.19288424237288143, -0.025689069961050623, 0.09207421506902105, 0.05382797817797645, -0.015791276371792742, 0.032952904662019326, -0.22638748298938338, 0.30585449814649396, 0.07801269226168331, 0.2919280026598196, -0.04576661292169439, 0.18846126380131434, 0.014657197451513065, -0.008533981927719555, 0.04019888203198972, -0.14812922199795905, 0.14208887980907764, 0.23583916813172676, 0.1284741442724082, 0.3756809509604385, -0.4112851144966522, -0.2476347876810714, 0.09688660489689363, 0.13406127451698444, 0.12016613378287538, -0.06950622246429128, -0.26363095783407947, 0.05996797501085032, -0.20834797010021774, -0.1258780147292112, -0.05835388692610554, -0.06372788154373044, 0.05801531884659964, -0.3292646009082857, 0.0796347359366911, 0.038637667075779876, 0.025859061559956324, -0.1277372796186491, -0.04651805801121028, -0.005463543808773944, 0.15463830555642122, 0.0290339084489173, -0.043623217584957415, 0.1675522977486253, -0.16481061485828832, -0.1744722817595558, 0.3853623066293566, -0.053219120341696236, -0.2608639705337976, 0.14930978697773659, -0.0478555718927007, -0.08195527786094892, 0.10695165385933299, 0.26963724126843247, 0.14915988855063916, -0.18150132781776943, 0.04665960280812884, -0.06089158270900187, 0.16558512239471862, -0.037742279876807804, -0.03932894602123844, 0.1691124394462493, 0.24232710266583843, 0.08629964792022579, 0.14601825031108762, -0.03953589704929312, -0.21544684501070727, -0.24223884495073242, -0.05781560355405274, -0.15152318480571633, 0.04370862479248133, -0.09922958074725773, -0.15336775140542733, 0.4244552296096165, 0.1988443361987409, 0.13803940487927513, 0.08764632142050878, 0.26748470689023013, 0.15169689923181737, 0.007273970659528123, 0.06037766563853151, 0.21625696179077128, 0.09598845594905708, 0.06170276791519044, -0.3320658096492192, 0.0962589083729606, 0.07289559671557264] |
1,803.00302 | Parallel plate capacitor analogy of equatorial plasma bubble and
associated fringe fields with implications to equatorial valley region
irregularities | VHF radar echoes from the valley region plasma irregularities, displaying
ascending pattern, are often observed during the active phase of equatorial
plasma bubble in the close vicinity of the geomagnetic equator and have been
attributed to bubble-related fringe field effect. These irregularities however
are not observed at a few degrees away from the equator. In this paper, we
attempt to understand this contrasting observational result by comparing fringe
field at the geomagnetic equator and low latitudes. We use parallel plate
capacitor analogy of equatorial plasma bubble and choose a few capacitor
configurations, consistent with commonly observed dimension and magnetic
field-aligned property of plasma bubble, for computing fringe field. Results
show that fringe field decreases significantly with decreasing altitude as
expected. Further, fringe field decreases remarkably with latitude, which
clearly indicates the role of magnetic field-aligned property of plasma bubble
in reducing the magnitude of fringe field at low latitudes compared to that at
the geomagnetic equator. The results are presented and discussed in the light
of current understanding of plasma bubble-associated fringe field-induced
plasma irregularities in the valley region.
| physics.space-ph physics.flu-dyn | vhf radar echoes from the valley region plasma irregularities displaying ascending pattern are often observed during the active phase of equatorial plasma bubble in the close vicinity of the geomagnetic equator and have been attributed to bubblerelated fringe field effect these irregularities however are not observed at a few degrees away from the equator in this paper we attempt to understand this contrasting observational result by comparing fringe field at the geomagnetic equator and low latitudes we use parallel plate capacitor analogy of equatorial plasma bubble and choose a few capacitor configurations consistent with commonly observed dimension and magnetic fieldaligned property of plasma bubble for computing fringe field results show that fringe field decreases significantly with decreasing altitude as expected further fringe field decreases remarkably with latitude which clearly indicates the role of magnetic fieldaligned property of plasma bubble in reducing the magnitude of fringe field at low latitudes compared to that at the geomagnetic equator the results are presented and discussed in the light of current understanding of plasma bubbleassociated fringe fieldinduced plasma irregularities in the valley region | [['vhf', 'radar', 'echoes', 'from', 'the', 'valley', 'region', 'plasma', 'irregularities', 'displaying', 'ascending', 'pattern', 'are', 'often', 'observed', 'during', 'the', 'active', 'phase', 'of', 'equatorial', 'plasma', 'bubble', 'in', 'the', 'close', 'vicinity', 'of', 'the', 'geomagnetic', 'equator', 'and', 'have', 'been', 'attributed', 'to', 'bubblerelated', 'fringe', 'field', 'effect', 'these', 'irregularities', 'however', 'are', 'not', 'observed', 'at', 'a', 'few', 'degrees', 'away', 'from', 'the', 'equator', 'in', 'this', 'paper', 'we', 'attempt', 'to', 'understand', 'this', 'contrasting', 'observational', 'result', 'by', 'comparing', 'fringe', 'field', 'at', 'the', 'geomagnetic', 'equator', 'and', 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1,803.00303 | Classifying flows and buffer state for YouTube's HTTP adaptive streaming
service in mobile networks | Accurate cross-layer information is very useful to optimize mobile networks
for specific applications. However, providing application-layer information to
lower protocol layers has become very difficult due to the wide adoption of
end-to-end encryption and due to the absence of cross-layer signaling
standards. As an alternative, this paper presents a traffic profiling solution
to passively estimate parameters of HTTP Adaptive Streaming (HAS) applications
at the lower layers. By observing IP packet arrivals, our machine learning
system identifies video flows and detects the state of an HAS client's
play-back buffer in real time. Our experiments with YouTube's mobile client
show that Random Forests achieve very high accuracy even with a strong
variation of link quality. Since this high performance is achieved at IP level
with a small, generic feature set, our approach requires no Deep Packet
Inspection (DPI), comes at low complexity, and does not interfere with
end-to-end encryption. Traffic profiling is, thus, a powerful new tool for
monitoring and managing even encrypted HAS traffic in mobile networks.
| cs.MM | accurate crosslayer information is very useful to optimize mobile networks for specific applications however providing applicationlayer information to lower protocol layers has become very difficult due to the wide adoption of endtoend encryption and due to the absence of crosslayer signaling standards as an alternative this paper presents a traffic profiling solution to passively estimate parameters of http adaptive streaming has applications at the lower layers by observing ip packet arrivals our machine learning system identifies video flows and detects the state of an has clients playback buffer in real time our experiments with youtubes mobile client show that random forests achieve very high accuracy even with a strong variation of link quality since this high performance is achieved at ip level with a small generic feature set our approach requires no deep packet inspection dpi comes at low complexity and does not interfere with endtoend encryption traffic profiling is thus a powerful new tool for monitoring and managing even encrypted has traffic in mobile networks | [['accurate', 'crosslayer', 'information', 'is', 'very', 'useful', 'to', 'optimize', 'mobile', 'networks', 'for', 'specific', 'applications', 'however', 'providing', 'applicationlayer', 'information', 'to', 'lower', 'protocol', 'layers', 'has', 'become', 'very', 'difficult', 'due', 'to', 'the', 'wide', 'adoption', 'of', 'endtoend', 'encryption', 'and', 'due', 'to', 'the', 'absence', 'of', 'crosslayer', 'signaling', 'standards', 'as', 'an', 'alternative', 'this', 'paper', 'presents', 'a', 'traffic', 'profiling', 'solution', 'to', 'passively', 'estimate', 'parameters', 'of', 'http', 'adaptive', 'streaming', 'has', 'applications', 'at', 'the', 'lower', 'layers', 'by', 'observing', 'ip', 'packet', 'arrivals', 'our', 'machine', 'learning', 'system', 'identifies', 'video', 'flows', 'and', 'detects', 'the', 'state', 'of', 'an', 'has', 'clients', 'playback', 'buffer', 'in', 'real', 'time', 'our', 'experiments', 'with', 'youtubes', 'mobile', 'client', 'show', 'that', 'random', 'forests', 'achieve', 'very', 'high', 'accuracy', 'even', 'with', 'a', 'strong', 'variation', 'of', 'link', 'quality', 'since', 'this', 'high', 'performance', 'is', 'achieved', 'at', 'ip', 'level', 'with', 'a', 'small', 'generic', 'feature', 'set', 'our', 'approach', 'requires', 'no', 'deep', 'packet', 'inspection', 'dpi', 'comes', 'at', 'low', 'complexity', 'and', 'does', 'not', 'interfere', 'with', 'endtoend', 'encryption', 'traffic', 'profiling', 'is', 'thus', 'a', 'powerful', 'new', 'tool', 'for', 'monitoring', 'and', 'managing', 'even', 'encrypted', 'has', 'traffic', 'in', 'mobile', 'networks']] | [-0.20226899854535887, 0.018040706461235175, -0.054071814983140634, 0.02913565050701173, -0.09072050633587796, -0.26552832870553417, 0.117045606440915, 0.42283420476232125, -0.27198012572073615, -0.3307763673028494, 0.10731493218953396, -0.26822481051940156, -0.13108677134171678, 0.1985359231419637, -0.1531323947584683, 0.10888614458121719, 0.11570572327676577, 0.022763984792596514, -0.007352403052297073, -0.26442463479302153, 0.2578865194914818, 0.11632875650991399, 0.3836730075551264, 0.09103687850096409, 0.11167028314659809, 0.027676999149563532, -0.02350323394793703, -0.060559528377692566, -0.026332058201879557, 0.13540147167787583, 0.3599143743133509, 0.19401905235710992, 0.31846665440362887, -0.44157771673053503, -0.26268303068214466, 0.06263155627333705, 0.17186149798090997, 0.09978450856912117, -0.09225226487089173, -0.2793318547185017, 0.16764870789378927, -0.20660031601332174, -0.04498782914716762, -0.10263018532100705, 0.0044720243755166965, -0.008931789539490703, -0.2914005195783698, -0.019743541648319686, -0.026241116377550278, 0.07815946225379874, -0.005909555522740415, -0.031831180474143024, 0.02354157947323633, 0.2032993168805737, 0.02759670234896826, 0.06062118965148482, 0.14488112037799444, -0.16450595793367576, -0.09260358347863251, 0.38319796978507237, -0.041210653720401134, -0.1358155814414642, 0.2327259111509894, 0.007237937113449696, -0.13364470226084252, 0.17699667065213603, 0.2327837759673775, 0.06170066285048084, -0.17022752227171897, -0.00023959593897186085, -0.002701154096523322, 0.22545349215583718, 0.06380996633501981, 0.07618447750209303, 0.16028779713824076, 0.2598630026521453, 0.1377029006666762, 0.09401515739723053, -0.10607576807568142, -0.06534486840176115, -0.16124586275139127, -0.14041951784353174, -0.18917950756247548, 0.004062119426843233, -0.11059269369320372, -0.13613052437424167, 0.34730045639219725, 0.1833162526516784, 0.1735059963034309, 0.11604000200624073, 0.4191655608634633, 0.07252874943304664, 0.10764910867269409, 0.14906578005785234, 0.16473791864139578, 0.0017265750471143477, 0.23143086042142955, -0.14975636440093618, 0.17762640122245682, -0.010250825726662773] |
1,803.00304 | Topological sensitivities via a Lagrangian approach for semi-linear
problems | In this paper we present a methodology that allows the efficient computation
of the topological derivative for semilinear elliptic problems within the
averaged adjoint Lagrangian framework. The generality of our approach should
also allow the extension to evolutionary problems and other nonlinear problems.
Our strategy relies on a rescaled differential quotient of the averaged adjoint
state variable which we show converges weakly to a function satisfying an
equation defined in the whole space. A unique feature and advantage of this
framework is that we only need to work with weakly converging subsequences of
the differential quotient. This allows the computation of the topological
sensitivity within a simple functional analytic framework under mild
assumptions.
| math.OC | in this paper we present a methodology that allows the efficient computation of the topological derivative for semilinear elliptic problems within the averaged adjoint lagrangian framework the generality of our approach should also allow the extension to evolutionary problems and other nonlinear problems our strategy relies on a rescaled differential quotient of the averaged adjoint state variable which we show converges weakly to a function satisfying an equation defined in the whole space a unique feature and advantage of this framework is that we only need to work with weakly converging subsequences of the differential quotient this allows the computation of the topological sensitivity within a simple functional analytic framework under mild assumptions | [['in', 'this', 'paper', 'we', 'present', 'a', 'methodology', 'that', 'allows', 'the', 'efficient', 'computation', 'of', 'the', 'topological', 'derivative', 'for', 'semilinear', 'elliptic', 'problems', 'within', 'the', 'averaged', 'adjoint', 'lagrangian', 'framework', 'the', 'generality', 'of', 'our', 'approach', 'should', 'also', 'allow', 'the', 'extension', 'to', 'evolutionary', 'problems', 'and', 'other', 'nonlinear', 'problems', 'our', 'strategy', 'relies', 'on', 'a', 'rescaled', 'differential', 'quotient', 'of', 'the', 'averaged', 'adjoint', 'state', 'variable', 'which', 'we', 'show', 'converges', 'weakly', 'to', 'a', 'function', 'satisfying', 'an', 'equation', 'defined', 'in', 'the', 'whole', 'space', 'a', 'unique', 'feature', 'and', 'advantage', 'of', 'this', 'framework', 'is', 'that', 'we', 'only', 'need', 'to', 'work', 'with', 'weakly', 'converging', 'subsequences', 'of', 'the', 'differential', 'quotient', 'this', 'allows', 'the', 'computation', 'of', 'the', 'topological', 'sensitivity', 'within', 'a', 'simple', 'functional', 'analytic', 'framework', 'under', 'mild', 'assumptions']] | [-0.10861768742479318, 0.02840197294555394, -0.15336139355600703, 0.052322940855591964, -0.13481135255929116, -0.09058130339233089, 0.02936745870063098, 0.3396030766312527, -0.32260465611646, -0.25172774568694617, 0.08321447173634182, -0.22062624616376372, -0.17631752851658164, 0.1870637693302294, -0.08068834811982707, 0.10213644893642153, 0.08101901724374136, 0.04421946057530565, -0.10843359569779935, -0.24635189643904434, 0.3649182676675573, -0.02145834350381541, 0.2655230076423129, 0.04198779488977589, 0.1636612638892952, 0.010538592378287453, -0.015301037336641971, 0.020496275032555224, -0.1345532212363385, 0.17356758400698943, 0.25833515701114934, 0.09828918116925432, 0.3182168154342644, -0.3872558306428744, -0.20269333618998, 0.12586793616677808, 0.14801627812923585, 0.07132714853593174, -0.0264090726108793, -0.2670327110001735, 0.11593486948878365, -0.14968022077748205, -0.1537809614462992, -0.1084208011079118, -0.01470217035786636, 0.01305021073636228, -0.31911119713192493, 0.06703391082484926, 0.084517798652312, 0.009519907868409578, -0.07710669343916089, -0.04411165340828289, 0.0050453623072697525, 0.06299460443989498, 0.01926618309864626, 0.017098395269265217, 0.09066897714757814, -0.09289883133394858, -0.07853152577155394, 0.3629690431783685, -0.11982953153031392, -0.27847201822210205, 0.14893167858543616, -0.09291763536928765, -0.1732806197112113, 0.1134266940415269, 0.14198201550253198, 0.20520574569834016, -0.1459099402881961, 0.15516417905733615, -0.06829655510414623, 0.16114367459348478, -0.005409868495884986, 0.0071501695691088656, 0.12624344595633777, 0.1919292544088928, 0.1463570590913955, 0.13364783714502737, -0.03180336403924214, -0.1462716143248619, -0.3656190065048899, -0.1813493635983462, -0.10573727874893003, 0.05106122185583267, -0.09168839764928619, -0.18686508455734074, 0.4297204511116498, 0.17134802834650056, 0.1670899985160316, 0.11784131656116517, 0.2865917328085783, 0.16758635854637002, 0.02442436141324584, 0.06593408924733511, 0.16495307395646794, 0.14302271688398205, 0.08560483853654129, -0.2143754676083284, 0.03399522140193566, 0.11369242323397667] |
1,803.00305 | Room-temperature nanoseconds spin relaxation in WTe2 and MoTe2 thin
films | The Weyl semimetal WTe2 and MoTe2 show great potential in generating large
spin currents since they possess topologically-protected spin-polarized states
and can carry a very large current density. In addition, the intrinsic
noncentrosymmetry of WTe2 and MoTe2 endows with a unique property of crystal
symmetry-controlled spin-orbit torques. An important question to be answered
for developing spintronic devices is how spins relax in WTe2 and MoTe2. Here,
we report a room-temperature spin relaxation time of 1.2 ns (0.4 ns) in WTe2
(MoTe2) thin film using the time-resolved Kerr rotation (TRKR). Based on ab
initio calculation, we identify a mechanism of long-lived spin polarization
resulting from a large spin splitting around the bottom of the conduction band,
low electron-hole recombination rate and suppression of backscattering required
by time-reversal and lattice symmetry operation. In addition, we find the spin
polarization is firmly pinned along the strong internal out-of-plane magnetic
field induced by large spin splitting. Our work provides an insight into the
physical origin of long-lived spin polarization in Weyl semimetals which could
be useful to manipulate spins for a long time at room temperature.
| cond-mat.mtrl-sci | the weyl semimetal wte2 and mote2 show great potential in generating large spin currents since they possess topologicallyprotected spinpolarized states and can carry a very large current density in addition the intrinsic noncentrosymmetry of wte2 and mote2 endows with a unique property of crystal symmetrycontrolled spinorbit torques an important question to be answered for developing spintronic devices is how spins relax in wte2 and mote2 here we report a roomtemperature spin relaxation time of 12 ns 04 ns in wte2 mote2 thin film using the timeresolved kerr rotation trkr based on ab initio calculation we identify a mechanism of longlived spin polarization resulting from a large spin splitting around the bottom of the conduction band low electronhole recombination rate and suppression of backscattering required by timereversal and lattice symmetry operation in addition we find the spin polarization is firmly pinned along the strong internal outofplane magnetic field induced by large spin splitting our work provides an insight into the physical origin of longlived spin polarization in weyl semimetals which could be useful to manipulate spins for a long time at room temperature | [['the', 'weyl', 'semimetal', 'wte2', 'and', 'mote2', 'show', 'great', 'potential', 'in', 'generating', 'large', 'spin', 'currents', 'since', 'they', 'possess', 'topologicallyprotected', 'spinpolarized', 'states', 'and', 'can', 'carry', 'a', 'very', 'large', 'current', 'density', 'in', 'addition', 'the', 'intrinsic', 'noncentrosymmetry', 'of', 'wte2', 'and', 'mote2', 'endows', 'with', 'a', 'unique', 'property', 'of', 'crystal', 'symmetrycontrolled', 'spinorbit', 'torques', 'an', 'important', 'question', 'to', 'be', 'answered', 'for', 'developing', 'spintronic', 'devices', 'is', 'how', 'spins', 'relax', 'in', 'wte2', 'and', 'mote2', 'here', 'we', 'report', 'a', 'roomtemperature', 'spin', 'relaxation', 'time', 'of', '12', 'ns', '04', 'ns', 'in', 'wte2', 'mote2', 'thin', 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1,803.00306 | Fast Algorithms for Indices of Nested Split Graphs Approximating Real
Complex Networks | We present a method based on simulated annealing to obtain a nested split
graph that approximates a real complex graph. This is used to compute a number
of graph indices using very efficient algorithms that we develop, leveraging
the geometrical properties of nested split graphs. Practical results are given
for six graphs from such diverse areas as social networks, communication
networks, word associations, and molecular chemistry. We present a critical
analysis of the appropriate perturbation schemes that search the whole space of
nested split graphs and the distance functions that gauge the dissimilarity
between two graphs.
| cs.DM | we present a method based on simulated annealing to obtain a nested split graph that approximates a real complex graph this is used to compute a number of graph indices using very efficient algorithms that we develop leveraging the geometrical properties of nested split graphs practical results are given for six graphs from such diverse areas as social networks communication networks word associations and molecular chemistry we present a critical analysis of the appropriate perturbation schemes that search the whole space of nested split graphs and the distance functions that gauge the dissimilarity between two graphs | [['we', 'present', 'a', 'method', 'based', 'on', 'simulated', 'annealing', 'to', 'obtain', 'a', 'nested', 'split', 'graph', 'that', 'approximates', 'a', 'real', 'complex', 'graph', 'this', 'is', 'used', 'to', 'compute', 'a', 'number', 'of', 'graph', 'indices', 'using', 'very', 'efficient', 'algorithms', 'that', 'we', 'develop', 'leveraging', 'the', 'geometrical', 'properties', 'of', 'nested', 'split', 'graphs', 'practical', 'results', 'are', 'given', 'for', 'six', 'graphs', 'from', 'such', 'diverse', 'areas', 'as', 'social', 'networks', 'communication', 'networks', 'word', 'associations', 'and', 'molecular', 'chemistry', 'we', 'present', 'a', 'critical', 'analysis', 'of', 'the', 'appropriate', 'perturbation', 'schemes', 'that', 'search', 'the', 'whole', 'space', 'of', 'nested', 'split', 'graphs', 'and', 'the', 'distance', 'functions', 'that', 'gauge', 'the', 'dissimilarity', 'between', 'two', 'graphs']] | [-0.14086970181476013, 0.05221108271750078, -0.10192623009061208, 0.1313461581885349, -0.10929140736698173, -0.0978157371476603, 0.07910901854726642, 0.45453109982190654, -0.26892491604667157, -0.32976221121498384, 0.08281277158433416, -0.22466514694193998, -0.22356401227686243, 0.19186852981692937, -0.028465014887236368, 0.034734063500460856, 0.11839731639580957, 0.012294260047686597, -0.05193091126178236, -0.24013273482917916, 0.340283601040331, 0.004119634017115459, 0.2515600429712019, 0.019445960487549502, 0.10311286092716425, -0.00026429336382231366, -0.023876663168872863, 0.07794279827279145, -0.13145976785896588, 0.19867470011134478, 0.29894291693684255, 0.2032029857946327, 0.2709166560477267, -0.4029273179088098, -0.22085171601308198, 0.16490201273215158, 0.13023755801744605, 0.08978789752776113, -0.03456885906659105, -0.26263642477958155, 0.07893753891524587, -0.11536129088441764, -0.029842575387495646, -0.0964719660381282, -0.002469346465659328, 0.04836890066508204, -0.2606539476837497, -0.006454307735718127, -0.005562803281160693, 0.06470571465130585, 0.028318146246116765, -0.13197216148061366, 0.004903184904833324, 0.1606977334546779, -0.07491281538629362, 0.008987718135661757, 0.11797008074063342, -0.07288911242843217, -0.20569169003283605, 0.3855663383437786, -0.019302694037226804, -0.1918252307458109, 0.19473558168829186, -0.04327575170706647, -0.20264543105925745, 0.0981042968390587, 0.2154279858902252, 0.13509665999057083, -0.13936703760919045, 0.06371785035177406, -0.06856304888303082, 0.15500903013283582, 0.068880116736788, 0.0013902080536354333, 0.1172681054546653, 0.18616825980764892, 0.10147829498843446, 0.18725995706093576, -0.05136994068986193, -0.09779806591298741, -0.24291179979142422, -0.10780821007210761, -0.23657543651158144, 0.0032069055754012274, -0.2061386587395949, -0.2471447557278831, 0.426274621776732, 0.148231292104659, 0.1952804547327105, 0.11097360460553318, 0.28761384400422685, 0.051630972611746984, 0.08357187539513689, 0.1349975991421767, 0.11513638125082555, 0.1453179741771843, 0.042738967948632, -0.15096349956002086, 0.025113239498750772, 0.08356772768699254] |
1,803.00307 | On Magnetic Inhibition Theory in Non-resistive Magnetohydrodynamic
Fluids | We investigate why the non-slip boundary condition for the velocity, imposed
in the direction of impressed magnetic fields, can contribute to the magnetic
inhibition effect based on the nonhomogeneous magnetic Rayleigh--Taylor (abbr.
NMRT) problem in non-resistive magnetohydrodynamic (abbr. MHD) fluids.
Exploiting an infinitesimal method in Lagrangian coordinates, the idea of
(equivalent) magnetic tension, and the differential version of magnetic flux
conservation, we give an explanation of physical mechanism for the magnetic
inhibition phenomenon in a non-resistive MHD fluid. Moreover, we find that the
magnetic energy in the non-resistive MHD fluid depends on the displacement of
fluid particles, and thus can be regarded as elastic potential energy.
Motivated by this observation, we further use the well-known minimum potential
energy principle to explain the physical meaning of the stability/instability
criteria in the NMRT problem. As a result of the analysis, we further extend
the results on the NMRT problem to the stratified MHD fluid case. We point out
that our magnetic inhibition theory can be used to explain the inhibition
phenomenon of other instabilities, such as thermal instability, magnetic
buoyancy instability, and so on, by impressed magnetic fields in non-resistive
MHD fluids.
| math-ph math.MP | we investigate why the nonslip boundary condition for the velocity imposed in the direction of impressed magnetic fields can contribute to the magnetic inhibition effect based on the nonhomogeneous magnetic rayleightaylor abbr nmrt problem in nonresistive magnetohydrodynamic abbr mhd fluids exploiting an infinitesimal method in lagrangian coordinates the idea of equivalent magnetic tension and the differential version of magnetic flux conservation we give an explanation of physical mechanism for the magnetic inhibition phenomenon in a nonresistive mhd fluid moreover we find that the magnetic energy in the nonresistive mhd fluid depends on the displacement of fluid particles and thus can be regarded as elastic potential energy motivated by this observation we further use the wellknown minimum potential energy principle to explain the physical meaning of the stabilityinstability criteria in the nmrt problem as a result of the analysis we further extend the results on the nmrt problem to the stratified mhd fluid case we point out that our magnetic inhibition theory can be used to explain the inhibition phenomenon of other instabilities such as thermal instability magnetic buoyancy instability and so on by impressed magnetic fields in nonresistive mhd fluids | [['we', 'investigate', 'why', 'the', 'nonslip', 'boundary', 'condition', 'for', 'the', 'velocity', 'imposed', 'in', 'the', 'direction', 'of', 'impressed', 'magnetic', 'fields', 'can', 'contribute', 'to', 'the', 'magnetic', 'inhibition', 'effect', 'based', 'on', 'the', 'nonhomogeneous', 'magnetic', 'rayleightaylor', 'abbr', 'nmrt', 'problem', 'in', 'nonresistive', 'magnetohydrodynamic', 'abbr', 'mhd', 'fluids', 'exploiting', 'an', 'infinitesimal', 'method', 'in', 'lagrangian', 'coordinates', 'the', 'idea', 'of', 'equivalent', 'magnetic', 'tension', 'and', 'the', 'differential', 'version', 'of', 'magnetic', 'flux', 'conservation', 'we', 'give', 'an', 'explanation', 'of', 'physical', 'mechanism', 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1,803.00308 | Entangling power of holonomic gates in atom-cavity systems | Our goal is to provide a new approach to the construction of geometry-induced
entanglement between a pair of $\Lambda$ type atoms in a system consists of $N$
identical atoms by means of nonadiabatic quantum holonomies. By employing the
quantum Zeno effect, we introduce a tripod type interaction Hamiltonian between
two selected atoms trapped in an optical cavity, which allows arbitrary
geometric entangling power. This would be a substantial step toward resolving
the feasibility of realizing universal nonadiabatic holonomic entangling
two-qubit gates.
| quant-ph | our goal is to provide a new approach to the construction of geometryinduced entanglement between a pair of lambda type atoms in a system consists of n identical atoms by means of nonadiabatic quantum holonomies by employing the quantum zeno effect we introduce a tripod type interaction hamiltonian between two selected atoms trapped in an optical cavity which allows arbitrary geometric entangling power this would be a substantial step toward resolving the feasibility of realizing universal nonadiabatic holonomic entangling twoqubit gates | [['our', 'goal', 'is', 'to', 'provide', 'a', 'new', 'approach', 'to', 'the', 'construction', 'of', 'geometryinduced', 'entanglement', 'between', 'a', 'pair', 'of', 'lambda', 'type', 'atoms', 'in', 'a', 'system', 'consists', 'of', 'n', 'identical', 'atoms', 'by', 'means', 'of', 'nonadiabatic', 'quantum', 'holonomies', 'by', 'employing', 'the', 'quantum', 'zeno', 'effect', 'we', 'introduce', 'a', 'tripod', 'type', 'interaction', 'hamiltonian', 'between', 'two', 'selected', 'atoms', 'trapped', 'in', 'an', 'optical', 'cavity', 'which', 'allows', 'arbitrary', 'geometric', 'entangling', 'power', 'this', 'would', 'be', 'a', 'substantial', 'step', 'toward', 'resolving', 'the', 'feasibility', 'of', 'realizing', 'universal', 'nonadiabatic', 'holonomic', 'entangling', 'twoqubit', 'gates']] | [-0.21510586034927667, 0.2080191877790235, -0.05741795309370867, -0.03047444354052897, 0.014112002477854674, -0.26204382685116595, 0.08080398133398252, 0.35572426448817607, -0.22662820242759255, -0.2671776956499175, -0.06921963774553144, -0.21093117579962214, -0.09705777331197887, 0.2251645483099568, -0.060807942644187055, 0.0822711012866578, 0.054181642910856524, -0.030768461553825434, -0.05843896661413672, -0.2149148586962119, 0.3030333282127057, 0.040684728558393723, 0.22940861093984158, 0.021990219144047134, 0.12114598780847442, 0.0027291159818155896, 0.0818859992755784, -0.02648929154707326, -0.09241718005958116, 0.16053132059837313, 0.2454657126742668, 0.048583938682704796, 0.27818019818054673, -0.4625719669562431, -0.1463343038386809, 0.10640260328849156, 0.15002982225125355, 0.21809784464256401, -0.05190989690154423, -0.3256775621083324, -0.03992615292929573, -0.19231026779492327, -0.14157710622501685, -0.11469796716155094, 0.034374083012894345, -0.037504574927834815, -0.24696038294307612, 0.010430047075827549, 0.08945244102290383, 0.06452105111545986, 0.026091684868277544, 0.044253603223262834, 0.045647075557851316, 0.08859083143258352, -0.1366917289086376, 0.011656421401974872, 0.1571387466514644, -0.06258080718912368, -0.15191974907676564, 0.3589340616477492, -0.05280753680401378, -0.1772615217178324, 0.14089735938856998, -0.06739046335806725, -0.07264646258849053, 0.07688788076816702, 0.09822186446794665, 0.10636691093720772, -0.12879038029522807, 0.09974326610703159, 0.006566549580900666, 0.1657409723388192, 0.0737262372456399, 0.11300482575632172, 0.25173659567479734, 0.12636826697874953, 0.09902559645060036, 0.24045625144334073, -0.06690449218185228, -0.15516580197454236, -0.3691480141018092, -0.2095465047754215, -0.24057691412069548, 0.12653564808338327, -0.09588801404777454, -0.12730143789523912, 0.4126541591996764, 0.09199504837117813, 0.17824652814018874, -0.023761775461025536, 0.3044991172551189, 0.10031211160749978, 0.05135594940180948, 0.019256003793145036, 0.2442014250950313, 0.17570961301824378, -0.02569914970225022, -0.36030207393277025, -0.012236957570514928, 0.1092813167847509] |
1,803.00309 | Schwarzschild $1/r$-singularity is not permissible in ghost free
quadratic curvature infinite derivative gravity | In this paper we will study the complete equations of motion for a ghost free
quadratic curvature infinite derivative gravity. We will argue that within the
scale of non-locality, Schwarzschild-type singular metric solution is not {\it
permissible}. Therefore, Schwarzschild-type vacuum solution which is a
prediction in Einstein-Hilbert gravity may {\it not} persist within the region
of non-locality. We will also show that just quadratic curvature gravity,
without infinite derivatives, always allows Schwarzschild-type singular metric
solution.
| gr-qc astro-ph.HE hep-th | in this paper we will study the complete equations of motion for a ghost free quadratic curvature infinite derivative gravity we will argue that within the scale of nonlocality schwarzschildtype singular metric solution is not it permissible therefore schwarzschildtype vacuum solution which is a prediction in einsteinhilbert gravity may it not persist within the region of nonlocality we will also show that just quadratic curvature gravity without infinite derivatives always allows schwarzschildtype singular metric solution | [['in', 'this', 'paper', 'we', 'will', 'study', 'the', 'complete', 'equations', 'of', 'motion', 'for', 'a', 'ghost', 'free', 'quadratic', 'curvature', 'infinite', 'derivative', 'gravity', 'we', 'will', 'argue', 'that', 'within', 'the', 'scale', 'of', 'nonlocality', 'schwarzschildtype', 'singular', 'metric', 'solution', 'is', 'not', 'it', 'permissible', 'therefore', 'schwarzschildtype', 'vacuum', 'solution', 'which', 'is', 'a', 'prediction', 'in', 'einsteinhilbert', 'gravity', 'may', 'it', 'not', 'persist', 'within', 'the', 'region', 'of', 'nonlocality', 'we', 'will', 'also', 'show', 'that', 'just', 'quadratic', 'curvature', 'gravity', 'without', 'infinite', 'derivatives', 'always', 'allows', 'schwarzschildtype', 'singular', 'metric', 'solution']] | [-0.2136402276655038, 0.12931037488703925, -0.1422611840829874, 0.11949400189798326, -0.16790494265655675, -0.15417234735252958, -0.04441453587108602, 0.304875651995341, -0.23688994678358236, -0.22032339349389077, 0.10763219099802275, -0.27865778537176084, -0.18581179118404786, 0.10726279159386953, -0.1292729212595926, 0.029502291505535443, 0.05091187211374442, 0.11928623462716738, -0.09375805824374159, -0.24904194216243922, 0.37053237708906334, 0.03352713909310599, 0.18178851178536812, 0.10881231721490621, 0.13951630576203267, -0.06191845912486315, 0.046789151144524414, 0.10733118240411083, -0.17444923007957794, 0.029525507216652234, 0.24887389632562795, 0.10392301907142003, 0.3169118990997473, -0.39231449532012147, -0.25126730899016064, 0.14548632431775332, 0.1492544661462307, 0.15860964485133688, -0.004547395481107136, -0.26023639063040416, 0.061669978105152644, -0.1656247871990005, -0.19725449981788795, -0.09389126613736153, 0.0053198062007625896, -0.13777432255757352, -0.2153893014167746, 0.10608457255914497, 0.06041732878113786, -0.04849013830224673, -0.1374314888450317, -0.02076778554668029, -0.016805614878733954, 0.015549207118650278, 0.07093431345187128, 0.026324663885558645, 0.08717399918163816, -0.11666272994751732, -0.046862604208290574, 0.36881241304799917, -0.15734287403523922, -0.29797422245765726, 0.08906968315442403, -0.21873610160003107, -0.10939929614464441, 0.11602159334470344, 0.11021380963424841, 0.17848388525346914, -0.16409643030414978, 0.17607088308781385, -0.012748032283658783, 0.1560071681936582, 0.13344827719653646, 0.04175724680225054, 0.2401967770854632, 0.0470082172503074, 0.1433692067116499, 0.11025320867697398, -0.005719337879369657, -0.1426537219559153, -0.43939936846494676, -0.18961765659352145, -0.15391792373110852, 0.11534224161606592, -0.16335858253762126, -0.2278219215820233, 0.3318046901250879, 0.15193648858151088, 0.05944480056564013, 0.09124034726216147, 0.2353508977095286, 0.1005357742557923, 0.10306612224628528, 0.08879896224786837, 0.30775081776082513, 0.06445653066970408, 0.08726020224702855, -0.20088490674893061, -0.03125634316975872, 0.10846840319534143] |
1,803.0031 | Minimax rates for cost-sensitive learning on manifolds with approximate
nearest neighbours | We study the approximate nearest neighbour method for cost-sensitive
classification on low-dimensional manifolds embedded within a high-dimensional
feature space. We determine the minimax learning rates for distributions on a
smooth manifold, in a cost-sensitive setting. This generalises a classic result
of Audibert and Tsybakov. Building upon recent work of Chaudhuri and Dasgupta
we prove that these minimax rates are attained by the approximate nearest
neighbour algorithm, where neighbours are computed in a randomly projected
low-dimensional space. In addition, we give a bound on the number of dimensions
required for the projection which depends solely upon the reach and dimension
of the manifold, combined with the regularity of the marginal.
| cs.LG stat.ML | we study the approximate nearest neighbour method for costsensitive classification on lowdimensional manifolds embedded within a highdimensional feature space we determine the minimax learning rates for distributions on a smooth manifold in a costsensitive setting this generalises a classic result of audibert and tsybakov building upon recent work of chaudhuri and dasgupta we prove that these minimax rates are attained by the approximate nearest neighbour algorithm where neighbours are computed in a randomly projected lowdimensional space in addition we give a bound on the number of dimensions required for the projection which depends solely upon the reach and dimension of the manifold combined with the regularity of the marginal | [['we', 'study', 'the', 'approximate', 'nearest', 'neighbour', 'method', 'for', 'costsensitive', 'classification', 'on', 'lowdimensional', 'manifolds', 'embedded', 'within', 'a', 'highdimensional', 'feature', 'space', 'we', 'determine', 'the', 'minimax', 'learning', 'rates', 'for', 'distributions', 'on', 'a', 'smooth', 'manifold', 'in', 'a', 'costsensitive', 'setting', 'this', 'generalises', 'a', 'classic', 'result', 'of', 'audibert', 'and', 'tsybakov', 'building', 'upon', 'recent', 'work', 'of', 'chaudhuri', 'and', 'dasgupta', 'we', 'prove', 'that', 'these', 'minimax', 'rates', 'are', 'attained', 'by', 'the', 'approximate', 'nearest', 'neighbour', 'algorithm', 'where', 'neighbours', 'are', 'computed', 'in', 'a', 'randomly', 'projected', 'lowdimensional', 'space', 'in', 'addition', 'we', 'give', 'a', 'bound', 'on', 'the', 'number', 'of', 'dimensions', 'required', 'for', 'the', 'projection', 'which', 'depends', 'solely', 'upon', 'the', 'reach', 'and', 'dimension', 'of', 'the', 'manifold', 'combined', 'with', 'the', 'regularity', 'of', 'the', 'marginal']] | [-0.07684777771045856, 0.02843052276982627, -0.03478889240789304, 0.07544328466617425, -0.043151968893586495, -0.13230829397130997, 0.10972015093157597, 0.38174265670940416, -0.24365053762502353, -0.2663564939487623, 0.11804327334772897, -0.23263772945731467, -0.1644687923440419, 0.17964986780094444, -0.10696533008974148, 0.04648747954543236, 0.0668014772578117, 0.06593864327382057, -0.10331856624283102, -0.33081618752843195, 0.36153941358003866, 0.025317609686096875, 0.28163509900519335, -0.014518752096032877, 0.13140063544034686, 0.062100728294478914, -0.024552959443599736, 0.01682728261701814, -0.1533520212752767, 0.18681834528752422, 0.23955736290065383, 0.12164822185343695, 0.30475940218477277, -0.35529611987454834, -0.1976093099230405, 0.14082360971471244, 0.14043318464232762, 0.10694841752704574, -0.02701051608518347, -0.3079030007645146, 0.0796348306034273, -0.12111878987196661, -0.08205856876704123, -0.10106579497789776, -0.014418081235174738, 0.024935587572036396, -0.3169075541984324, 0.0630003057779112, 0.1263493010432485, 0.028021385068706144, -0.07675834985261937, -0.14172918654961186, 0.018555479077195083, 0.07579497521670553, -0.006613432318655723, 0.08583931984388432, 0.09902426096879868, -0.09265303047621674, -0.12846528717376496, 0.30127470308184245, -0.07137097249132231, -0.23209625944802795, 0.20905472914402057, -0.08815677303056138, -0.16690033904934695, 0.0815457374096737, 0.251802671700716, 0.1760503842640634, -0.0934608937732431, 0.13388298848620403, -0.07379502275052967, 0.09648024299130732, 0.03944406534199082, -0.009864917490631342, 0.1137625101116409, 0.1832363063324277, 0.1507799169304994, 0.1225572195536363, -0.11277465520366821, -0.12644352463133837, -0.25994235255521586, -0.1452376450259247, -0.26300509626028734, 0.020434084391101785, -0.15762968867156898, -0.14167711671886093, 0.3643529569525101, 0.10571557366921472, 0.28738431378754725, 0.13231481475554782, 0.24393525145362652, 0.07091033310894299, 0.009817140867907997, 0.13544604124356097, 0.2387471609287511, 0.10736755507468425, -0.004719616934964689, -0.16896390819435067, 0.07083699951554999, 0.17475994799602265] |
1,803.00311 | The quantum determinant of the elliptic algebra
$\mathcal{A}_{q,p}(\mathfrak{\widehat{gl}}_N)$ | We introduce the quantum determinant for the elliptic quantum algebra
$\mathcal{A}_{q,p}(\mathfrak{\widehat{gl}}_N)$ and prove that it generates the
center of this algebra.
| math.QA math-ph math.MP | we introduce the quantum determinant for the elliptic quantum algebra mathcala_qpmathfrakwidehatgl_n and prove that it generates the center of this algebra | [['we', 'introduce', 'the', 'quantum', 'determinant', 'for', 'the', 'elliptic', 'quantum', 'algebra', 'mathcala_qpmathfrakwidehatgl_n', 'and', 'prove', 'that', 'it', 'generates', 'the', 'center', 'of', 'this', 'algebra']] | [-0.16650019912049174, 0.10076002166606486, -0.11217822562903165, 0.05332348138908856, -0.07841645795851945, -0.1373513052240014, -0.07636791032273323, 0.2950399309396744, -0.39289513789117336, -0.17625222532078624, 0.10452836898621172, -0.25906466972082853, -0.20303005464375018, 0.20266340328380467, -0.09196248276857659, 0.009614650160074234, 0.1324113065376878, 0.14585708128288388, -0.10957350292010233, -0.20681006772210822, 0.4296978499740362, -0.02245399464154616, 0.23186269607394933, 0.08083549386356026, 0.2090148483403027, 0.08918269164860249, 0.04817977221682668, -0.08222763985395432, -0.13970107325767459, 0.17917606700211763, 0.2953953343443573, 0.0888865255168639, 0.21143358836416154, -0.3608456516638398, -0.1108628289308399, 0.16222303952090442, 0.11686759777367114, 0.11894780251896009, -0.1165179095347412, -0.2382497272454202, 0.14514323184266686, -0.23658994007855655, -0.15931622727075592, -0.08152438154211268, 0.03268782878294587, -0.09096969310194254, -0.2289008073043078, 0.030298572732135653, 0.09509791946038604, 0.11186426240019501, -0.025305809429846705, -0.0459019023925066, -0.0010072922334074974, 0.06783921152818947, -0.12398236540611833, 0.0248052072012797, 0.1393360315123573, -0.0763681796262972, -0.1631408710964024, 0.3489804372191429, 0.03251651739701629, -0.21368708368390799, 0.03263932194095105, -0.16529256706126033, -0.1735441429540515, -0.017139138467609883, 0.07697102800011635, 0.09782839976251126, 0.010399871645495296, 0.2143147697643144, -0.12738188463263214, 0.0670594094786793, 0.016389547707512976, 0.006012847111560404, 0.13875911459326745, 0.02627027193084359, 0.10408864375203848, 0.21943694818764925, -0.006037238985300064, -0.16962387785315514, -0.38174096643924715, -0.3013827381655574, -0.13951287614181637, 0.18661254774779082, -0.09704604148791987, -0.22678960114717484, 0.44067031517624855, 0.22314196322113275, 0.16486454624682664, 0.09101631012745201, 0.19752354323863983, 0.22806157367303967, 0.1579638040624559, 0.11772280032746493, 0.17247751811519266, 0.20218273159116507, 0.09039830835536122, -0.2630461155902594, -0.06734375988598913, 0.21917404122650624] |
1,803.00312 | Monotone subsequence via ultrapower | An ultraproduct can be a helpful organizing principle in presenting solutions
of problems at many levels, as argued by Terence Tao. We apply it here to the
solution of a calculus problem: every infinite sequence has a monotone infinite
subsequence, and give other applications.
Keywords: ordered structures; monotone subsequence; ultrapower; saturation;
compactness
| math.CA math.LO | an ultraproduct can be a helpful organizing principle in presenting solutions of problems at many levels as argued by terence tao we apply it here to the solution of a calculus problem every infinite sequence has a monotone infinite subsequence and give other applications keywords ordered structures monotone subsequence ultrapower saturation compactness | [['an', 'ultraproduct', 'can', 'be', 'a', 'helpful', 'organizing', 'principle', 'in', 'presenting', 'solutions', 'of', 'problems', 'at', 'many', 'levels', 'as', 'argued', 'by', 'terence', 'tao', 'we', 'apply', 'it', 'here', 'to', 'the', 'solution', 'of', 'a', 'calculus', 'problem', 'every', 'infinite', 'sequence', 'has', 'a', 'monotone', 'infinite', 'subsequence', 'and', 'give', 'other', 'applications', 'keywords', 'ordered', 'structures', 'monotone', 'subsequence', 'ultrapower', 'saturation', 'compactness']] | [-0.11445578732169591, 0.13417510689452264, -0.1385821795825345, 0.14812002929214102, -0.10551180180090551, -0.13384684534349406, 0.045644648697746634, 0.365035398863256, -0.37307658404684985, -0.21545665769372135, 0.17635256974160887, -0.31305270350108355, -0.15688658061508948, 0.1556990399526862, -0.1273560248530255, 0.07064716447404443, 0.07731389805961114, 0.043499735184013844, -0.034065191472808905, -0.23534916878606266, 0.3085643741517113, -0.06334742779234567, 0.24153359391045973, 0.08312460521343522, 0.133068521739915, 0.00942256107317427, 0.014918547266950974, 0.08003025138392471, -0.12161532953793469, 0.10772245516776681, 0.38489120131215226, 0.20174652742795074, 0.3936344181688932, -0.37791642848158236, -0.1983552198910799, 0.1540047544448708, 0.17909795279578808, 0.08771181106567383, -0.08390532315780337, -0.2689425866298664, 0.11528764697364889, -0.14339180094360088, -0.18374005111400038, -0.1313265596802991, 0.07519348873756826, 0.04650984769866157, -0.24257744601569498, -0.011348902337396374, 0.15633978476174748, 0.058906499368066974, -0.06049593614163594, -0.11326467543124007, 0.038369382167449936, 0.051305446782722496, 0.046514709771145135, 0.06687526686940916, 0.06005568308822918, -0.02252114650148612, -0.18757783596475536, 0.33870278274676263, -0.04705625503825454, -0.22928959099002755, 0.12360265985346185, -0.026360929074983757, -0.22723589178461295, 0.12050167145207524, 0.03757200652482705, 0.16113474665997693, -0.10761386903826721, 0.1736404401633011, -0.10355245089158416, 0.18101382630321985, 0.18898944800289777, 0.028985360100005682, 0.16561861558315846, 0.16664202486236507, 0.17330559104784, 0.17460793986929973, 0.09075364803608793, -0.028599486637036674, -0.2537319316313817, -0.1336039648248026, -0.13149690911926043, 0.10133378931249563, -0.10385079652293755, -0.22681858013563144, 0.27924015892383, 0.10997332404188526, 0.12714622056899735, 0.08293869367872293, 0.18533848122192118, 0.14531267568460093, 0.034095546982895866, 0.04923756755530261, 0.07621218834538013, 0.2132282040368479, 0.09816529049287336, -0.11655055783474101, 0.04719654747392409, 0.21545771980443254] |
1,803.00313 | Dimension-seven operator contribution to the top quark anomalous
interactions | The contribution of dimension-seven operators to anomalous FCNC-interactions
of the t-quarks with a photon and a gluon is considered. The phenomenological
Lagrangian and Feynman rules are derived. There are evaluated the expressions
for the widths FCNC-decays of the t-quark into light quark and two photons, two
gluons, a photon and a gluon, and three quarks.
| hep-ph | the contribution of dimensionseven operators to anomalous fcncinteractions of the tquarks with a photon and a gluon is considered the phenomenological lagrangian and feynman rules are derived there are evaluated the expressions for the widths fcncdecays of the tquark into light quark and two photons two gluons a photon and a gluon and three quarks | [['the', 'contribution', 'of', 'dimensionseven', 'operators', 'to', 'anomalous', 'fcncinteractions', 'of', 'the', 'tquarks', 'with', 'a', 'photon', 'and', 'a', 'gluon', 'is', 'considered', 'the', 'phenomenological', 'lagrangian', 'and', 'feynman', 'rules', 'are', 'derived', 'there', 'are', 'evaluated', 'the', 'expressions', 'for', 'the', 'widths', 'fcncdecays', 'of', 'the', 'tquark', 'into', 'light', 'quark', 'and', 'two', 'photons', 'two', 'gluons', 'a', 'photon', 'and', 'a', 'gluon', 'and', 'three', 'quarks']] | [-0.09488166222911117, 0.31412072121253554, -0.1283991092921428, 0.1745771123381894, -0.04059938376962717, -0.11261638549138915, 0.060262714705939566, 0.3630499503803703, -0.11873731069829103, -0.22397735855489406, -0.015731973011257512, -0.3478976625175971, 0.016120098460957688, 0.1572207710617837, 0.09379252728145078, 0.06750786947613617, 0.05185757691198784, 0.013143026507195999, -0.028541934360170138, -0.2050680232779035, 0.3704246771785448, -0.11188235908817008, 0.19647357898395298, 0.21520650351666054, 0.17785809006331102, 0.009560896145215011, -0.11793129140827453, -0.05602203892930498, -0.029400459033841232, 0.09889731951549931, 0.16521998552302392, 0.040103529713924904, 0.10732354667424313, -0.3584011646585082, -0.1147467183467563, 0.08329922734004147, 0.14415471732862434, 0.09918694468742272, 0.005659789576212752, -0.26356209747774423, 0.04408716235555849, -0.21704035804097382, -0.10923446619988612, -0.056836476180491584, -0.01148071791098084, -0.04685980555126971, -0.35722821147866407, 0.003263835149448154, -0.01653288501613545, -0.02301432296001124, 0.011750235920771956, -0.20774469928780817, -0.09198033143678364, 0.06700113863807242, 0.1296091192305299, 0.04816141095504446, 0.1403843722183187, -0.2568305038829457, -0.1846916856209062, 0.42537239503185703, -0.07182849894435901, -0.23883826271542963, 0.11377466228825725, -0.142289749135808, -0.08731000238748372, 0.1411286444526236, 0.1455109824936064, 0.10786670995524751, -0.2555682809215109, 0.07679428279131897, -0.022334641232243123, 0.10717021059772035, 0.0854666594697057, 0.1210529246490519, 0.2141807716831846, 0.10839563365674244, -0.0974823395668898, 0.12754777840004777, -0.06796816578310616, -0.09897640150672984, -0.4016821958686946, -0.1204599726699152, -0.08478628121808453, 0.02071662053887574, -0.12869820016175992, -0.14700944853709344, 0.43822823633562846, 0.06578401120309278, 0.2110192321646159, 0.02933556185859554, 0.3475861793278523, 0.1973067526782441, 0.09662620841859365, 0.06346536778300157, 0.30025717348984954, 0.21874073209276176, 0.11592625775638055, -0.22862039736190917, -0.06668117035285763, 0.1246475104488573] |
1,803.00314 | Diversity and degrees of freedom in regression ensembles | Ensemble methods are a cornerstone of modern machine learning. The
performance of an ensemble depends crucially upon the level of diversity
between its constituent learners. This paper establishes a connection between
diversity and degrees of freedom (i.e. the capacity of the model), showing that
diversity may be viewed as a form of inverse regularisation. This is achieved
by focusing on a previously published algorithm Negative Correlation Learning
(NCL), in which model diversity is explicitly encouraged through a diversity
penalty term in the loss function. We provide an exact formula for the
effective degrees of freedom in an NCL ensemble with fixed basis functions,
showing that it is a continuous, convex and monotonically increasing function
of the diversity parameter. We demonstrate a connection to Tikhonov
regularisation and show that, with an appropriately chosen diversity parameter,
an NCL ensemble can always outperform the unregularised ensemble in the
presence of noise. We demonstrate the practical utility of our approach by
deriving a method to efficiently tune the diversity parameter. Finally, we use
a Monte-Carlo estimator to extend the connection between diversity and degrees
of freedom to ensembles of deep neural networks.
| cs.LG | ensemble methods are a cornerstone of modern machine learning the performance of an ensemble depends crucially upon the level of diversity between its constituent learners this paper establishes a connection between diversity and degrees of freedom ie the capacity of the model showing that diversity may be viewed as a form of inverse regularisation this is achieved by focusing on a previously published algorithm negative correlation learning ncl in which model diversity is explicitly encouraged through a diversity penalty term in the loss function we provide an exact formula for the effective degrees of freedom in an ncl ensemble with fixed basis functions showing that it is a continuous convex and monotonically increasing function of the diversity parameter we demonstrate a connection to tikhonov regularisation and show that with an appropriately chosen diversity parameter an ncl ensemble can always outperform the unregularised ensemble in the presence of noise we demonstrate the practical utility of our approach by deriving a method to efficiently tune the diversity parameter finally we use a montecarlo estimator to extend the connection between diversity and degrees of freedom to ensembles of deep neural networks | [['ensemble', 'methods', 'are', 'a', 'cornerstone', 'of', 'modern', 'machine', 'learning', 'the', 'performance', 'of', 'an', 'ensemble', 'depends', 'crucially', 'upon', 'the', 'level', 'of', 'diversity', 'between', 'its', 'constituent', 'learners', 'this', 'paper', 'establishes', 'a', 'connection', 'between', 'diversity', 'and', 'degrees', 'of', 'freedom', 'ie', 'the', 'capacity', 'of', 'the', 'model', 'showing', 'that', 'diversity', 'may', 'be', 'viewed', 'as', 'a', 'form', 'of', 'inverse', 'regularisation', 'this', 'is', 'achieved', 'by', 'focusing', 'on', 'a', 'previously', 'published', 'algorithm', 'negative', 'correlation', 'learning', 'ncl', 'in', 'which', 'model', 'diversity', 'is', 'explicitly', 'encouraged', 'through', 'a', 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1,803.00315 | Boosting the Performance of Content Centric Networking using Delay
Tolerant Networking Mechanisms | Content-centric networking (CCN) introduces a paradigm shift from a host
centric to an information centric communication model for future Internet
architectures. It supports the retrieval of a particular content regardless of
the physical location of the content. Content caching and content delivery
networks are the most popular approaches to deal with the inherent issues of
content delivery on the Internet that are caused by its design. Moreover,
intermittently connected mobile environments or disruptive networks present a
significant challenge to CCN deployment. In this paper, we consider the
possibility of using mobile users in improving the efficiency of content
delivery. Mobile users are producing a significant fraction of the total
Internet traffic, and modern mobile devices have enough storage to cache the
downloaded content that may interest other mobile users for a short period too.
We present an analytical model of the CCN framework that integrates a delay
tolerant networking architecture into the native CCN, and we present
large-scale simulation results. Caching on mobile devices can improve the
content retrieval time by more than 50%, while the fraction of the requests
that are delivered from other mobile devices can be more than 75% in many
cases.
| cs.NI | contentcentric networking ccn introduces a paradigm shift from a host centric to an information centric communication model for future internet architectures it supports the retrieval of a particular content regardless of the physical location of the content content caching and content delivery networks are the most popular approaches to deal with the inherent issues of content delivery on the internet that are caused by its design moreover intermittently connected mobile environments or disruptive networks present a significant challenge to ccn deployment in this paper we consider the possibility of using mobile users in improving the efficiency of content delivery mobile users are producing a significant fraction of the total internet traffic and modern mobile devices have enough storage to cache the downloaded content that may interest other mobile users for a short period too we present an analytical model of the ccn framework that integrates a delay tolerant networking architecture into the native ccn and we present largescale simulation results caching on mobile devices can improve the content retrieval time by more than 50 while the fraction of the requests that are delivered from other mobile devices can be more than 75 in many cases | [['contentcentric', 'networking', 'ccn', 'introduces', 'a', 'paradigm', 'shift', 'from', 'a', 'host', 'centric', 'to', 'an', 'information', 'centric', 'communication', 'model', 'for', 'future', 'internet', 'architectures', 'it', 'supports', 'the', 'retrieval', 'of', 'a', 'particular', 'content', 'regardless', 'of', 'the', 'physical', 'location', 'of', 'the', 'content', 'content', 'caching', 'and', 'content', 'delivery', 'networks', 'are', 'the', 'most', 'popular', 'approaches', 'to', 'deal', 'with', 'the', 'inherent', 'issues', 'of', 'content', 'delivery', 'on', 'the', 'internet', 'that', 'are', 'caused', 'by', 'its', 'design', 'moreover', 'intermittently', 'connected', 'mobile', 'environments', 'or', 'disruptive', 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1,803.00316 | The K-Nearest Neighbour UCB algorithm for multi-armed bandits with
covariates | In this paper we propose and explore the k-Nearest Neighbour UCB algorithm
for multi-armed bandits with covariates. We focus on a setting where the
covariates are supported on a metric space of low intrinsic dimension, such as
a manifold embedded within a high dimensional ambient feature space. The
algorithm is conceptually simple and straightforward to implement. The
k-Nearest Neighbour UCB algorithm does not require prior knowledge of the
either the intrinsic dimension of the marginal distribution or the time
horizon. We prove a regret bound for the k-Nearest Neighbour UCB algorithm
which is minimax optimal up to logarithmic factors. In particular, the
algorithm automatically takes advantage of both low intrinsic dimensionality of
the marginal distribution over the covariates and low noise in the data,
expressed as a margin condition. In addition, focusing on the case of bounded
rewards, we give corresponding regret bounds for the k-Nearest Neighbour KL-UCB
algorithm, which is an analogue of the KL-UCB algorithm adapted to the setting
of multi-armed bandits with covariates. Finally, we present empirical results
which demonstrate the ability of both the k-Nearest Neighbour UCB and k-Nearest
Neighbour KL-UCB to take advantage of situations where the data is supported on
an unknown sub-manifold of a high-dimensional feature space.
| cs.LG stat.ML | in this paper we propose and explore the knearest neighbour ucb algorithm for multiarmed bandits with covariates we focus on a setting where the covariates are supported on a metric space of low intrinsic dimension such as a manifold embedded within a high dimensional ambient feature space the algorithm is conceptually simple and straightforward to implement the knearest neighbour ucb algorithm does not require prior knowledge of the either the intrinsic dimension of the marginal distribution or the time horizon we prove a regret bound for the knearest neighbour ucb algorithm which is minimax optimal up to logarithmic factors in particular the algorithm automatically takes advantage of both low intrinsic dimensionality of the marginal distribution over the covariates and low noise in the data expressed as a margin condition in addition focusing on the case of bounded rewards we give corresponding regret bounds for the knearest neighbour klucb algorithm which is an analogue of the klucb algorithm adapted to the setting of multiarmed bandits with covariates finally we present empirical results which demonstrate the ability of both the knearest neighbour ucb and knearest neighbour klucb to take advantage of situations where the data is supported on an unknown submanifold of a highdimensional feature space | [['in', 'this', 'paper', 'we', 'propose', 'and', 'explore', 'the', 'knearest', 'neighbour', 'ucb', 'algorithm', 'for', 'multiarmed', 'bandits', 'with', 'covariates', 'we', 'focus', 'on', 'a', 'setting', 'where', 'the', 'covariates', 'are', 'supported', 'on', 'a', 'metric', 'space', 'of', 'low', 'intrinsic', 'dimension', 'such', 'as', 'a', 'manifold', 'embedded', 'within', 'a', 'high', 'dimensional', 'ambient', 'feature', 'space', 'the', 'algorithm', 'is', 'conceptually', 'simple', 'and', 'straightforward', 'to', 'implement', 'the', 'knearest', 'neighbour', 'ucb', 'algorithm', 'does', 'not', 'require', 'prior', 'knowledge', 'of', 'the', 'either', 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1,803.00317 | Hybrid Beamforming Design and Performance with Imperfect Phase Shifters
in Multiuser Millimeter Wave Systems | Hybrid beamforming (HBF) includes analog beamforming with phase shifted array
in RF domain and digital beamforming in baseband domain. Phase shifted array is
usually made up with a large amount of phase shifters. Limited to the
manufacturing techniques, phase shifters are unavoidable to have phaseshifting
error and gain error. In the paper we study the influence of imperfect phase
shifters upon the performance of multiuser mmWave massive MIMO systems1 with
the wireless channel modeled by Rice fading. We derive the upper bound of the
achievable sum rate with imperfect phase shifters, which can be very tight when
the number of the antennas at the base station is much larger than the number
of users. Results show that there is a performance ceiling due to
phase-shifting error and gain error. Then we propose a novel channel estimation
and hybrid beamforming method to settle this problem with low training
overhead. It performs well when the channel paths are few and the channel
Rician K-factor is large, which can be easily satisfied in outdoor mmWave
communication environment. We further make a tradeoff between the performance
and the training overhead so that the algorithm can work well in more kinds of
propagation environment.
| cs.IT math.IT | hybrid beamforming hbf includes analog beamforming with phase shifted array in rf domain and digital beamforming in baseband domain phase shifted array is usually made up with a large amount of phase shifters limited to the manufacturing techniques phase shifters are unavoidable to have phaseshifting error and gain error in the paper we study the influence of imperfect phase shifters upon the performance of multiuser mmwave massive mimo systems1 with the wireless channel modeled by rice fading we derive the upper bound of the achievable sum rate with imperfect phase shifters which can be very tight when the number of the antennas at the base station is much larger than the number of users results show that there is a performance ceiling due to phaseshifting error and gain error then we propose a novel channel estimation and hybrid beamforming method to settle this problem with low training overhead it performs well when the channel paths are few and the channel rician kfactor is large which can be easily satisfied in outdoor mmwave communication environment we further make a tradeoff between the performance and the training overhead so that the algorithm can work well in more kinds of propagation environment | [['hybrid', 'beamforming', 'hbf', 'includes', 'analog', 'beamforming', 'with', 'phase', 'shifted', 'array', 'in', 'rf', 'domain', 'and', 'digital', 'beamforming', 'in', 'baseband', 'domain', 'phase', 'shifted', 'array', 'is', 'usually', 'made', 'up', 'with', 'a', 'large', 'amount', 'of', 'phase', 'shifters', 'limited', 'to', 'the', 'manufacturing', 'techniques', 'phase', 'shifters', 'are', 'unavoidable', 'to', 'have', 'phaseshifting', 'error', 'and', 'gain', 'error', 'in', 'the', 'paper', 'we', 'study', 'the', 'influence', 'of', 'imperfect', 'phase', 'shifters', 'upon', 'the', 'performance', 'of', 'multiuser', 'mmwave', 'massive', 'mimo', 'systems1', 'with', 'the', 'wireless', 'channel', 'modeled', 'by', 'rice', 'fading', 'we', 'derive', 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1,803.00318 | A Lagrangian probability-density-function model for collisional
turbulent fluid-particle flows. II. Application to homogeneous flows | The Lagrangian probability-density-function model, proposed in Part I for
dense particle-laden turbulent flows, is validated here against
Eulerian-Lagrangian direct numerical simulation (EL) data for different
homogeneous flows, namely statistically steady and decaying homogeneous
isotropic turbulence, homogeneous-shear flow and cluster-induced turbulence
(CIT). We consider the general model developed in Part I adapted to the
homogeneous case together with a simplified version in which the decomposition
of the phase-averaged (PA) particle-phase fluctuating energy into the spatially
correlated and uncorrelated components is not used, and only total exchange of
kinetic energy between phases is allowed. The simplified model employs the
standard two-way coupling approach. The comparison between EL simulations and
the two stochastic models in homogeneous and isotropic turbulence and in
homogeneous-shear flow shows that in all cases both models are capable to
reproduce rather well the flow behaviour, notably for dilute flows. The
analysis of the CIT gives more insights on the physical nature of such systems
and about the quality of the models. Results elucidate the fact that simple
two-way coupling is sufficient to induce turbulence, even though the granular
energy is not considered. Furthermore, first-order moments including velocity
of the fluid seen by particles can be fairly well represented with such a
simplified stochastic model. However, the decomposition into spatially
correlated and uncorrelated components is found to be necessary to account for
anisotropic energy exchanges. When these factors are properly accounted for as
in the complete model, the agreement with the EL statistics is satisfactory up
to second order.
| physics.flu-dyn | the lagrangian probabilitydensityfunction model proposed in part i for dense particleladen turbulent flows is validated here against eulerianlagrangian direct numerical simulation el data for different homogeneous flows namely statistically steady and decaying homogeneous isotropic turbulence homogeneousshear flow and clusterinduced turbulence cit we consider the general model developed in part i adapted to the homogeneous case together with a simplified version in which the decomposition of the phaseaveraged pa particlephase fluctuating energy into the spatially correlated and uncorrelated components is not used and only total exchange of kinetic energy between phases is allowed the simplified model employs the standard twoway coupling approach the comparison between el simulations and the two stochastic models in homogeneous and isotropic turbulence and in homogeneousshear flow shows that in all cases both models are capable to reproduce rather well the flow behaviour notably for dilute flows the analysis of the cit gives more insights on the physical nature of such systems and about the quality of the models results elucidate the fact that simple twoway coupling is sufficient to induce turbulence even though the granular energy is not considered furthermore firstorder moments including velocity of the fluid seen by particles can be fairly well represented with such a simplified stochastic model however the decomposition into spatially correlated and uncorrelated components is found to be necessary to account for anisotropic energy exchanges when these factors are properly accounted for as in the complete model the agreement with the el statistics is satisfactory up to second order | [['the', 'lagrangian', 'probabilitydensityfunction', 'model', 'proposed', 'in', 'part', 'i', 'for', 'dense', 'particleladen', 'turbulent', 'flows', 'is', 'validated', 'here', 'against', 'eulerianlagrangian', 'direct', 'numerical', 'simulation', 'el', 'data', 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1,803.00319 | Elevation or Suppression? The Resolved Star Formation Main Sequence of
Galaxies with Two Different Assembly Modes | We investigate the spatially-resolved star formation main sequence in
star-forming galaxies (SFGs) using Integral Field Spectroscopic (IFS)
observations from the Mapping Nearby Galaxies at the Apache Point Observatory
(MaNGA) survey. We demonstrate that the correlation between the stellar mass
surface density ($\Sigma_*$) and star formation rate surface density
($\Sigma_{\mathrm{SFR}}$) holds down to sub-galactic scale, leading to the
Sub-Galactic Main Sequence (SGMS). By dividing galaxies into two populations
based on their recent mass assembly modes, we find the resolved main sequence
in galaxies with 'outside-in' mode is steeper than that in galaxies with
'inside-out' mode. This is also confirmed on a galaxy-by-galaxy level, where we
find the distributions of SGMS slopes for individual galaxies are clearly
separated for the two populations. When normalizing and stacking the SGMS of
individual galaxies on one panel for the two populations, we find the inner
regions of galaxies with 'inside-out' mode statistically exhibit a suppression
in star formation, with a less significant trend in the outer regions of
galaxies with 'outside-in' mode. In contrast, the inner regions of galaxies
with 'outside-in' mode and the outer regions of galaxies with 'inside-out' mode
follow a slightly sub-linear scaling relation with a slope $\sim$0.9, which is
in good agreement with previous findings, suggesting that they are experiencing
a universal regulation without influences of additional physical processes.
| astro-ph.GA | we investigate the spatiallyresolved star formation main sequence in starforming galaxies sfgs using integral field spectroscopic ifs observations from the mapping nearby galaxies at the apache point observatory manga survey we demonstrate that the correlation between the stellar mass surface density sigma_ and star formation rate surface density sigma_mathrmsfr holds down to subgalactic scale leading to the subgalactic main sequence sgms by dividing galaxies into two populations based on their recent mass assembly modes we find the resolved main sequence in galaxies with outsidein mode is steeper than that in galaxies with insideout mode this is also confirmed on a galaxybygalaxy level where we find the distributions of sgms slopes for individual galaxies are clearly separated for the two populations when normalizing and stacking the sgms of individual galaxies on one panel for the two populations we find the inner regions of galaxies with insideout mode statistically exhibit a suppression in star formation with a less significant trend in the outer regions of galaxies with outsidein mode in contrast the inner regions of galaxies with outsidein mode and the outer regions of galaxies with insideout mode follow a slightly sublinear scaling relation with a slope sim09 which is in good agreement with previous findings suggesting that they are experiencing a universal regulation without influences of additional physical processes | [['we', 'investigate', 'the', 'spatiallyresolved', 'star', 'formation', 'main', 'sequence', 'in', 'starforming', 'galaxies', 'sfgs', 'using', 'integral', 'field', 'spectroscopic', 'ifs', 'observations', 'from', 'the', 'mapping', 'nearby', 'galaxies', 'at', 'the', 'apache', 'point', 'observatory', 'manga', 'survey', 'we', 'demonstrate', 'that', 'the', 'correlation', 'between', 'the', 'stellar', 'mass', 'surface', 'density', 'sigma_', 'and', 'star', 'formation', 'rate', 'surface', 'density', 'sigma_mathrmsfr', 'holds', 'down', 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1,803.0032 | Lagrangian Skeleta of Hypersurfaces in $(\mathbb{C}^*)^n$ | Let $W(z_1, \cdots, z_n): (\mathbb{C}^*)^n \to \mathbb{C}$ be a Laurent
polynomial in $n$ variables, and let $\mathcal{H}$ be a generic smooth fiber of
$W$. In \cite{RSTZ} Ruddat-Sibilla-Treumann-Zaslow give a combinatorial recipe
for a skeleton for $\mathcal{H}$. In this paper, we show that for a suitable
exact symplectic structure on $\mathcal{H}$, the RSTZ-skeleton can be realized
as the Liouville Lagrangian skeleton.
| math.SG | let wz_1 cdots z_n mathbbcn to mathbbc be a laurent polynomial in n variables and let mathcalh be a generic smooth fiber of w in citerstz ruddatsibillatreumannzaslow give a combinatorial recipe for a skeleton for mathcalh in this paper we show that for a suitable exact symplectic structure on mathcalh the rstzskeleton can be realized as the liouville lagrangian skeleton | [['let', 'wz_1', 'cdots', 'z_n', 'mathbbcn', 'to', 'mathbbc', 'be', 'a', 'laurent', 'polynomial', 'in', 'n', 'variables', 'and', 'let', 'mathcalh', 'be', 'a', 'generic', 'smooth', 'fiber', 'of', 'w', 'in', 'citerstz', 'ruddatsibillatreumannzaslow', 'give', 'a', 'combinatorial', 'recipe', 'for', 'a', 'skeleton', 'for', 'mathcalh', 'in', 'this', 'paper', 'we', 'show', 'that', 'for', 'a', 'suitable', 'exact', 'symplectic', 'structure', 'on', 'mathcalh', 'the', 'rstzskeleton', 'can', 'be', 'realized', 'as', 'the', 'liouville', 'lagrangian', 'skeleton']] | [-0.19526158215625114, 0.11204256916320637, -0.10169985003181194, -0.005073372480917003, -0.08586498707728951, -0.16583936302024022, -0.07761941195196032, 0.3389782469817682, -0.34999844020134524, -0.11789671222989757, 0.07424241789869898, -0.1727439774886558, -0.16722078787228256, 0.19681985156708642, -0.1537189811892938, -0.008573364825886592, 0.09046792779771383, 0.11756003715849497, -0.10800935246911729, -0.2695915559756063, 0.32578498843991965, -0.11891768208557837, 0.13642878196479982, 0.0036601096130253977, 0.14048275130947954, -0.003783323434426596, 0.08216021458307902, -0.013975495611431828, -0.18874621027409152, 0.08350008760431879, 0.3421541735399188, 0.1156674202842017, 0.2304358868328691, -0.40310253529695045, -0.13893569246947504, 0.2624445777353749, 0.2517552463615542, -0.043300315443622436, 0.02331294595026983, -0.2938359957188368, 0.11596476374063314, -0.12848462768536256, -0.18035979691500725, -0.10928892916101113, 0.0846159242485699, -0.008053535571027743, -0.37730722990103494, -0.03108824459476429, 0.08937115071411857, 0.07491334784253124, 0.02156758729956652, -0.0900202175079469, -0.058861168199463895, 0.002101387232215258, -0.13851367538435416, 0.18577547728802943, 0.053493264719451726, -0.03897830033102971, -0.08989530403101653, 0.39884547998703884, -0.11711670288187043, -0.3133021312267438, 0.010468970475669363, -0.13581908697654543, -0.19281809344038106, 0.07774621230272348, 0.14920508634429752, 0.18967733107376517, -0.06286367198979285, 0.26000072458950935, -0.15204120393058188, 0.04278019274045762, 0.10279937936483245, 0.008588545735141164, 0.16421468978366824, 0.09192093449089218, 0.08367261422896072, 0.1395902646676915, 0.055877174165001826, 0.015504144050442335, -0.39355891256740216, -0.20214167692118504, -0.1911201606782382, 0.2292731092229747, -0.17894672008467177, -0.1889350723001387, 0.3906792044770299, 0.032212537296704556, 0.27260158093352066, 0.13005451810252117, 0.20236156920069143, 0.09206459337739241, 0.015478074093136871, 0.03828094272237075, 0.027620664291214524, 0.1455616207564609, -0.035564222740695664, -0.12196614578970823, -0.008301798621878811, 0.23087438918127304] |
1,803.00321 | Bisections of centrally symmetric planar convex bodies minimizing the
maximum relative diameter | In this paper we study the bisections of a centrally symmetric planar convex
body which minimize the maximum relative diameter functional. We give necessary
and sufficient conditions for being a minimizing bisection, as well as
analyzing the behavior of the so-called standard bisection.
| math.MG | in this paper we study the bisections of a centrally symmetric planar convex body which minimize the maximum relative diameter functional we give necessary and sufficient conditions for being a minimizing bisection as well as analyzing the behavior of the socalled standard bisection | [['in', 'this', 'paper', 'we', 'study', 'the', 'bisections', 'of', 'a', 'centrally', 'symmetric', 'planar', 'convex', 'body', 'which', 'minimize', 'the', 'maximum', 'relative', 'diameter', 'functional', 'we', 'give', 'necessary', 'and', 'sufficient', 'conditions', 'for', 'being', 'a', 'minimizing', 'bisection', 'as', 'well', 'as', 'analyzing', 'the', 'behavior', 'of', 'the', 'socalled', 'standard', 'bisection']] | [-0.11747807372621326, 0.04223407068571379, -0.05102747232588225, 0.09224260920864465, -0.08704433492168265, -0.089373663241087, 0.03655575616231058, 0.3533762406644433, -0.2764370560126249, -0.28555229730730836, 0.18135382764333816, -0.22711740529467894, -0.18792859685802182, 0.11448313902283824, -0.148438444274456, 0.08073011153312616, 0.05268939302930998, 0.06128702340864165, -0.08465566951781511, -0.20587930139587368, 0.29225895224615583, 0.02434381937911344, 0.23320443588742162, 0.10537724533703091, 0.077564611771079, 0.07356987297968116, 0.034069191592712995, 0.11058802301670577, -0.2049840615390865, 0.1485007547686786, 0.21121082151698511, 0.16434295562117598, 0.2500213963347812, -0.4163093778283097, -0.14866639910872245, 0.1822703092380665, 0.08860371768918582, 0.05543081482688268, -0.03902718437792257, -0.1875664731271045, 0.15125758748848078, -0.1298677423145882, -0.15964440247693726, 0.011619336794801923, 0.01450349043968112, 0.06390096700945219, -0.27786053431242014, 0.04735984352179045, 0.08336156942197365, 0.07846502877425315, -0.06012004644198473, -0.11128206278175809, 0.007850128404666172, 0.10550748405241689, -0.010932542383670807, 0.013254969007183993, 0.09070973240142298, -0.0902281271802738, -0.09061947445450134, 0.40719657859136893, -0.027122686947371032, -0.20802599421247495, 0.13052019704306542, -0.1110967447937921, -0.10462909832943318, 0.08637296339107114, 0.21510635805857736, 0.2116986273213961, -0.19614172235217897, 0.08738035262361991, -0.09895540440325128, 0.08340931378391593, 0.10238314484960812, 0.00015327654952226684, 0.14144718659998373, 0.1789602014712643, 0.22866236970781587, 0.2563424076625081, -0.057532041820935735, -0.1003293776234915, -0.37422502248786216, -0.17290969121508126, -0.19929368369454561, 0.03168246065547993, -0.11654778896948745, -0.20651240690156472, 0.42544789733581767, 0.010781071733596713, 0.21343300534888757, 0.13422416191890588, 0.2940129790195199, 0.13140009647792986, 0.06361187035001295, 0.1076205306101677, 0.22033694529429423, 0.16948749653475229, 0.006810531973145729, -0.23154882462911827, 0.04892114504392064, 0.08025937851215172] |
1,803.00322 | Spatial Lobes Division Based Low Complexity Hybrid Precoding and
Diversity Combining for mmWave IoT Systems | This paper focuses on the design of low complexity hybrid analog/digital
precoding and diversity combining in millimeter wave (mmWave) Internet of
things (IoT) systems. Firstly, by exploiting the sparseness property of the
mmWave in the angular domain, we propose a spatial lobes division (SLD) to
group the total paths of the mmWave channel into several spatial lobes, where
the paths in each spatial lobe form a low-rank sub-channel. Secondly, based on
the SLD operation, we propose a low complexity hybrid precoding scheme, named
HYP-SLD. Specifically, for each low-rank sub-channel, we formulate the hybrid
precoding design as a sparse reconstruction problem and separately maximizes
the spectral efficiency. Finally, we further propose a maximum ratio combining
based diversity combining scheme, named HYP-SLD-MRC, to improve the bit error
rate (BER) performance of mmWave IoT systems. Simulation results demonstrate
that, the proposed HYP-SLD scheme significantly reduces the complexity of the
classic orthogonal matching pursuit (OMP) scheme. Moreover, the proposed
HYP-SLD-MRC scheme achieves great improvement in BER performance compared with
the fully digital precoding scheme.
| cs.IT math.IT | this paper focuses on the design of low complexity hybrid analogdigital precoding and diversity combining in millimeter wave mmwave internet of things iot systems firstly by exploiting the sparseness property of the mmwave in the angular domain we propose a spatial lobes division sld to group the total paths of the mmwave channel into several spatial lobes where the paths in each spatial lobe form a lowrank subchannel secondly based on the sld operation we propose a low complexity hybrid precoding scheme named hypsld specifically for each lowrank subchannel we formulate the hybrid precoding design as a sparse reconstruction problem and separately maximizes the spectral efficiency finally we further propose a maximum ratio combining based diversity combining scheme named hypsldmrc to improve the bit error rate ber performance of mmwave iot systems simulation results demonstrate that the proposed hypsld scheme significantly reduces the complexity of the classic orthogonal matching pursuit omp scheme moreover the proposed hypsldmrc scheme achieves great improvement in ber performance compared with the fully digital precoding scheme | [['this', 'paper', 'focuses', 'on', 'the', 'design', 'of', 'low', 'complexity', 'hybrid', 'analogdigital', 'precoding', 'and', 'diversity', 'combining', 'in', 'millimeter', 'wave', 'mmwave', 'internet', 'of', 'things', 'iot', 'systems', 'firstly', 'by', 'exploiting', 'the', 'sparseness', 'property', 'of', 'the', 'mmwave', 'in', 'the', 'angular', 'domain', 'we', 'propose', 'a', 'spatial', 'lobes', 'division', 'sld', 'to', 'group', 'the', 'total', 'paths', 'of', 'the', 'mmwave', 'channel', 'into', 'several', 'spatial', 'lobes', 'where', 'the', 'paths', 'in', 'each', 'spatial', 'lobe', 'form', 'a', 'lowrank', 'subchannel', 'secondly', 'based', 'on', 'the', 'sld', 'operation', 'we', 'propose', 'a', 'low', 'complexity', 'hybrid', 'precoding', 'scheme', 'named', 'hypsld', 'specifically', 'for', 'each', 'lowrank', 'subchannel', 'we', 'formulate', 'the', 'hybrid', 'precoding', 'design', 'as', 'a', 'sparse', 'reconstruction', 'problem', 'and', 'separately', 'maximizes', 'the', 'spectral', 'efficiency', 'finally', 'we', 'further', 'propose', 'a', 'maximum', 'ratio', 'combining', 'based', 'diversity', 'combining', 'scheme', 'named', 'hypsldmrc', 'to', 'improve', 'the', 'bit', 'error', 'rate', 'ber', 'performance', 'of', 'mmwave', 'iot', 'systems', 'simulation', 'results', 'demonstrate', 'that', 'the', 'proposed', 'hypsld', 'scheme', 'significantly', 'reduces', 'the', 'complexity', 'of', 'the', 'classic', 'orthogonal', 'matching', 'pursuit', 'omp', 'scheme', 'moreover', 'the', 'proposed', 'hypsldmrc', 'scheme', 'achieves', 'great', 'improvement', 'in', 'ber', 'performance', 'compared', 'with', 'the', 'fully', 'digital', 'precoding', 'scheme']] | [-0.23955782241446066, -0.052377369223970426, -0.04032062004174454, -0.014114501784557016, -0.0965094748654414, -0.17629392423347223, 0.10176867819797944, 0.4135106930127704, -0.2727396824251277, -0.23882183248558678, 0.08065815456421956, -0.1873820224238268, -0.23032836368341134, 0.12531037499892514, -0.1266784796011578, 0.09571140735790257, 0.06814053784410683, -0.043896015517480944, -0.1196358734952196, -0.2612072592909751, 0.2844974592298091, 0.13235629993387082, 0.44424376305731306, -0.019299277225761753, 0.1509242390888373, 0.0067106399633248435, -0.036511518019083214, -0.05177245105627969, -0.08684789576780377, 0.13600593601305777, 0.30956031120640326, 0.22708517583774357, 0.31003007207820416, -0.3831283919322473, -0.24422073239426925, 0.056905650554073366, 0.21727905358140165, 0.05507727957846799, -0.08020211037189465, -0.2652616379950869, 0.15948085255671227, -0.2438561694124287, 0.00809031545678266, 0.02425174118042082, -0.13500873886991338, 0.042930049464072896, -0.3349285180938531, 0.046469880360548936, -0.004544385779721428, -0.01612691148689174, -0.027559305306282793, -0.18193981242338084, 0.06509585242090096, 0.0905978519340461, -0.030452077647289598, -0.004849218048087983, 0.04870956012255411, -0.07135352890809482, -0.1464962144115805, 0.3786344202431704, -0.024043390405692543, -0.24764006732996688, 0.12949707867410765, -0.08686174927784288, -0.10965875193128834, 0.17771377288547052, 0.2542295883359186, 0.045724285084120256, -0.13995469907152813, 0.02601149045625219, -0.006088986964696451, 0.20761383508320852, 0.08142143227328288, 0.18200690282721926, 0.1169186564644866, 0.25720173779437433, 0.13793750020608037, 0.14926465679063877, -0.17388215422748127, -0.05918678577922015, -0.16587073077077427, -0.13204182234469308, -0.23257154561172474, -0.0561826717490169, -0.14331463551838147, -0.06181663523865751, 0.39863639120725214, 0.1792636883546071, 0.1279641348414168, 0.13448660409061172, 0.45753152587686674, 0.10988949786195622, 0.04639375363672937, 0.14016798110566583, 0.18536419173034963, 0.11866510003462928, 0.13050364300693493, -0.2739216739954202, 0.007008133552889957, 0.07334468387283317] |
1,803.00323 | An integral type Brezis-Nirenberg problem on the Heisenberg group | This paper is devoted to study a class of integral type Brezis-Nirenbreg
problem on the Heisenberg group. It is a class of new nonlinear integral
equations on the bounded domains of Heisenberg group and related to the CR
Yamabe problems on the CR manifold. Based on the sharp Hardy-Littlewood-Sobolev
inequalities, the nonexistence and existence results are obtained by Pohozaev
type identity, variational method and blow-up analysis, respectively.
| math.AP | this paper is devoted to study a class of integral type brezisnirenbreg problem on the heisenberg group it is a class of new nonlinear integral equations on the bounded domains of heisenberg group and related to the cr yamabe problems on the cr manifold based on the sharp hardylittlewoodsobolev inequalities the nonexistence and existence results are obtained by pohozaev type identity variational method and blowup analysis respectively | [['this', 'paper', 'is', 'devoted', 'to', 'study', 'a', 'class', 'of', 'integral', 'type', 'brezisnirenbreg', 'problem', 'on', 'the', 'heisenberg', 'group', 'it', 'is', 'a', 'class', 'of', 'new', 'nonlinear', 'integral', 'equations', 'on', 'the', 'bounded', 'domains', 'of', 'heisenberg', 'group', 'and', 'related', 'to', 'the', 'cr', 'yamabe', 'problems', 'on', 'the', 'cr', 'manifold', 'based', 'on', 'the', 'sharp', 'hardylittlewoodsobolev', 'inequalities', 'the', 'nonexistence', 'and', 'existence', 'results', 'are', 'obtained', 'by', 'pohozaev', 'type', 'identity', 'variational', 'method', 'and', 'blowup', 'analysis', 'respectively']] | [-0.1489752394916264, -0.03256832007459844, -0.0376178930993333, 0.08881894579319509, -0.17305527957664293, -0.13860905095652648, -0.008447365734768524, 0.30036322526972403, -0.3046320297783523, -0.2263964634727348, 0.18704979149906925, -0.3057513879894307, -0.1527028027639696, 0.26706468083527096, -0.07453457847463363, 0.038388996356816, 0.06257473900349754, 0.0729649222427697, -0.12833793471905997, -0.24702587255248518, 0.4610496959790136, -0.0794903406958011, 0.261057973042074, 0.07945072338351923, 0.08300471174615351, -0.02021158857017078, 0.005644098996664538, 0.013880584628857447, -0.21161333862057125, 0.2093377199048656, 0.18794260986826636, 0.03917204031269207, 0.2691216633768018, -0.3673414226734277, -0.22368296081990455, 0.12914505183245195, 0.10457687211843829, 0.03017433210642952, -0.05185241590141121, -0.38399225575002754, 0.08813380579125475, -0.0688007698450802, -0.18209762908659424, -0.06197938619350845, -0.046334242673985886, 0.042348728314126755, -0.22251325560677232, 0.13540802603220622, 0.12823625584838516, 0.06508885600046735, -0.15462411225378286, -0.07773796186401424, 0.05985785776459979, 0.04453591861282334, 0.0597270590740002, 0.033844951788937164, 0.032704349141567945, -0.04424304624835989, -0.12737606251330086, 0.33497074706423463, -0.06426259451263557, -0.24923721633174203, 0.14682679104435287, -0.0954586872830987, -0.20073072394271466, 0.09229271081417348, 0.18629452311010522, 0.19574435614049435, -0.1470396815178295, 0.1623492217384575, -0.08367392904245097, 0.10683602283736973, 0.015633424835731134, -0.028823342442399626, 0.02327233152181813, 0.12360101547374418, 0.20190659036972758, 0.11684973923503562, -0.01729352858312654, -0.08589128083126112, -0.3618106252767823, -0.20000019988263817, -0.21562231725759126, 0.14453076118441072, -0.09809620949994441, -0.16411552005306337, 0.3885490914637392, 0.02746818475001915, 0.10676556238622377, 0.08995854157502904, 0.15917218764044458, 0.12370959787883541, -0.0016487871286120605, 0.0671807663289435, 0.16464018223478255, 0.23640509866615475, 0.13265397238799118, -0.23548782960102527, 0.00025063916109502316, 0.27292282621188363] |
1,803.00324 | Primitive weird numbers having more than three distinct prime factors | In this paper we study some structure properties of primitive weird numbers
in terms of their factorization. We give sufficient conditions to ensure that a
positive integer is weird. Two algorithms for generating weird numbers having a
given number of distinct prime factors are presented. These algorithms yield
primitive weird numbers of the form $mp_1\dots p_k$ for a suitable deficient
positive integer $m$ and primes $p_1,\dots,p_k$ and generalize a recent
technique developed for generating primitive weird numbers of the form
$2^np_1p_2$. The same techniques can be used to search for odd weird numbers,
whose existence is still an open question.
| math.NT | in this paper we study some structure properties of primitive weird numbers in terms of their factorization we give sufficient conditions to ensure that a positive integer is weird two algorithms for generating weird numbers having a given number of distinct prime factors are presented these algorithms yield primitive weird numbers of the form mp_1dots p_k for a suitable deficient positive integer m and primes p_1dotsp_k and generalize a recent technique developed for generating primitive weird numbers of the form 2np_1p_2 the same techniques can be used to search for odd weird numbers whose existence is still an open question | [['in', 'this', 'paper', 'we', 'study', 'some', 'structure', 'properties', 'of', 'primitive', 'weird', 'numbers', 'in', 'terms', 'of', 'their', 'factorization', 'we', 'give', 'sufficient', 'conditions', 'to', 'ensure', 'that', 'a', 'positive', 'integer', 'is', 'weird', 'two', 'algorithms', 'for', 'generating', 'weird', 'numbers', 'having', 'a', 'given', 'number', 'of', 'distinct', 'prime', 'factors', 'are', 'presented', 'these', 'algorithms', 'yield', 'primitive', 'weird', 'numbers', 'of', 'the', 'form', 'mp_1dots', 'p_k', 'for', 'a', 'suitable', 'deficient', 'positive', 'integer', 'm', 'and', 'primes', 'p_1dotsp_k', 'and', 'generalize', 'a', 'recent', 'technique', 'developed', 'for', 'generating', 'primitive', 'weird', 'numbers', 'of', 'the', 'form', '2np_1p_2', 'the', 'same', 'techniques', 'can', 'be', 'used', 'to', 'search', 'for', 'odd', 'weird', 'numbers', 'whose', 'existence', 'is', 'still', 'an', 'open', 'question']] | [-0.2334511114702541, 0.17390007289184128, -0.09317993518079118, 0.12257113469864375, -0.08277816223978464, -0.14859477881988398, 0.010822104867452718, 0.29807624220848083, -0.2683885010453511, -0.2974806900839416, 0.10321223450472997, -0.21847330421513442, -0.17948297489130374, 0.20983098214017037, -0.061153413993971686, 0.06527039008832784, 0.04108080697454968, 0.08099171954055069, -0.024589686200725942, -0.30321312847556736, 0.3232451375877979, -0.044287601215004614, 0.15597176533762594, 0.01465925953246425, 0.06885450983382001, -0.04815088927612773, 0.007136411551500158, 0.036155472390771826, -0.13842638665894866, 0.14830759022567822, 0.27799647367958513, 0.1852583801753971, 0.27035238284365826, -0.4215938505545563, -0.084228067264455, 0.19296122368957316, 0.12959413473465842, 0.04530040653688567, -0.11473879031836987, -0.15220124656524586, 0.19204590476251074, -0.12765100891036646, -0.1828142919539645, -0.13800198860390453, 0.07468852579441605, 0.0379150950193063, -0.3384558560536956, -0.003782283305665668, 0.07798504074607805, 0.10997665673494339, -0.025631243358271157, -0.22287800390159293, 0.07075725930590866, 0.13907076909719984, -0.0008470110538206538, -0.022113054014305224, 0.012943885365158928, -0.11305008897776431, -0.137184401746003, 0.36601070624453075, 0.017423646783513227, -0.2383635127489284, 0.16081016447052968, -0.14412415552200103, -0.21382304892533135, 0.1593872559641735, 0.14007886298647038, 0.1370446602528801, -0.07553714987102003, 0.06127860325706971, -0.1438024028451467, 0.11844027423827282, 0.1217501939188841, 0.08232476589345962, 0.19930397211193887, 0.06001049071094211, 0.02510784003807574, 0.1334950279204498, -0.0018064896195974884, -0.01831757280576442, -0.302761029566125, -0.20619998734007228, -0.19202713409856875, 0.10801166419548039, -0.05709043725326002, -0.19704226653414722, 0.34257594676099107, 0.12592933000521545, 0.19452653378628346, 0.08266487256718838, 0.2504672247498315, 0.10224820783882098, 0.06750637050765586, 0.0514207468421569, 0.07695934004227545, 0.16857423583919906, 0.004365818575024605, -0.13118462690166482, 0.07009709278734554, 0.1402767550399793] |
1,803.00325 | Description of the thermodynamic properties of $\rm{BiH_{5}}$ and
$\rm{BiH_{6}}$ superconductors beyond the mean-field approximation | The ab initio calculations suggest (Y. Ma et al.), that the high-pressure
($p=200$~GPa) superconducting state in $\rm{BiH_{5}}$ and $\rm{BiH_{6}}$
compounds characterizes with a high value of the critical temperature
($T_{C}\sim 100$~K). Due to the large value of the electron-phonon coupling
constant ($\lambda\sim 1.2$), the thermodynamic parameters of the
superconducting phase in $\rm{BiH_{5}}$ and $\rm{BiH_{6}}$ have been determined
beyond the mean-field approximation - in the framework of the Eliashberg
equations formalism. We have calculated the dependence of the order parameter
($\Delta$) and the wave function renormalization factor on the temperature.
Then we have estimated the free energy difference between the superconducting
state and the normal state, the thermodynamic critical field ($H_{C}$) and the
specific heat of the superconducting state ($C^{S}$) and the normal state
($C^{N}$). The values of the dimensionless ratios
$R_{\Delta}=2\Delta\left(0\right)/k_{B}T_{C}$, $R_{C}=\Delta
C\left(T_{C}\right)/C^{N}\left(T_{C}\right)$ and
$R_{H}=T_{C}C^{N}\left(T_{C}\right)/H^{2}_{C}\left(0\right)$ are equal
$R_{\Delta_{{\rm BiH_{5}}}}=4.17$ and $R_{\Delta_{{\rm BiH_{6}}}}=4.20$,
$R_{C_{{\rm BiH_{5}}}}=2.54$ and $R_{C_{{\rm BiH_{6}}}}=2.58$, $R_{H_{{\rm
BiH_{5}}}}=0.146$ and $R_{H_{{\rm BiH_{6}}}}=0.146$ respectively.
| cond-mat.supr-con | the ab initio calculations suggest y ma et al that the highpressure p200gpa superconducting state in rmbih_5 and rmbih_6 compounds characterizes with a high value of the critical temperature t_csim 100k due to the large value of the electronphonon coupling constant lambdasim 12 the thermodynamic parameters of the superconducting phase in rmbih_5 and rmbih_6 have been determined beyond the meanfield approximation in the framework of the eliashberg equations formalism we have calculated the dependence of the order parameter delta and the wave function renormalization factor on the temperature then we have estimated the free energy difference between the superconducting state and the normal state the thermodynamic critical field h_c and the specific heat of the superconducting state cs and the normal state cn the values of the dimensionless ratios r_delta2deltaleft0rightk_bt_c r_cdelta cleftt_crightcnleftt_cright and r_ht_ccnleftt_crighth2_cleft0right are equal r_delta_rm bih_5417 and r_delta_rm bih_6420 r_c_rm bih_5254 and r_c_rm bih_6258 r_h_rm bih_50146 and r_h_rm bih_60146 respectively | [['the', 'ab', 'initio', 'calculations', 'suggest', 'y', 'ma', 'et', 'al', 'that', 'the', 'highpressure', 'p200gpa', 'superconducting', 'state', 'in', 'rmbih_5', 'and', 'rmbih_6', 'compounds', 'characterizes', 'with', 'a', 'high', 'value', 'of', 'the', 'critical', 'temperature', 't_csim', '100k', 'due', 'to', 'the', 'large', 'value', 'of', 'the', 'electronphonon', 'coupling', 'constant', 'lambdasim', '12', 'the', 'thermodynamic', 'parameters', 'of', 'the', 'superconducting', 'phase', 'in', 'rmbih_5', 'and', 'rmbih_6', 'have', 'been', 'determined', 'beyond', 'the', 'meanfield', 'approximation', 'in', 'the', 'framework', 'of', 'the', 'eliashberg', 'equations', 'formalism', 'we', 'have', 'calculated', 'the', 'dependence', 'of', 'the', 'order', 'parameter', 'delta', 'and', 'the', 'wave', 'function', 'renormalization', 'factor', 'on', 'the', 'temperature', 'then', 'we', 'have', 'estimated', 'the', 'free', 'energy', 'difference', 'between', 'the', 'superconducting', 'state', 'and', 'the', 'normal', 'state', 'the', 'thermodynamic', 'critical', 'field', 'h_c', 'and', 'the', 'specific', 'heat', 'of', 'the', 'superconducting', 'state', 'cs', 'and', 'the', 'normal', 'state', 'cn', 'the', 'values', 'of', 'the', 'dimensionless', 'ratios', 'r_delta2deltaleft0rightk_bt_c', 'r_cdelta', 'cleftt_crightcnleftt_cright', 'and', 'r_ht_ccnleftt_crighth2_cleft0right', 'are', 'equal', 'r_delta_rm', 'bih_5417', 'and', 'r_delta_rm', 'bih_6420', 'r_c_rm', 'bih_5254', 'and', 'r_c_rm', 'bih_6258', 'r_h_rm', 'bih_50146', 'and', 'r_h_rm', 'bih_60146', 'respectively']] | [-0.14355321216688893, 0.19287118796127112, -0.03277086371355238, -0.004512187552207441, 0.0013981094069556513, -0.08344829912339129, 0.12856234212965467, 0.3163619845299356, -0.22296901007613806, -0.30840043767369285, 0.02060057165243649, -0.31590838263283916, -0.053972669557404165, 0.14663976751121957, 0.08915901857205848, 0.07254634880551586, -0.06064899781468644, 0.04831408229378511, -0.1666056399955588, -0.19217812564613215, 0.3393611820108855, 0.030215024051548384, 0.30444516380553815, 0.10456008711176466, 0.06110490027314691, -0.053528788897431276, 0.08532042328768702, 0.03434449842950301, -0.21737829065707265, 0.02294610597804856, 0.2309149949734947, -0.004474034374788292, 0.21673484107674057, -0.38143701155656085, -0.2072467412764846, 0.059968245038484684, 0.07555476175868751, 0.08029129090301915, 0.02802773836979281, -0.2585763230766934, 0.05418335775099347, -0.15610766955373337, -0.10684664049029434, -0.09163830352168698, 0.013002017878670134, 0.022943498361716743, -0.24479021195238873, 0.12682820822515373, 0.003260040747821887, 0.04661280819020058, -0.11492165591248046, -0.20374928421771793, -0.04878754016887674, 0.05896774210633515, 0.03252873428073823, 0.08345131963185633, 0.12987999183103205, -0.14359354578069786, -0.022196558022649207, 0.32427555488061105, -0.0907212879496571, -0.0885651544292037, 0.12735069054526402, -0.17499584591349782, -0.0769857428689946, 0.12825163388485783, 0.07823338499118977, 0.09250348572486337, -0.116664823297578, 0.13284465515857508, 0.021178158630947963, 0.17727218749550686, 0.031605087960861734, 0.024211743518574608, 0.14885949271161164, 0.14275437527433482, -0.010860059236579421, 0.07987498204667319, -0.13436542279886277, -0.11157642885801076, -0.27834170135155095, -0.17860004091060327, -0.1862330650111466, 0.0540818072261016, -0.14167581672963525, -0.16608038245102585, 0.38814822285533396, 0.15920250684575876, 0.20181247094340288, -0.02743543523238666, 0.21708272150092162, 0.19584377305999176, 0.04278934278365558, 0.0917230368758649, 0.3003469329438548, 0.20546269205350207, 0.10958262254595201, -0.33316999156403343, 0.07092173851734555, 0.03599193604982722] |
1,803.00326 | Tuning the two-electron hybridization and spin states in
parallel-coupled InAs quantum dots | We study spin transport in the one- and two-electron regimes of
parallel-coupled double quantum dots (DQDs). The DQDs are formed in InAs
nanowires by a combination of crystal-phase engineering and electrostatic
gating, with an interdot tunnel coupling ($t$) tunable by one order of
magnitude. Large single-particle energy separations (up to 10 meV) and $|g^*|$
factors ($\sim$10) enable detailed studies of the $B$-field-induced transition
from a singlet-to-triplet ground state as a function of $t$. In particular, we
investigate how the magnitude of the spin-orbit-induced singlet-triplet
anticrossing depends on $t$. For cases of strong coupling, we find values of
230 $\mu$eV for the anticrossing using excited-state spectroscopy. Experimental
results are reproduced by calculations based on rate equations and a DQD model
including a single orbital in each dot.
| cond-mat.mes-hall | we study spin transport in the one and twoelectron regimes of parallelcoupled double quantum dots dqds the dqds are formed in inas nanowires by a combination of crystalphase engineering and electrostatic gating with an interdot tunnel coupling t tunable by one order of magnitude large singleparticle energy separations up to 10 mev and g factors sim10 enable detailed studies of the bfieldinduced transition from a singlettotriplet ground state as a function of t in particular we investigate how the magnitude of the spinorbitinduced singlettriplet anticrossing depends on t for cases of strong coupling we find values of 230 muev for the anticrossing using excitedstate spectroscopy experimental results are reproduced by calculations based on rate equations and a dqd model including a single orbital in each dot | [['we', 'study', 'spin', 'transport', 'in', 'the', 'one', 'and', 'twoelectron', 'regimes', 'of', 'parallelcoupled', 'double', 'quantum', 'dots', 'dqds', 'the', 'dqds', 'are', 'formed', 'in', 'inas', 'nanowires', 'by', 'a', 'combination', 'of', 'crystalphase', 'engineering', 'and', 'electrostatic', 'gating', 'with', 'an', 'interdot', 'tunnel', 'coupling', 't', 'tunable', 'by', 'one', 'order', 'of', 'magnitude', 'large', 'singleparticle', 'energy', 'separations', 'up', 'to', '10', 'mev', 'and', 'g', 'factors', 'sim10', 'enable', 'detailed', 'studies', 'of', 'the', 'bfieldinduced', 'transition', 'from', 'a', 'singlettotriplet', 'ground', 'state', 'as', 'a', 'function', 'of', 't', 'in', 'particular', 'we', 'investigate', 'how', 'the', 'magnitude', 'of', 'the', 'spinorbitinduced', 'singlettriplet', 'anticrossing', 'depends', 'on', 't', 'for', 'cases', 'of', 'strong', 'coupling', 'we', 'find', 'values', 'of', '230', 'muev', 'for', 'the', 'anticrossing', 'using', 'excitedstate', 'spectroscopy', 'experimental', 'results', 'are', 'reproduced', 'by', 'calculations', 'based', 'on', 'rate', 'equations', 'and', 'a', 'dqd', 'model', 'including', 'a', 'single', 'orbital', 'in', 'each', 'dot']] | [-0.18322873087045963, 0.18905484519493784, 0.011903628757629063, 0.01212715400728367, 0.04526135989445104, -0.18591264800934662, 0.09961601904585897, 0.40350470310377495, -0.21821375286221625, -0.3552566922059463, -0.04343270916011064, -0.30024412112505805, -0.06820032530043635, 0.2414067784331799, 0.08723628254336936, 0.02142904496729663, 0.07005197865392772, -0.034168165988258774, -0.10198956335549272, -0.15300169227280533, 0.2974928445445614, 0.014338157138779698, 0.23635838084643887, 0.10641960745617267, 0.086193036175363, 0.004692571164454303, 0.1243948046072957, -0.029265170161051495, -0.19084929389082977, 0.05716049689761994, 0.2337027638230563, -0.08649383376037041, 0.2491167124601141, -0.4200745044771822, -0.13159834674649662, -0.000763784333567826, 0.1503045357662373, 0.1301578844863651, -0.02488775533856824, -0.2904515883119236, 0.03310627165070224, -0.16768464582386397, -0.07731374188311278, -0.07616840163245797, -0.007487574569700706, 0.04812906938417244, -0.27214338920349557, 0.09693529966077016, -0.005598390747177144, 0.054288812643966185, -0.030163511943687955, -0.11731041840187484, -0.02855305164872158, 0.09097529081026873, -0.00898045645331994, 0.03462585439387288, 0.19099033329140155, -0.11160926055914212, -0.17144512831263484, 0.31997496033868483, -0.1222391853666669, -0.10669361882384927, 0.12925376125513727, -0.2089217973632678, -0.05882712294377627, 0.12449365643964659, 0.10295142816199411, 0.14853526306180884, -0.12355896911298435, 0.11679986192499317, 0.038122422189541885, 0.19674743297359637, 0.06420686780174653, 0.10626327707582424, 0.22091004326977137, 0.18146994018799537, 0.046384928630657435, 0.12637394953391426, -0.1586642524672507, -0.08789770524843686, -0.256959808930274, -0.1328972103919143, -0.21497855541641794, 0.1407220847735692, -0.07847454089759624, -0.12929113329418243, 0.4436115852910124, 0.11546417106423647, 0.20462790183392504, -0.06196996257189782, 0.24359674382609345, 0.1582735412023706, 0.09506475178885364, 0.00558522239894486, 0.2623788699087116, 0.20188814220431772, 0.03744445943870702, -0.32492465793620795, 0.018374781477295102, -0.021590028252009483] |
1,803.00327 | An explicit positivity preserving numerical scheme for CIR/CEV type
delay models with jump | We consider mean-reverting CIR/CEV processes with delay and jumps used as
models on the financial markets. These processes are solutions of stochastic
differential equations with jumps, which have no explicit solutions. We prove
the non-negativity property of the solution of the above models and propose an
explicit positivity preserving numerical scheme,using the semi-discrete method,
that converges in the strong sense to the exact solution. We also make some
minimal numerical experiments to illustrate the proposed method.
| math.NA | we consider meanreverting circev processes with delay and jumps used as models on the financial markets these processes are solutions of stochastic differential equations with jumps which have no explicit solutions we prove the nonnegativity property of the solution of the above models and propose an explicit positivity preserving numerical schemeusing the semidiscrete method that converges in the strong sense to the exact solution we also make some minimal numerical experiments to illustrate the proposed method | [['we', 'consider', 'meanreverting', 'circev', 'processes', 'with', 'delay', 'and', 'jumps', 'used', 'as', 'models', 'on', 'the', 'financial', 'markets', 'these', 'processes', 'are', 'solutions', 'of', 'stochastic', 'differential', 'equations', 'with', 'jumps', 'which', 'have', 'no', 'explicit', 'solutions', 'we', 'prove', 'the', 'nonnegativity', 'property', 'of', 'the', 'solution', 'of', 'the', 'above', 'models', 'and', 'propose', 'an', 'explicit', 'positivity', 'preserving', 'numerical', 'schemeusing', 'the', 'semidiscrete', 'method', 'that', 'converges', 'in', 'the', 'strong', 'sense', 'to', 'the', 'exact', 'solution', 'we', 'also', 'make', 'some', 'minimal', 'numerical', 'experiments', 'to', 'illustrate', 'the', 'proposed', 'method']] | [-0.10306280266141167, -0.011485315599546428, -0.07068035658448935, 0.10924742583537826, -0.06495918331013338, -0.14482278368007895, 0.03687094879412168, 0.3779383500396098, -0.30461816283295284, -0.2302660555452914, 0.16856720303405529, -0.3227682151026218, -0.19620410733025623, 0.1736704329834194, -0.07420772587175707, 0.13254752443675455, 0.07023263454430963, -0.008921241891142484, -0.06571367527421161, -0.26053388805657224, 0.3027862947925019, 0.01572867317087445, 0.25407184773703684, 0.058937143043589754, 0.22341680264956243, -0.1037756882897402, -0.04308410741489481, -0.01381659390706871, -0.18334499116236977, 0.09757536465956552, 0.22553428636859502, 0.10647653056170188, 0.28888574665462646, -0.4839557112144256, -0.20098100040057623, 0.15190544195875927, 0.11171200902262589, 0.10730223135387122, -0.0785987374256365, -0.27579285010594773, 0.09378926958448279, -0.15103982071820143, -0.1652544719116712, -0.16558322226125244, -0.03488444570275779, 0.11339373018819134, -0.2929630644392927, 0.09177678874402773, 0.084305238626847, -0.007079459437345331, -0.0911552731035831, -0.06970236348491665, -0.02813710751817436, 0.06710269329188442, 0.11620015332733306, -0.10965848551131785, 0.03488336573984172, -0.10064838936149671, -0.16363168141263462, 0.33088710934326454, -0.09943138528615236, -0.2909417526444068, 0.1809857603527505, -0.10193357913050095, -0.133571156848071, 0.1219629056978266, 0.17238168193128062, 0.15788405788810672, -0.1458766804378782, 0.12105206960050792, -0.07660581000350616, 0.13825462925927462, 0.04545951421007614, -0.006268516725646584, 0.07651890160648052, 0.11858689588670795, 0.15724663369395342, 0.12700963521225228, -0.010034673976258852, -0.1904695310592148, -0.369204833008651, -0.15117208371914267, -0.09290959260652999, 0.039413575951412726, -0.15083765940751717, -0.2019267944317009, 0.3505832613005328, 0.19944973023155252, 0.15783194298981815, 0.1364801275005841, 0.2675161007540049, 0.23110858613241314, -0.029727220145129674, 0.08873793125353954, 0.18134669701740258, 0.1224405262304621, 0.12597390604708847, -0.21979928754169392, 0.11741496279609163, 0.11796079876807493] |
1,803.00328 | Geometric realizations of cyclic actions on surfaces -- II | Let $\mathrm{Mod}(S_g)$ denote the mapping class group of the closed
orientable surface $S_g$ of genus $g\geq 2$. Given a finite subgroup $H$ of
$\mathrm{Mod}(S_g)$, let $\mathrm{Fix}(H)$ denote the set of fixed points
induced by the action of $H$ on the Teichm\"{u}ller space
$\mathrm{Teich}(S_g)$. When $H$ is cyclic with $|H| \geq 3$, we show that
$\mathrm{Fix}(H)$ admits a decomposition as a product of two-dimensional strips
at least one of which is of bounded width. For an arbitrary $H$ with at least
one generator of order $\geq 3$, we derive a computable optimal upper bound for
the restriction $\mathrm{sys} : \mathrm{Fix}(H) \to \mathbb{R}^+$ of the
systole function. Furthermore, we show that in such a case, $\mathrm{Fix}(H)$
is not symplectomorphic to the Euclidean space of the same dimension. Finally,
we apply our theory to recover three well-known results, namely: (a) Harvey's
result giving the dimension of $\mathrm{Fix}(H)$, (b) Gilman's result that $H$
is irreducible if and only if the corresponding orbifold is a sphere with three
cone points, and (c) the Nielsen realization theorem for cyclic groups.
| math.GT | let mathrmmods_g denote the mapping class group of the closed orientable surface s_g of genus ggeq 2 given a finite subgroup h of mathrmmods_g let mathrmfixh denote the set of fixed points induced by the action of h on the teichmuller space mathrmteichs_g when h is cyclic with h geq 3 we show that mathrmfixh admits a decomposition as a product of twodimensional strips at least one of which is of bounded width for an arbitrary h with at least one generator of order geq 3 we derive a computable optimal upper bound for the restriction mathrmsys mathrmfixh to mathbbr of the systole function furthermore we show that in such a case mathrmfixh is not symplectomorphic to the euclidean space of the same dimension finally we apply our theory to recover three wellknown results namely a harveys result giving the dimension of mathrmfixh b gilmans result that h is irreducible if and only if the corresponding orbifold is a sphere with three cone points and c the nielsen realization theorem for cyclic groups | [['let', 'mathrmmods_g', 'denote', 'the', 'mapping', 'class', 'group', 'of', 'the', 'closed', 'orientable', 'surface', 's_g', 'of', 'genus', 'ggeq', '2', 'given', 'a', 'finite', 'subgroup', 'h', 'of', 'mathrmmods_g', 'let', 'mathrmfixh', 'denote', 'the', 'set', 'of', 'fixed', 'points', 'induced', 'by', 'the', 'action', 'of', 'h', 'on', 'the', 'teichmuller', 'space', 'mathrmteichs_g', 'when', 'h', 'is', 'cyclic', 'with', 'h', 'geq', '3', 'we', 'show', 'that', 'mathrmfixh', 'admits', 'a', 'decomposition', 'as', 'a', 'product', 'of', 'twodimensional', 'strips', 'at', 'least', 'one', 'of', 'which', 'is', 'of', 'bounded', 'width', 'for', 'an', 'arbitrary', 'h', 'with', 'at', 'least', 'one', 'generator', 'of', 'order', 'geq', '3', 'we', 'derive', 'a', 'computable', 'optimal', 'upper', 'bound', 'for', 'the', 'restriction', 'mathrmsys', 'mathrmfixh', 'to', 'mathbbr', 'of', 'the', 'systole', 'function', 'furthermore', 'we', 'show', 'that', 'in', 'such', 'a', 'case', 'mathrmfixh', 'is', 'not', 'symplectomorphic', 'to', 'the', 'euclidean', 'space', 'of', 'the', 'same', 'dimension', 'finally', 'we', 'apply', 'our', 'theory', 'to', 'recover', 'three', 'wellknown', 'results', 'namely', 'a', 'harveys', 'result', 'giving', 'the', 'dimension', 'of', 'mathrmfixh', 'b', 'gilmans', 'result', 'that', 'h', 'is', 'irreducible', 'if', 'and', 'only', 'if', 'the', 'corresponding', 'orbifold', 'is', 'a', 'sphere', 'with', 'three', 'cone', 'points', 'and', 'c', 'the', 'nielsen', 'realization', 'theorem', 'for', 'cyclic', 'groups']] | [-0.16721979944492904, 0.13869652301027122, -0.062084951359037945, -0.0006473051725848638, -0.061427802243678456, -0.16683412069585501, 0.024517252972507467, 0.3267211360225116, -0.27625226059367564, -0.2351107334320526, 0.10943090080553175, -0.2849232917433681, -0.11453092968559753, 0.19647876071002965, -0.08059804065953613, -0.045908294106174634, 0.03671892729114022, 0.1191201174157884, -0.08837490449986306, -0.27541069832919113, 0.35645917433787855, -0.08690771450729746, 0.16435495820658946, 0.06795958984794356, 0.12657659388370593, 0.012935014752050241, 0.01959101262206909, 0.017912088863058725, -0.19511640676339287, 0.09472847991345222, 0.23076597430705154, 0.09549289632163811, 0.21956732161125245, -0.3189963344756884, -0.17352851854953152, 0.23055707507941064, 0.1328547668877488, -0.027255299044310045, 0.02050701879735557, -0.23228085944456273, 0.15669583844644566, -0.11311523262404548, -0.17901295678132167, 0.0007262415067450694, 0.10842454277131466, -0.05471685798893198, -0.28882248606260497, -0.01679606437247399, 0.11335602587317689, 0.07834148696029412, -0.0290833820741384, -0.13311800861605905, -0.09965624847334989, 0.08716280469946612, -0.020453287775993173, 0.12251577864548094, 0.056009217459512387, -0.06218655901819424, -0.11070561736865699, 0.3676167680168448, -0.11741720530720515, -0.2176927667634006, 0.11709233512421144, -0.20256310140670478, -0.1389657380168288, 0.13119630317192807, 0.10875008591179795, 0.17112829515231195, -0.002895616855195244, 0.22216358048805956, -0.13038486013548417, 0.11445370998386054, 0.09166389012611226, -0.042890105960204414, 0.08801601443586773, 0.09319186031584198, 0.15089666056147183, 0.1425957373406041, -0.05471487775069188, 0.02742504400517029, -0.3943065020292507, -0.1943762471143031, -0.17934539817186476, 0.1453313007529543, -0.1363753377027981, -0.1750477433915397, 0.35567786181291117, 0.03068459522229625, 0.19695380937794157, 0.13341786170021594, 0.2041122239431617, 0.09084584418221646, 0.03060355256359251, 0.14034873774351433, 0.0837545902168716, 0.16971680259724198, -0.10745835624776824, -0.17075362440187766, -0.02460364926925027, 0.19517612924051475] |
1,803.00329 | Dynkin games with Poisson random intervention times | This paper introduces a new class of Dynkin games, where the two players are
allowed to make their stopping decisions at a sequence of exogenous Poisson
arrival times. The value function and the associated optimal stopping strategy
are characterized by the solution of a backward stochastic differential
equation. The paper further applies the model to study the optimal conversion
and calling strategies of convertible bonds, and their asymptotics when the
Poisson intensity goes to infinity.
| math.OC q-fin.MF | this paper introduces a new class of dynkin games where the two players are allowed to make their stopping decisions at a sequence of exogenous poisson arrival times the value function and the associated optimal stopping strategy are characterized by the solution of a backward stochastic differential equation the paper further applies the model to study the optimal conversion and calling strategies of convertible bonds and their asymptotics when the poisson intensity goes to infinity | [['this', 'paper', 'introduces', 'a', 'new', 'class', 'of', 'dynkin', 'games', 'where', 'the', 'two', 'players', 'are', 'allowed', 'to', 'make', 'their', 'stopping', 'decisions', 'at', 'a', 'sequence', 'of', 'exogenous', 'poisson', 'arrival', 'times', 'the', 'value', 'function', 'and', 'the', 'associated', 'optimal', 'stopping', 'strategy', 'are', 'characterized', 'by', 'the', 'solution', 'of', 'a', 'backward', 'stochastic', 'differential', 'equation', 'the', 'paper', 'further', 'applies', 'the', 'model', 'to', 'study', 'the', 'optimal', 'conversion', 'and', 'calling', 'strategies', 'of', 'convertible', 'bonds', 'and', 'their', 'asymptotics', 'when', 'the', 'poisson', 'intensity', 'goes', 'to', 'infinity']] | [-0.11328619498759508, 0.09814180740465721, -0.08820129336789251, 0.0819058163324371, -0.09025443545853098, -0.1827720114402473, 0.1316929963370785, 0.3773615658779939, -0.3527434747417768, -0.26050458692014217, 0.12281401133475205, -0.28340221280852956, -0.12783334113657474, 0.08894788698293268, -0.09060300481816133, 0.05115756834081064, 0.015084168116251628, 0.043038165451337894, -0.0038838187232613564, -0.24532340484360854, 0.34146819652368626, 0.06271282100429137, 0.2791400464375814, -0.03134394293030103, 0.1332943948645455, 0.01685776799917221, -0.07524512114624182, -0.006021888765196006, -0.16563693581769864, 0.09429412432014943, 0.2554141105214755, 0.10074755822618803, 0.35336588526765506, -0.4056012845039368, -0.11510529635309164, 0.15666802521795034, 0.12176570464507677, 0.08907408612469832, 0.01877670146524906, -0.260810078283151, 0.050575630931804574, -0.16137302070390433, -0.13246670728549362, 0.005162353279689948, -0.003837905830393235, 0.0984756590394924, -0.3368411189069351, 0.013927001173918445, 0.058511429950594905, -0.0218388203283151, -0.06609701809085285, -0.12151450781151653, -0.002376248442499976, 0.12997461686415288, 0.1001542538885648, -0.019891319737459223, 0.12021838960548242, -0.11548654877580702, -0.16284319527447225, 0.36204532240207, -0.030201725916316112, -0.20935218001405398, 0.11182463829095166, -0.10530097616836429, -0.11530240810165802, 0.16964490986118713, 0.17244943767786025, 0.16243607454312345, -0.1841672750665263, 0.05509410535426772, 0.010248123221099376, 0.08340991268555323, 0.09462977783133586, 0.0026379888504743576, 0.13269767983506123, 0.1536755784135312, 0.164220931318899, 0.13127939097583294, -0.05217539660710221, -0.17814219867189726, -0.3183903624986609, -0.1426873874788483, -0.09633279234170913, 0.09397012135013938, -0.12141560591078208, -0.13187213227152825, 0.3631872332965334, 0.13389727404961985, 0.17209633494416873, 0.13813445140918096, 0.2320874177167813, 0.20055990492304165, -0.059841190644850335, 0.048471058731277786, 0.13873758857448895, 0.10560443453025073, 0.14553778819739818, -0.22941112504651148, 0.13378681242931634, 0.07156104805724074] |
1,803.0033 | Faddeev approach to the reaction $K^- d \to \pi \Sigma n$ at $p_{K} = 1$
GeV/c | The reaction $K^-d \to \pi \Sigma n$ is studied within a Faddeev-type
approach, with emphasis on the specific kinematics of the E31 experiment at
J-PARC, i.e. $K^-$ beam momentum of $p_K = 1$ GeV/c and neutron angle of
$\theta_n=0^\circ$. The employed Faddeev approach requires as main input
amplitudes for the two-body subsystems $\bar KN \to \bar KN$ and $\bar KN \to
\pi\Sigma$. For the latter results from recently published chiral unitary
models of the $\bar KN$ interaction are utilized. The $\bar KN \to \bar KN$
amplitude itself, however, is taken from a recent partial-wave analysis. Due to
the large incoming momentum of the $K^-$, the $\bar KN$ interaction is probed
in a kinematical regime where those chiral potentials are no longer applicable.
A comparison of the predicted spectrum for various $\pi \Sigma$ charge channels
with preliminary data is made and reveals a remarkable agreement as far as the
magnitude and the line shape in general is concerned. Noticeable differences
observed in the $\pi\Sigma$ spectrum around the $\bar KN$ threshold, i.e. in
the region of the $\Lambda$(1405) resonance, indicate a sensitivity to the
details of the employed $\bar KN \to \pi\Sigma$ amplitudes and suggest that
pertinent high-precision data could indeed provide substantial constraints on
the structure of the $\Lambda$(1405).
| nucl-th | the reaction kd to pi sigma n is studied within a faddeevtype approach with emphasis on the specific kinematics of the e31 experiment at jparc ie k beam momentum of p_k 1 gevc and neutron angle of theta_n0circ the employed faddeev approach requires as main input amplitudes for the twobody subsystems bar kn to bar kn and bar kn to pisigma for the latter results from recently published chiral unitary models of the bar kn interaction are utilized the bar kn to bar kn amplitude itself however is taken from a recent partialwave analysis due to the large incoming momentum of the k the bar kn interaction is probed in a kinematical regime where those chiral potentials are no longer applicable a comparison of the predicted spectrum for various pi sigma charge channels with preliminary data is made and reveals a remarkable agreement as far as the magnitude and the line shape in general is concerned noticeable differences observed in the pisigma spectrum around the bar kn threshold ie in the region of the lambda1405 resonance indicate a sensitivity to the details of the employed bar kn to pisigma amplitudes and suggest that pertinent highprecision data could indeed provide substantial constraints on the structure of the lambda1405 | [['the', 'reaction', 'kd', 'to', 'pi', 'sigma', 'n', 'is', 'studied', 'within', 'a', 'faddeevtype', 'approach', 'with', 'emphasis', 'on', 'the', 'specific', 'kinematics', 'of', 'the', 'e31', 'experiment', 'at', 'jparc', 'ie', 'k', 'beam', 'momentum', 'of', 'p_k', '1', 'gevc', 'and', 'neutron', 'angle', 'of', 'theta_n0circ', 'the', 'employed', 'faddeev', 'approach', 'requires', 'as', 'main', 'input', 'amplitudes', 'for', 'the', 'twobody', 'subsystems', 'bar', 'kn', 'to', 'bar', 'kn', 'and', 'bar', 'kn', 'to', 'pisigma', 'for', 'the', 'latter', 'results', 'from', 'recently', 'published', 'chiral', 'unitary', 'models', 'of', 'the', 'bar', 'kn', 'interaction', 'are', 'utilized', 'the', 'bar', 'kn', 'to', 'bar', 'kn', 'amplitude', 'itself', 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1,803.00331 | Clauser-Horne-Shimony-Holt Bell inequality test in an optomechanical
device | We propose here a scheme, based on the measurement of quadrature phase
coherence, aimed at testing the Clauser-Horne-Shimony-Holt Bell inequality in
an optomechanical setting. Our setup is constituted by two optical cavities
dispersively coupled to a common mechanical resonator. We show that it is
possible to generate EPR-like correlations between the quadratures of the
output fields of the two cavities, and, depending on the system parameters, to
observe the violation of the Clauser-Horne-Shimony-Holt inequality.
| quant-ph | we propose here a scheme based on the measurement of quadrature phase coherence aimed at testing the clauserhorneshimonyholt bell inequality in an optomechanical setting our setup is constituted by two optical cavities dispersively coupled to a common mechanical resonator we show that it is possible to generate eprlike correlations between the quadratures of the output fields of the two cavities and depending on the system parameters to observe the violation of the clauserhorneshimonyholt inequality | [['we', 'propose', 'here', 'a', 'scheme', 'based', 'on', 'the', 'measurement', 'of', 'quadrature', 'phase', 'coherence', 'aimed', 'at', 'testing', 'the', 'clauserhorneshimonyholt', 'bell', 'inequality', 'in', 'an', 'optomechanical', 'setting', 'our', 'setup', 'is', 'constituted', 'by', 'two', 'optical', 'cavities', 'dispersively', 'coupled', 'to', 'a', 'common', 'mechanical', 'resonator', 'we', 'show', 'that', 'it', 'is', 'possible', 'to', 'generate', 'eprlike', 'correlations', 'between', 'the', 'quadratures', 'of', 'the', 'output', 'fields', 'of', 'the', 'two', 'cavities', 'and', 'depending', 'on', 'the', 'system', 'parameters', 'to', 'observe', 'the', 'violation', 'of', 'the', 'clauserhorneshimonyholt', 'inequality']] | [-0.17785439029889735, 0.16023205618576203, -0.062067234039155615, -0.012450981668095934, -0.011580973486038478, -0.23328065838211695, 0.05937347683514393, 0.3719283382886568, -0.23790783110667393, -0.2861891360261251, 0.04209719110450179, -0.2760590465386977, -0.10854784233772473, 0.2504117649923255, -0.02138215148148152, 0.09572534122177072, 0.03210932801704149, -0.00473590221923046, -0.043879989274255175, -0.238700620488679, 0.3469156702489567, 0.0022239537053817026, 0.3437896270896434, 0.00900632211611279, 0.15520827709445478, -0.024320360150414746, 0.06265706495960822, -0.035521679822154144, -0.09927329467973323, 0.12425372469855624, 0.19124888850224986, 0.13758398510666714, 0.275655097831544, -0.4145801785729221, -0.12056194927946136, 0.14294904488063342, 0.08267014644838669, 0.13961976539419108, 0.008608793194808468, -0.3175272554209506, -0.06628167040243342, -0.11668085997823525, -0.09486344959461004, -0.08910066789846767, -0.06231150309857283, -0.021747377626377636, -0.3155532861883576, 0.1002510058869784, 0.02030007561788315, 0.03983470268950269, 0.03210714784752879, 0.020745117464291585, 0.07621489229574296, 0.03855538492191683, -0.049785060285766784, -0.022652819123421167, 0.1311233648149347, -0.08554508124015646, -0.1603692497151929, 0.33457413242777456, -0.05245597636314562, -0.203887294424144, 0.14978375534111685, -0.16155561001191066, -0.07378431037068367, 0.029371580854687537, 0.15726898769168435, 0.062146647109624906, -0.16558616678859736, -0.032692416659965355, -0.05712505672882135, 0.258932349976857, 0.09710494973193351, 0.13048126478679478, 0.16401755588280187, 0.14300015093003576, 0.05781723613020133, 0.2313157403338197, -0.08833596974609709, -0.07567271690837711, -0.36069409730466634, -0.17023707134019886, -0.24700967589947018, 0.049939099082572234, -0.08978822381794925, -0.10701179829098888, 0.391630317297018, 0.14580091476641796, 0.12147506241485276, -0.023333887695460707, 0.3095276150474879, 0.10168684949324391, 0.06374461127042368, 0.009115902190977658, 0.38068821920063095, 0.19162960892002023, 0.06670163323901393, -0.3102810908033437, 0.010361514799926128, 0.022719504767903] |
1,803.00332 | Geometry Transition in Covariant Loop Quantum Gravity | In this manuscript we present a calculation of a physical observable in a
non-perturbative quantum gravitational physical process from covariant Loop
Quantum Gravity. The process regards the transition of a trapped region to an
anti--trapped region, treated as a quantum geometry transition akin to
gravitational tunneling. Figuratively speaking, this is a quantum transition of
a black hole to a white hole. The physical observables are the characteristic
timescales in which the process takes place.
After an introduction, we begin with two chapters that review, define and
extend main tools relevant to Lorentzian spinfoams and their semiclassical
limit. We then dedicate a chapter to the classical exterior spacetime, which
provides the setup for the problem. In the last two chapters, we arrive at an
explicit, analytically well-defined and finite expression for a transition
amplitude describing this process and use the semiclassical approximation to
estimate the relevant amplitudes for an arbitrary choice of boundary
conditions. We conclude that the transition is predicted to be allowed by LQG,
with a characteristic duration that is linear in the mass, when the process
takes place. The probability for the process to take place is exponentially
suppressed but non-zero, resulting to a long lifetime.
| gr-qc math-ph math.MP | in this manuscript we present a calculation of a physical observable in a nonperturbative quantum gravitational physical process from covariant loop quantum gravity the process regards the transition of a trapped region to an antitrapped region treated as a quantum geometry transition akin to gravitational tunneling figuratively speaking this is a quantum transition of a black hole to a white hole the physical observables are the characteristic timescales in which the process takes place after an introduction we begin with two chapters that review define and extend main tools relevant to lorentzian spinfoams and their semiclassical limit we then dedicate a chapter to the classical exterior spacetime which provides the setup for the problem in the last two chapters we arrive at an explicit analytically welldefined and finite expression for a transition amplitude describing this process and use the semiclassical approximation to estimate the relevant amplitudes for an arbitrary choice of boundary conditions we conclude that the transition is predicted to be allowed by lqg with a characteristic duration that is linear in the mass when the process takes place the probability for the process to take place is exponentially suppressed but nonzero resulting to a long lifetime | [['in', 'this', 'manuscript', 'we', 'present', 'a', 'calculation', 'of', 'a', 'physical', 'observable', 'in', 'a', 'nonperturbative', 'quantum', 'gravitational', 'physical', 'process', 'from', 'covariant', 'loop', 'quantum', 'gravity', 'the', 'process', 'regards', 'the', 'transition', 'of', 'a', 'trapped', 'region', 'to', 'an', 'antitrapped', 'region', 'treated', 'as', 'a', 'quantum', 'geometry', 'transition', 'akin', 'to', 'gravitational', 'tunneling', 'figuratively', 'speaking', 'this', 'is', 'a', 'quantum', 'transition', 'of', 'a', 'black', 'hole', 'to', 'a', 'white', 'hole', 'the', 'physical', 'observables', 'are', 'the', 'characteristic', 'timescales', 'in', 'which', 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1,803.00333 | Properties of a Small-scale Short-duration Solar Eruption with a Driven
Shock | Large-scale solar eruptions have been extensively explored over many years.
However, the properties of small-scale events with associated shocks have been
rarely investigated. We present the analyses of a small-scale short-duration
event originating from a small region. The impulsive phase of the M1.9-class
flare lasted only for four minutes. The kinematic evolution of the CME hot
channel reveals some exceptional characteristics including a very short
duration of the main acceleration phase ($<$ 2 minutes), a rather high maximal
acceleration rate ($\sim$50 km s$^{-2}$) and peak velocity ($\sim$1800 km
s$^{-1}$). The fast and impulsive kinematics subsequently results in a
piston-driven shock related to a metric type II radio burst with a high
starting frequency of $\sim$320 MHz of the fundamental band. The type II source
is formed at a low height of below $1.1~\mathrm{R_{\odot}}$ less than $\sim2$
minutes after the onset of the main acceleration phase. Through the band split
of the type II burst, the shock compression ratio decreases from 2.2 to 1.3,
and the magnetic field strength of the shock upstream region decreases from 13
to 0.5 Gauss at heights of 1.1 to 2.3 $~\mathrm{R_{\odot}}$. We find that the
CME ($\sim4\times10^{30}\,\mathrm{erg}$) and flare
($\sim1.6\times10^{30}\,\mathrm{erg}$) consume similar amount of magnetic
energy. The same conclusion for large-scale eruptions implies that small- and
large-scale events possibly share the similar relationship between CMEs and
flares. The kinematic particularities of this event are possibly related to the
small footpoint-separation distance of the associated magnetic flux rope, as
predicted by the Erupting Flux Rope model.
| astro-ph.SR | largescale solar eruptions have been extensively explored over many years however the properties of smallscale events with associated shocks have been rarely investigated we present the analyses of a smallscale shortduration event originating from a small region the impulsive phase of the m19class flare lasted only for four minutes the kinematic evolution of the cme hot channel reveals some exceptional characteristics including a very short duration of the main acceleration phase 2 minutes a rather high maximal acceleration rate sim50 km s2 and peak velocity sim1800 km s1 the fast and impulsive kinematics subsequently results in a pistondriven shock related to a metric type ii radio burst with a high starting frequency of sim320 mhz of the fundamental band the type ii source is formed at a low height of below 11mathrmr_odot less than sim2 minutes after the onset of the main acceleration phase through the band split of the type ii burst the shock compression ratio decreases from 22 to 13 and the magnetic field strength of the shock upstream region decreases from 13 to 05 gauss at heights of 11 to 23 mathrmr_odot we find that the cme sim4times1030mathrmerg and flare sim16times1030mathrmerg consume similar amount of magnetic energy the same conclusion for largescale eruptions implies that small and largescale events possibly share the similar relationship between cmes and flares the kinematic particularities of this event are possibly related to the small footpointseparation distance of the associated magnetic flux rope as predicted by the erupting flux rope model | [['largescale', 'solar', 'eruptions', 'have', 'been', 'extensively', 'explored', 'over', 'many', 'years', 'however', 'the', 'properties', 'of', 'smallscale', 'events', 'with', 'associated', 'shocks', 'have', 'been', 'rarely', 'investigated', 'we', 'present', 'the', 'analyses', 'of', 'a', 'smallscale', 'shortduration', 'event', 'originating', 'from', 'a', 'small', 'region', 'the', 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1,803.00334 | On the Mackey problem for free locally convex spaces | We show that the free locally convex space $L(X)$ over a Tychonoff space $X$
is a Mackey group iff $L(X)$ is a Mackey space iff $X$ is discrete.
| math.GN math.FA | we show that the free locally convex space lx over a tychonoff space x is a mackey group iff lx is a mackey space iff x is discrete | [['we', 'show', 'that', 'the', 'free', 'locally', 'convex', 'space', 'lx', 'over', 'a', 'tychonoff', 'space', 'x', 'is', 'a', 'mackey', 'group', 'iff', 'lx', 'is', 'a', 'mackey', 'space', 'iff', 'x', 'is', 'discrete']] | [-0.19562171589184021, 0.14619956834108702, -0.18612539710011333, 0.1148829241241661, -0.13356993087966526, -0.09533623414712825, 0.0632072731054255, 0.5653626455792359, -0.38023162526743753, 0.006512451783886978, 0.10156115116218903, -0.2452943933395935, -0.08297865106058973, 0.16570079659244843, -0.20634877951150493, -0.1157691812674914, -0.014738005452922412, 0.12654776545241475, -0.21716569602722302, -0.3484486582289849, 0.3921261806307094, -0.14944660410817182, 0.20572576705100282, -0.05575368826144508, 0.29771648226804764, 0.03179209541329848, 0.030472737337861742, 0.04924775804413782, -0.12210973476222924, 0.06573982014586884, 0.3186331179791263, 0.10441208883587803, 0.3434412008417504, -0.1803595724299417, -0.22821161204150744, 0.26051490368055447, 0.04692505785663213, -0.20794822515121528, 0.017968253698199987, -0.2873781928127365, 0.12223573491376426, -0.22872891649603844, -0.0010758625409965003, -0.03781148993376909, 0.2014393033792398, -0.04705826568949435, -0.2769977577097182, -0.09310542708928031, 0.07563262758776546, -0.014560818613972515, -0.12466166501066514, 0.005371809537921633, -0.20646609931385942, -0.01822014054882207, -0.08020610434635143, 0.2991649565519765, 0.10598484534836773, 0.059605550952255726, -0.061199876513066034, 0.39915083614843233, -0.07857664275382246, -0.20502697310543486, 0.10199464328720101, -0.2741633687234883, -0.16251022847635405, 0.22025122280631745, -0.021021679575954164, 0.1767463447260005, -0.02108116847063814, 0.4360930914325373, -0.2553955303238971, 0.229340503990118, -0.020671057381800244, 0.06272694044413843, 0.08231500223545092, 0.1750694330715175, 0.16113957885785826, 0.07564663966851574, 0.07064524350737754, 0.0500331132539681, -0.4042048933583179, -0.27914215358240263, -0.19881147398180993, 0.1828655646781304, -0.040721641088436754, -0.15950478174324548, 0.21777194281042153, -0.06385356041469745, 0.15310943189875356, 0.18596012517809868, 0.18980495618390186, 0.04236021331910576, -0.03621062809335334, 0.19015525908408953, -0.015762216145438806, 0.172968142848861, -0.07820849784600016, -0.07051059143019042, -0.014158874051645398, 0.2880022110683577] |
1,803.00335 | Rough Path Renormalization from Stratonovich to It\^o for Fractional
Brownian Motion | This paper develops an It\^o-type fractional pathwise integration theory for
fractional Brownian motion with Hurst parameters \( H \in (\frac{1}{3},
\frac{1}{2}] \), using the Lyons' rough path framework. This approach is
designed to fill gaps in conventional stochastic calculus models that fail to
account for temporal persistence prevalent in dynamic systems such as those
found in economics, finance, and engineering. The pathwise-defined method not
only meets the zero expectation criterion but also addresses the challenges of
integrating non-semimartingale processes, which traditional It\^o calculus
cannot handle. We apply this theory to fractional Black-Scholes models and
high-dimensional fractional Ornstein-Uhlenbeck processes, illustrating the
advantages of this approach. Additionally, the paper discusses the
generalization of It\^o integrals to rough differential equations (RDE) driven
by fBM, emphasizing the necessity of integrand-specific adaptations in the
It\^o rough path lift for stochastic modeling.
| math.PR | this paper develops an itotype fractional pathwise integration theory for fractional brownian motion with hurst parameters h in frac13 frac12 using the lyons rough path framework this approach is designed to fill gaps in conventional stochastic calculus models that fail to account for temporal persistence prevalent in dynamic systems such as those found in economics finance and engineering the pathwisedefined method not only meets the zero expectation criterion but also addresses the challenges of integrating nonsemimartingale processes which traditional ito calculus cannot handle we apply this theory to fractional blackscholes models and highdimensional fractional ornsteinuhlenbeck processes illustrating the advantages of this approach additionally the paper discusses the generalization of ito integrals to rough differential equations rde driven by fbm emphasizing the necessity of integrandspecific adaptations in the ito rough path lift for stochastic modeling | [['this', 'paper', 'develops', 'an', 'itotype', 'fractional', 'pathwise', 'integration', 'theory', 'for', 'fractional', 'brownian', 'motion', 'with', 'hurst', 'parameters', 'h', 'in', 'frac13', 'frac12', 'using', 'the', 'lyons', 'rough', 'path', 'framework', 'this', 'approach', 'is', 'designed', 'to', 'fill', 'gaps', 'in', 'conventional', 'stochastic', 'calculus', 'models', 'that', 'fail', 'to', 'account', 'for', 'temporal', 'persistence', 'prevalent', 'in', 'dynamic', 'systems', 'such', 'as', 'those', 'found', 'in', 'economics', 'finance', 'and', 'engineering', 'the', 'pathwisedefined', 'method', 'not', 'only', 'meets', 'the', 'zero', 'expectation', 'criterion', 'but', 'also', 'addresses', 'the', 'challenges', 'of', 'integrating', 'nonsemimartingale', 'processes', 'which', 'traditional', 'ito', 'calculus', 'can', 'not', 'handle', 'we', 'apply', 'this', 'theory', 'to', 'fractional', 'blackscholes', 'models', 'and', 'highdimensional', 'fractional', 'ornsteinuhlenbeck', 'processes', 'illustrating', 'the', 'advantages', 'of', 'this', 'approach', 'additionally', 'the', 'paper', 'discusses', 'the', 'generalization', 'of', 'ito', 'integrals', 'to', 'rough', 'differential', 'equations', 'rde', 'driven', 'by', 'fbm', 'emphasizing', 'the', 'necessity', 'of', 'integrandspecific', 'adaptations', 'in', 'the', 'ito', 'rough', 'path', 'lift', 'for', 'stochastic', 'modeling']] | [-0.058343582422493545, 0.05692375392254347, -0.08575468944189579, 0.11585135493318978, -0.13767052985048553, -0.13223438276567923, 0.01704883638811403, 0.35747483064581576, -0.36576723452408877, -0.2783043175389556, 0.08101774326655173, -0.25636992199150355, -0.21819484533560007, 0.19279184749812112, -0.20950128568364376, 0.10403950787779588, 0.031319802112289165, -0.06714695575822116, -0.017421032538413442, -0.2124314335545987, 0.2680854317250739, -0.01623921920510387, 0.22554738284963974, -0.01695645471012458, 0.1373528734766296, 0.018650194596765295, -0.08898631105185452, 0.011562688901138148, -0.20244252851743408, 0.15669584079974688, 0.278909976804934, 0.020869429849956492, 0.3500003195262717, -0.4419159711359587, -0.2580189729963702, 0.08580086693251715, 0.13663579709083892, 0.03812673645482672, 0.012385177268485602, -0.3008578711476429, 0.0305878823356969, -0.16346605270190684, -0.17245868383556662, -0.10243496580462538, 0.04704644483395089, 0.028752511216649658, -0.27540543867639244, 0.1095451275969915, 0.1293456673944243, 0.030769338933387735, -0.06540238979767966, -0.1331610422392369, 0.026918869651153796, 0.03185048194854219, 0.05057724310204219, -0.033466663471111484, 0.10895310341786678, -0.12343992859727346, -0.21442416432502687, 0.30313776698509665, -0.0833949961190119, -0.2885014676726143, 0.13912393908975715, -0.12595614677127032, -0.14218667723742642, 0.13245240637430347, 0.13390858651355916, 0.11935578394485147, -0.24104358688963198, 0.14700189027217517, 0.045879543226744444, 0.09170157206769948, 0.06090578816382956, -0.008034679340308049, 0.09517185300331707, 0.20270334006308166, 0.10416026490511149, 0.09900024727939215, -0.04637826914387874, -0.23251928729390292, -0.3347586398538118, -0.19657071835984638, -0.11969780089697779, 0.05643940244340058, -0.11258637659663957, -0.20483902087557668, 0.29042565106253204, 0.25020671633065195, 0.12414346818104946, 0.07830066290505483, 0.2691910718130018, 0.22641235393650577, -0.01635691246255896, 0.045436683318449037, 0.1317865672806642, 0.1449436441578559, 0.19575995984102101, -0.15992224805452687, 0.08323163727886583, 0.09070437165551391] |
1,803.00336 | A new and sharper bound for Legendre expansion of differentiable
functions | In this paper, we provide a new and sharper bound for the Legendre
coefficients of differentiable functions and then derive a new error bound of
the truncated Legendre series in the uniform norm. The key idea of proof relies
on integration by parts and a sharp Bernstein-type inequality for the Legendre
polynomial. An illustrative example is provided to demonstrate the sharpness of
our new results.
| math.NA | in this paper we provide a new and sharper bound for the legendre coefficients of differentiable functions and then derive a new error bound of the truncated legendre series in the uniform norm the key idea of proof relies on integration by parts and a sharp bernsteintype inequality for the legendre polynomial an illustrative example is provided to demonstrate the sharpness of our new results | [['in', 'this', 'paper', 'we', 'provide', 'a', 'new', 'and', 'sharper', 'bound', 'for', 'the', 'legendre', 'coefficients', 'of', 'differentiable', 'functions', 'and', 'then', 'derive', 'a', 'new', 'error', 'bound', 'of', 'the', 'truncated', 'legendre', 'series', 'in', 'the', 'uniform', 'norm', 'the', 'key', 'idea', 'of', 'proof', 'relies', 'on', 'integration', 'by', 'parts', 'and', 'a', 'sharp', 'bernsteintype', 'inequality', 'for', 'the', 'legendre', 'polynomial', 'an', 'illustrative', 'example', 'is', 'provided', 'to', 'demonstrate', 'the', 'sharpness', 'of', 'our', 'new', 'results']] | [-0.08821342775526528, 0.009360180080805618, -0.12576768223885804, 0.08192717454467828, -0.08130367014270562, -0.09892982889969762, 0.035639800871005996, 0.28104378724327456, -0.28132776663495374, -0.24768473802206034, 0.11421892560230425, -0.2153663234373268, -0.21693731669623117, 0.28436375793714364, -0.1104815454293902, 0.09206380753133159, 0.023525110646509206, 0.04167852132052828, -0.12653604137281385, -0.2905107382971507, 0.3564772177487612, 0.036079862269644554, 0.2163837313078917, 0.1246698323207406, 0.10675151863207037, -0.010229924801163949, -0.03893671701304041, -0.09240932392959411, -0.20453429113213834, 0.21953582118910092, 0.1894066321162077, 0.12394045490699891, 0.3001745211103788, -0.410727157515402, -0.11526609586121944, 0.061587308805722454, 0.14187205188836044, 0.04781111470208718, -0.09582120855876174, -0.30838540471517123, 0.05381898914392178, -0.10813217552808616, -0.1694304257273101, -0.15114375447424558, -0.033759932012225574, 0.0849420228256629, -0.3682447212533309, 0.1009909922328706, 0.14028508433928857, 0.07787810345538533, -0.05590376784451879, -0.13111590812914073, 0.08064428596184231, 0.043709016340569805, 0.03119516196087576, 0.028550066027002267, 0.027640294634665434, -0.04812396487149482, -0.09345730283082677, 0.2703317676169368, -0.09005898332688958, -0.24131930930396686, 0.09980482974877725, -0.1401343891182198, -0.16403808247011442, 0.09029681334415307, 0.16895670598516097, 0.15655170097374, -0.11893166771445136, 0.08276059398015674, -0.07008004633423227, 0.15634095307726126, 0.08192772509960028, 0.03522163666784763, 0.06635143047628494, 0.09599951921174159, 0.14554016585819995, 0.21793455426008082, -0.031286084641200994, -0.06846995432502949, -0.41927882687260326, -0.25027545754117175, -0.2668816367594095, 0.00037367232860280916, -0.17381002679400037, -0.17562481268094135, 0.4091657197819306, 0.06688726750703958, 0.19798139929771424, 0.13841591306890433, 0.30138433277606963, 0.18420871799417698, 0.0012092522918604888, 0.06335859393271116, 0.19589080533299308, 0.14511571386470817, 0.05517881370077913, -0.12694400007335038, 0.03527585679235367, 0.18675289302347944] |
1,803.00337 | Oscillatory motion of a droplet in an active poroelastic two-phase model | We investigate flow-driven amoeboid motility as exhibited by microplasmodia
of Physarum polycephalum. A poroelastic two-phase model with rigid boundaries
is extended to the case of free boundaries and substrate friction. The
cytoskeleton is modeled as an active viscoelastic solid permeated by a fluid
phase describing the cytosol. A feedback loop between a chemical regulator,
active mechanical deformations, and induced flows gives rise to oscillatory and
irregular motion accompanied by spatio-temporal contraction patterns. We cover
extended parameter regimes of active tension and substrate friction by
numerical simulations in one spatial dimension and reproduce experimentally
observed oscillation periods and amplitudes. In line with experiments, the
model predicts alternating forward and backward ectoplasmatic flow at the
boundaries with reversed flow in the center. However, for all cases of periodic
and irregular motion, we observe practically no net motion. A simple
theoretical argument shows that directed motion is not possible with a
spatially independent substrate friction.
| cond-mat.soft nlin.AO | we investigate flowdriven amoeboid motility as exhibited by microplasmodia of physarum polycephalum a poroelastic twophase model with rigid boundaries is extended to the case of free boundaries and substrate friction the cytoskeleton is modeled as an active viscoelastic solid permeated by a fluid phase describing the cytosol a feedback loop between a chemical regulator active mechanical deformations and induced flows gives rise to oscillatory and irregular motion accompanied by spatiotemporal contraction patterns we cover extended parameter regimes of active tension and substrate friction by numerical simulations in one spatial dimension and reproduce experimentally observed oscillation periods and amplitudes in line with experiments the model predicts alternating forward and backward ectoplasmatic flow at the boundaries with reversed flow in the center however for all cases of periodic and irregular motion we observe practically no net motion a simple theoretical argument shows that directed motion is not possible with a spatially independent substrate friction | [['we', 'investigate', 'flowdriven', 'amoeboid', 'motility', 'as', 'exhibited', 'by', 'microplasmodia', 'of', 'physarum', 'polycephalum', 'a', 'poroelastic', 'twophase', 'model', 'with', 'rigid', 'boundaries', 'is', 'extended', 'to', 'the', 'case', 'of', 'free', 'boundaries', 'and', 'substrate', 'friction', 'the', 'cytoskeleton', 'is', 'modeled', 'as', 'an', 'active', 'viscoelastic', 'solid', 'permeated', 'by', 'a', 'fluid', 'phase', 'describing', 'the', 'cytosol', 'a', 'feedback', 'loop', 'between', 'a', 'chemical', 'regulator', 'active', 'mechanical', 'deformations', 'and', 'induced', 'flows', 'gives', 'rise', 'to', 'oscillatory', 'and', 'irregular', 'motion', 'accompanied', 'by', 'spatiotemporal', 'contraction', 'patterns', 'we', 'cover', 'extended', 'parameter', 'regimes', 'of', 'active', 'tension', 'and', 'substrate', 'friction', 'by', 'numerical', 'simulations', 'in', 'one', 'spatial', 'dimension', 'and', 'reproduce', 'experimentally', 'observed', 'oscillation', 'periods', 'and', 'amplitudes', 'in', 'line', 'with', 'experiments', 'the', 'model', 'predicts', 'alternating', 'forward', 'and', 'backward', 'ectoplasmatic', 'flow', 'at', 'the', 'boundaries', 'with', 'reversed', 'flow', 'in', 'the', 'center', 'however', 'for', 'all', 'cases', 'of', 'periodic', 'and', 'irregular', 'motion', 'we', 'observe', 'practically', 'no', 'net', 'motion', 'a', 'simple', 'theoretical', 'argument', 'shows', 'that', 'directed', 'motion', 'is', 'not', 'possible', 'with', 'a', 'spatially', 'independent', 'substrate', 'friction']] | [-0.15824774156014124, 0.21286271135410062, -0.08333745978151759, -0.0004903275092753271, -0.06676909181599816, -0.172606255573531, 0.016682904825235406, 0.4129261226331194, -0.29213116045109927, -0.2648283477996786, 0.06199062489671633, -0.22428587424355403, -0.21081807231826435, 0.17592127626140913, -0.04988244983057181, 0.0299216544337105, 0.03499412965495139, -0.02085744039621204, 0.04102786240594772, -0.1195961535225312, 0.23383278076536954, 0.023707782183773816, 0.2640327463392168, 0.0074095767984787625, 0.1415646201496323, -0.013695182320661843, -0.024042800919463238, 0.09742936654645745, -0.16843500116786647, 0.04755891477921978, 0.2093180573048691, -0.056479384173144354, 0.18147962702748677, -0.48888830124090116, -0.28781318306922915, 0.05583619527208308, 0.1494526112948855, 0.12104223197015623, -0.055538394103447596, -0.24029144360528637, 0.012205237274368603, -0.14171551546702782, -0.18511058640200645, -0.04042972268536687, 0.08148937782893578, 0.026774449912445562, -0.24261642197302233, 0.1526168921721789, 0.0669887015176937, 0.09129362640184506, -0.11391652073711157, -0.01772897083312273, -0.07560886869672685, 0.11109126288443803, 0.04433272224540512, 0.0035045917875443896, 0.21514432893755536, -0.14768968106635535, -0.09235301996891697, 0.3735115912944699, -0.04377836820669472, -0.21245951343948644, 0.23145491790336867, -0.14418440483355274, -0.04346405238534013, 0.1957738995893548, 0.17186104298879704, 0.07534930676221847, -0.12872352315112948, 0.012919238881828884, -0.026046942460040252, 0.16543336026370525, 0.10780485708732158, -0.11215869401969636, 0.21846073437171679, 0.22682866643648594, 0.047399971450213345, 0.1474579092146208, -0.08565084577227632, -0.14078360389956893, -0.28783345978086194, -0.09924196651360641, -0.09595640809430431, 0.011625919368525502, -0.10084650395360464, -0.1871382785247018, 0.3483799271720151, 0.05924939183518291, 0.22440551656919222, 0.028853939961021147, 0.26628259804410237, 0.0395292855380103, 0.05620419915687914, 0.07703789296249548, 0.24684611598805836, 0.15422557560882222, 0.12726693854356805, -0.27296869702947635, 0.07478203000656018, 0.07880996411821495] |
1,803.00338 | Synthesizing realistic neural population activity patterns using
Generative Adversarial Networks | The ability to synthesize realistic patterns of neural activity is crucial
for studying neural information processing. Here we used the Generative
Adversarial Networks (GANs) framework to simulate the concerted activity of a
population of neurons. We adapted the Wasserstein-GAN variant to facilitate the
generation of unconstrained neural population activity patterns while still
benefiting from parameter sharing in the temporal domain. We demonstrate that
our proposed GAN, which we termed Spike-GAN, generates spike trains that match
accurately the first- and second-order statistics of datasets of tens of
neurons and also approximates well their higher-order statistics. We applied
Spike-GAN to a real dataset recorded from salamander retina and showed that it
performs as well as state-of-the-art approaches based on the maximum entropy
and the dichotomized Gaussian frameworks. Importantly, Spike-GAN does not
require to specify a priori the statistics to be matched by the model, and so
constitutes a more flexible method than these alternative approaches. Finally,
we show how to exploit a trained Spike-GAN to construct 'importance maps' to
detect the most relevant statistical structures present in a spike train.
Spike-GAN provides a powerful, easy-to-use technique for generating realistic
spiking neural activity and for describing the most relevant features of the
large-scale neural population recordings studied in modern systems
neuroscience.
| q-bio.NC cs.NE | the ability to synthesize realistic patterns of neural activity is crucial for studying neural information processing here we used the generative adversarial networks gans framework to simulate the concerted activity of a population of neurons we adapted the wassersteingan variant to facilitate the generation of unconstrained neural population activity patterns while still benefiting from parameter sharing in the temporal domain we demonstrate that our proposed gan which we termed spikegan generates spike trains that match accurately the first and secondorder statistics of datasets of tens of neurons and also approximates well their higherorder statistics we applied spikegan to a real dataset recorded from salamander retina and showed that it performs as well as stateoftheart approaches based on the maximum entropy and the dichotomized gaussian frameworks importantly spikegan does not require to specify a priori the statistics to be matched by the model and so constitutes a more flexible method than these alternative approaches finally we show how to exploit a trained spikegan to construct importance maps to detect the most relevant statistical structures present in a spike train spikegan provides a powerful easytouse technique for generating realistic spiking neural activity and for describing the most relevant features of the largescale neural population recordings studied in modern systems neuroscience | [['the', 'ability', 'to', 'synthesize', 'realistic', 'patterns', 'of', 'neural', 'activity', 'is', 'crucial', 'for', 'studying', 'neural', 'information', 'processing', 'here', 'we', 'used', 'the', 'generative', 'adversarial', 'networks', 'gans', 'framework', 'to', 'simulate', 'the', 'concerted', 'activity', 'of', 'a', 'population', 'of', 'neurons', 'we', 'adapted', 'the', 'wassersteingan', 'variant', 'to', 'facilitate', 'the', 'generation', 'of', 'unconstrained', 'neural', 'population', 'activity', 'patterns', 'while', 'still', 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1,803.00339 | Measurement of the lifetime of the $7s^2S_{1/2} $ state in atomic cesium
using asynchronous gated detection | We report a measurement of the lifetime of the cesium $7s\,^2S_{1/2}$ state
using time-correlated single-photon counting spectroscopy in a vapor cell. We
excite the atoms using a Doppler-free two-photon transition from the
$6s\,^2S_{1/2}$ ground state, and detect the 1.47$\mu$m photons from the
spontaneous decay of the $7s\,^2S_{1/2}$ to the $6p\,^2P_{3/2}$ state. We use a
gated single photon detector in an asynchronous mode, allowing us to capture
the fluorescence profile for a window much larger than the detector gate
length. Analysis of the exponential decay of the photon count yields a
$7s\,^2S_{1/2}$ lifetime of 48.28$\pm$0.07ns, an uncertainty of 0.14%. These
measurements provide sensitive tests of theoretical models of the Cs atom,
which play a central role in parity violation measurements.
| physics.atom-ph | we report a measurement of the lifetime of the cesium 7s2s_12 state using timecorrelated singlephoton counting spectroscopy in a vapor cell we excite the atoms using a dopplerfree twophoton transition from the 6s2s_12 ground state and detect the 147mum photons from the spontaneous decay of the 7s2s_12 to the 6p2p_32 state we use a gated single photon detector in an asynchronous mode allowing us to capture the fluorescence profile for a window much larger than the detector gate length analysis of the exponential decay of the photon count yields a 7s2s_12 lifetime of 4828pm007ns an uncertainty of 014 these measurements provide sensitive tests of theoretical models of the cs atom which play a central role in parity violation measurements | [['we', 'report', 'a', 'measurement', 'of', 'the', 'lifetime', 'of', 'the', 'cesium', '7s2s_12', 'state', 'using', 'timecorrelated', 'singlephoton', 'counting', 'spectroscopy', 'in', 'a', 'vapor', 'cell', 'we', 'excite', 'the', 'atoms', 'using', 'a', 'dopplerfree', 'twophoton', 'transition', 'from', 'the', '6s2s_12', 'ground', 'state', 'and', 'detect', 'the', '147mum', 'photons', 'from', 'the', 'spontaneous', 'decay', 'of', 'the', '7s2s_12', 'to', 'the', '6p2p_32', 'state', 'we', 'use', 'a', 'gated', 'single', 'photon', 'detector', 'in', 'an', 'asynchronous', 'mode', 'allowing', 'us', 'to', 'capture', 'the', 'fluorescence', 'profile', 'for', 'a', 'window', 'much', 'larger', 'than', 'the', 'detector', 'gate', 'length', 'analysis', 'of', 'the', 'exponential', 'decay', 'of', 'the', 'photon', 'count', 'yields', 'a', '7s2s_12', 'lifetime', 'of', '4828pm007ns', 'an', 'uncertainty', 'of', '014', 'these', 'measurements', 'provide', 'sensitive', 'tests', 'of', 'theoretical', 'models', 'of', 'the', 'cs', 'atom', 'which', 'play', 'a', 'central', 'role', 'in', 'parity', 'violation', 'measurements']] | [-0.08029960045929203, 0.19094699390000736, -0.0784975217579029, 0.014615183178303313, 0.037671674861861716, -0.1491443714696978, 0.13392751534461397, 0.3515184076888294, -0.20058838137553942, -0.2993709459130106, 0.023559939590933058, -0.32395834896456577, 0.01624489670563168, 0.18092088217060243, 0.03482666272862718, 0.07359369662750898, 0.05966872996891495, 0.021803867162440118, -0.03553329845629472, -0.11153135625324373, 0.2255928780911651, 0.10074122782379132, 0.31124195848302594, 0.04880042939350523, 0.09444976278885814, 0.008179021912932011, 0.003418097842548942, -0.0777710784740489, -0.12136702750937949, 0.11939163268383207, 0.2103282075273016, 0.091391486107725, 0.20459579095115948, -0.44648365586482247, -0.16308275067472253, 0.12021872823945536, 0.13034614573778777, 0.17426249131074592, -0.0680337720691098, -0.33004941230896734, -0.007389538957544699, -0.17176454890808412, -0.07993582320993702, -0.03610519464288292, -0.02871769867387825, -0.02679970211766917, -0.2909829424983212, 0.07158364149629427, 0.013262896884858993, 0.04670883590307344, -0.029008258776418095, -0.059148657261112965, 0.03253536849033794, 0.08520348808037695, -0.03373805978255154, 0.009183296142948856, 0.2060435777690647, -0.12310816125205622, -0.13806195570766155, 0.3262113759390496, -0.1314704514898667, -0.11709751569312708, 0.10731260155644749, -0.18681835359090876, -0.09594900671649596, 0.20478730031152673, 0.16396885209492054, 0.14987628611511197, -0.10479037489758097, 0.0005570957893786695, -0.01872461211289568, 0.2846985620181558, 0.08862811666993617, 0.14868813020514388, 0.19181093331506668, 0.20306150274700485, 0.03358009834934411, 0.1644948043635693, -0.21803649223473823, -0.0687021211046597, -0.30075199813742576, -0.18570698165246446, -0.15655401904323613, 0.09380776879848342, -0.021971661910481936, -0.1267967299123672, 0.4209405893845291, 0.11328827004462223, 0.19984311194978013, -0.01631788699787335, 0.31380989980193436, 0.13386291442920678, 0.07288615964353085, -0.04052632180192349, 0.29898071600573844, 0.1864125251876399, 0.07973805219908486, -0.3011199486148865, 0.06344924643555463, -0.03624337495722134] |
1,803.0034 | Optimal electro-mechanical control of the excitonic fine structures of
droplet epitaxial quantum dots | The intrinsic fine structure splittings (FSSs) of the exciton states of
semiconductor quantum dots (QDs) are known to be the major obstacle for
realizing the QD-based entangled photon pair emitters. In this study, we
present a theoretical and computational investigation of the excitonic fine
structures of droplet-epitaxial (DE) GaAs/AlGaAs QDs under the
electro-mechanical control of micro-machined piezoelectricity actuators. From
the group theory analysis with numerical confirmation based on the developed
exciton theory, we reveal the general principle for the optimal design of
micro-machined actuators whose application on to an elongated QD can certainly
suppress its FSS. We show that the use of two independently tuning stresses is
sufficient to achieve the FSS-elimination but is not always necessary as widely
deemed. The use of a single tuning stress to eliminate the FSS of an elongated
QD is possible as long as the crystal structure of the actuator material is in
coincidence with that of the QD. As a feasible example, we show that a {\it
single} symmetric bi-axial stress naturally generated from the $(001)$ PMN-PT
actuator can be used as a single tuning knob to make the full FSS-elimination
for elongated DE GaAs QDs.
| cond-mat.mes-hall | the intrinsic fine structure splittings fsss of the exciton states of semiconductor quantum dots qds are known to be the major obstacle for realizing the qdbased entangled photon pair emitters in this study we present a theoretical and computational investigation of the excitonic fine structures of dropletepitaxial de gaasalgaas qds under the electromechanical control of micromachined piezoelectricity actuators from the group theory analysis with numerical confirmation based on the developed exciton theory we reveal the general principle for the optimal design of micromachined actuators whose application on to an elongated qd can certainly suppress its fss we show that the use of two independently tuning stresses is sufficient to achieve the fsselimination but is not always necessary as widely deemed the use of a single tuning stress to eliminate the fss of an elongated qd is possible as long as the crystal structure of the actuator material is in coincidence with that of the qd as a feasible example we show that a it single symmetric biaxial stress naturally generated from the 001 pmnpt actuator can be used as a single tuning knob to make the full fsselimination for elongated de gaas qds | [['the', 'intrinsic', 'fine', 'structure', 'splittings', 'fsss', 'of', 'the', 'exciton', 'states', 'of', 'semiconductor', 'quantum', 'dots', 'qds', 'are', 'known', 'to', 'be', 'the', 'major', 'obstacle', 'for', 'realizing', 'the', 'qdbased', 'entangled', 'photon', 'pair', 'emitters', 'in', 'this', 'study', 'we', 'present', 'a', 'theoretical', 'and', 'computational', 'investigation', 'of', 'the', 'excitonic', 'fine', 'structures', 'of', 'dropletepitaxial', 'de', 'gaasalgaas', 'qds', 'under', 'the', 'electromechanical', 'control', 'of', 'micromachined', 'piezoelectricity', 'actuators', 'from', 'the', 'group', 'theory', 'analysis', 'with', 'numerical', 'confirmation', 'based', 'on', 'the', 'developed', 'exciton', 'theory', 'we', 'reveal', 'the', 'general', 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1,803.00341 | Optimization temperature sensitivity using the optically detected
magnetic resonance spectrum of a nitrogen-vacancy center ensemble | Temperature sensing with nitrogen vacancy (NV) centers using quantum
techniques is very promising and further development is expected. Recently, the
optically detected magnetic resonance (ODMR) spectrum of a high-density
ensemble of the NV centers was reproduced with noise parameters [inhomogeneous
magnetic field, inhomogeneous strain (electric field) distribution, and
homogeneous broadening] of the NV center ensemble. In this study, we use ODMR
to estimate the noise parameters of the NV centers in several diamonds. These
parameters strongly depend on the spin concentration. This knowledge is then
applied to theoretically predict the temperature sensitivity. Using the
diffraction-limited volume of 0.1 micron^3, which is the typical limit in
confocal microscopy, the optimal sensitivity is estimated to be around 0.76
mK/Hz^(1/2) with an NV center concentration of 5.0e10^17/cm^3. This sensitivity
is much higher than previously reported sensitivities, demonstrating the
excellent potential of temperature sensing with NV centers.
| quant-ph cond-mat.mes-hall | temperature sensing with nitrogen vacancy nv centers using quantum techniques is very promising and further development is expected recently the optically detected magnetic resonance odmr spectrum of a highdensity ensemble of the nv centers was reproduced with noise parameters inhomogeneous magnetic field inhomogeneous strain electric field distribution and homogeneous broadening of the nv center ensemble in this study we use odmr to estimate the noise parameters of the nv centers in several diamonds these parameters strongly depend on the spin concentration this knowledge is then applied to theoretically predict the temperature sensitivity using the diffractionlimited volume of 01 micron3 which is the typical limit in confocal microscopy the optimal sensitivity is estimated to be around 076 mkhz12 with an nv center concentration of 50e1017cm3 this sensitivity is much higher than previously reported sensitivities demonstrating the excellent potential of temperature sensing with nv centers | [['temperature', 'sensing', 'with', 'nitrogen', 'vacancy', 'nv', 'centers', 'using', 'quantum', 'techniques', 'is', 'very', 'promising', 'and', 'further', 'development', 'is', 'expected', 'recently', 'the', 'optically', 'detected', 'magnetic', 'resonance', 'odmr', 'spectrum', 'of', 'a', 'highdensity', 'ensemble', 'of', 'the', 'nv', 'centers', 'was', 'reproduced', 'with', 'noise', 'parameters', 'inhomogeneous', 'magnetic', 'field', 'inhomogeneous', 'strain', 'electric', 'field', 'distribution', 'and', 'homogeneous', 'broadening', 'of', 'the', 'nv', 'center', 'ensemble', 'in', 'this', 'study', 'we', 'use', 'odmr', 'to', 'estimate', 'the', 'noise', 'parameters', 'of', 'the', 'nv', 'centers', 'in', 'several', 'diamonds', 'these', 'parameters', 'strongly', 'depend', 'on', 'the', 'spin', 'concentration', 'this', 'knowledge', 'is', 'then', 'applied', 'to', 'theoretically', 'predict', 'the', 'temperature', 'sensitivity', 'using', 'the', 'diffractionlimited', 'volume', 'of', '01', 'micron3', 'which', 'is', 'the', 'typical', 'limit', 'in', 'confocal', 'microscopy', 'the', 'optimal', 'sensitivity', 'is', 'estimated', 'to', 'be', 'around', '076', 'mkhz12', 'with', 'an', 'nv', 'center', 'concentration', 'of', '50e1017cm3', 'this', 'sensitivity', 'is', 'much', 'higher', 'than', 'previously', 'reported', 'sensitivities', 'demonstrating', 'the', 'excellent', 'potential', 'of', 'temperature', 'sensing', 'with', 'nv', 'centers']] | [-0.03742359975742586, 0.1455863416039076, 0.003593688355164325, -0.004625943165308803, 0.01846799172513874, -0.10525762768303777, 0.0226925133924819, 0.4823926329771255, -0.224745464659831, -0.3370185686433886, 0.0808764742860729, -0.29912917893247826, -0.03224191770117717, 0.17568078922464492, -0.029037567288185476, 0.03646646873325321, 0.007909366927037002, 0.04264988412036964, -0.04205544727874246, -0.1963249394564447, 0.23671314135154195, 0.10022158165386356, 0.36575679969808733, 0.049502343642822605, 0.072118087253923, 0.011646567021516408, 0.0828126462751088, 0.054351837461787865, -0.12387076296334994, 0.14778119501334133, 0.24404899701343993, 0.022260621678850328, 0.21431269285315319, -0.37935373017973933, -0.2270635891580254, 0.12710955947082728, 0.1679630433176215, 0.17832615940768853, -0.10789447040412681, -0.295125416252128, 0.06220089787194598, -0.0925274341043534, -0.18770940598523153, -0.04999388229920932, -0.011204168965036036, 0.03784474999155083, -0.2709434835722419, 0.11502729712965641, 0.00026500496537761487, 0.09350494095883893, -0.10593919089585807, -0.11147221831806295, -0.00423992196996267, 0.05454705577634328, -0.0437158523887026, 0.07335569830578323, 0.31292848329964684, -0.10229130523735062, -0.10278311930596828, 0.3004726042231241, -0.0865944112930323, -0.07539562166978915, 0.14528223796721204, -0.21313932863169793, -0.0889470508018284, 0.15635838704381852, 0.11409234722926784, 0.14583559386128336, -0.17666842832051693, 0.06036342019033585, 0.02854506503245694, 0.21800767990978473, 0.07125015767515762, 0.06721360341427808, 0.2188681000612465, 0.1934346493766214, 0.11069172955735698, 0.1269350021979309, -0.20324942970760695, -0.030372088999612957, -0.15574762489686303, -0.13862907667875501, -0.21550244474056976, 0.10086990248474642, -0.1333400888881623, -0.11715672857702729, 0.36458689822478496, 0.20071143252735443, 0.21019203268678477, -0.0937274565898767, 0.29729263513540544, 0.13466084633577377, 0.09738109227111365, 0.004973103756296402, 0.29185544837229876, 0.24365421712187166, 0.08148287591055459, -0.3146952695522048, -0.002264781689918633, -0.06820347349668014] |
1,803.00342 | Hybrid Precoding Based on Non-Uniform Quantization Codebook to Reduce
Feedback Overhead in Millimeter Wave MIMO Systems | In this paper, we focus on the design of the hybrid analog/digital precoding
in millimeter wave multiple-input multiple-output (MIMO) systems. To reduce the
feedback overhead, we propose two non-uniform quantization (NUQ) codebook based
hybrid precoding schemes for two main hybrid precoding implementations, i.e.,
the full-connected structure and the sub-connected structure. Specifically, we
firstly group the angles of the arrive/departure (AOAs/AODs) of the scattering
paths into several spatial lobes by exploiting the sparseness property of the
millimeter wave in the angular domain, which divides the total angular domain
into effective spatial lobes' coverage angles and ineffective coverage angles.
Then, we map the quantization bits non-uniformly to different coverage angles
and construct NUQ codebooks, where high numbers of quantization bits are
employed for the effective coverage angles to quantize AoAs/AoDs and zero
quantization bit is employed for ineffective coverage angles. Finally, two
low-complexity hybrid analog/digital precoding schemes are proposed based on
NUQ codebooks. Simulation results demonstrate that, the proposed two NUQ
codebook based hybrid precoding schemes achieve near-optimal spectral
efficiencies and show the superiority in reducing the feedback overhead
compared with the uniform quantization (UQ) codebook based works, e.g., at
least 12.5% feedback overhead could be reduced for a system with 144/36
transmitting/receiving antennas.
| cs.IT math.IT | in this paper we focus on the design of the hybrid analogdigital precoding in millimeter wave multipleinput multipleoutput mimo systems to reduce the feedback overhead we propose two nonuniform quantization nuq codebook based hybrid precoding schemes for two main hybrid precoding implementations ie the fullconnected structure and the subconnected structure specifically we firstly group the angles of the arrivedeparture aoasaods of the scattering paths into several spatial lobes by exploiting the sparseness property of the millimeter wave in the angular domain which divides the total angular domain into effective spatial lobes coverage angles and ineffective coverage angles then we map the quantization bits nonuniformly to different coverage angles and construct nuq codebooks where high numbers of quantization bits are employed for the effective coverage angles to quantize aoasaods and zero quantization bit is employed for ineffective coverage angles finally two lowcomplexity hybrid analogdigital precoding schemes are proposed based on nuq codebooks simulation results demonstrate that the proposed two nuq codebook based hybrid precoding schemes achieve nearoptimal spectral efficiencies and show the superiority in reducing the feedback overhead compared with the uniform quantization uq codebook based works eg at least 125 feedback overhead could be reduced for a system with 14436 transmittingreceiving antennas | [['in', 'this', 'paper', 'we', 'focus', 'on', 'the', 'design', 'of', 'the', 'hybrid', 'analogdigital', 'precoding', 'in', 'millimeter', 'wave', 'multipleinput', 'multipleoutput', 'mimo', 'systems', 'to', 'reduce', 'the', 'feedback', 'overhead', 'we', 'propose', 'two', 'nonuniform', 'quantization', 'nuq', 'codebook', 'based', 'hybrid', 'precoding', 'schemes', 'for', 'two', 'main', 'hybrid', 'precoding', 'implementations', 'ie', 'the', 'fullconnected', 'structure', 'and', 'the', 'subconnected', 'structure', 'specifically', 'we', 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1,803.00343 | $SU(1,1|N)$ superconformal mechanics with fermionic gauge symmetry | We study superpaticle models with fermionic gauge symmetry on the coset
spaces of the $SU(1,1|N)$ supergroup. We first construct $SU(1,1|N)$
supersymmetric extension of a particle on $AdS_2$ possessing the
$\kappa$-symmetry. Including angular degrees of freedom and extending this
model to a superparticle on the $AdS_2\times \mathbb{CP}^{N-1}$ background with
two-form flux, one breaks the $\kappa$-symmetry down to a fermionic gauge
symmetry with one parameter. A link of the background field configuration to
the near horizon black hole geometries is discussed.
| hep-th | we study superpaticle models with fermionic gauge symmetry on the coset spaces of the su11n supergroup we first construct su11n supersymmetric extension of a particle on ads_2 possessing the kappasymmetry including angular degrees of freedom and extending this model to a superparticle on the ads_2times mathbbcpn1 background with twoform flux one breaks the kappasymmetry down to a fermionic gauge symmetry with one parameter a link of the background field configuration to the near horizon black hole geometries is discussed | [['we', 'study', 'superpaticle', 'models', 'with', 'fermionic', 'gauge', 'symmetry', 'on', 'the', 'coset', 'spaces', 'of', 'the', 'su11n', 'supergroup', 'we', 'first', 'construct', 'su11n', 'supersymmetric', 'extension', 'of', 'a', 'particle', 'on', 'ads_2', 'possessing', 'the', 'kappasymmetry', 'including', 'angular', 'degrees', 'of', 'freedom', 'and', 'extending', 'this', 'model', 'to', 'a', 'superparticle', 'on', 'the', 'ads_2times', 'mathbbcpn1', 'background', 'with', 'twoform', 'flux', 'one', 'breaks', 'the', 'kappasymmetry', 'down', 'to', 'a', 'fermionic', 'gauge', 'symmetry', 'with', 'one', 'parameter', 'a', 'link', 'of', 'the', 'background', 'field', 'configuration', 'to', 'the', 'near', 'horizon', 'black', 'hole', 'geometries', 'is', 'discussed']] | [-0.18212975862507635, 0.15309257564158776, -0.05742349482786197, 0.09881163443414828, -0.12472722850119074, -0.14809280559898186, -0.025276439222626578, 0.31691577851485747, -0.12735260393207845, -0.2601725615752049, 0.11029711007200277, -0.2804642231681217, -0.06521085398988082, 0.07246784343927477, -0.05953727213319582, -0.01736643051322645, -0.05785134442946097, 0.09067612087640625, -0.14572733284857792, -0.23287141018320257, 0.35331706579726857, 0.043516785049667724, 0.23716976784933835, -0.03409018052312044, 0.20271575202246028, 0.036579824918403454, 0.045388914501437776, -0.034869709864067726, -0.15252878420795193, 0.09860770700451656, 0.15406701631624087, 0.037494054094004706, 0.06552249042747113, -0.39139338086048764, -0.24222493160945865, 0.10698992553620766, 0.1510538333453811, 0.16270497324279484, -0.012830809282604605, -0.32749248433332795, -0.024332621994499978, -0.18655410343303513, -0.21708355521938452, -0.05147115879644377, -0.027211170970426444, -0.1320802237963877, -0.21682071400424227, 0.06458778601760666, 0.015392750579242906, 0.03739927895068645, -0.056567584473388985, -0.04531129170806171, -0.1322914907374443, -0.005586221712665298, 0.1684228646619699, 0.08320389308620435, 0.16782976953515735, -0.17529886292042926, -0.14220499215074456, 0.3747434708265922, -0.06743265500513072, -0.3055473830646429, 0.14856679163849315, -0.1533546394143158, -0.19214988444358683, 0.11791259933931705, 0.11484276818541381, 0.1518118582152499, -0.1011090104181606, 0.2463629389389191, -0.04317954387993385, 0.13860987191303417, 0.06597306093392082, 0.06883735643126644, 0.3197289808020473, 0.13167802932170722, 0.08282929050545089, 0.17131771360679218, -0.05641738123272379, -0.15579801685854386, -0.42252441791769785, -0.1427563197361544, -0.08987759002364981, 0.13706074397748289, -0.14568946063380467, -0.14622713061861503, 0.429274801708137, 0.10981929385646556, 0.162138320123538, 0.055264921309665226, 0.18309508718383044, 0.06310677443607113, 0.09516509242642385, 0.052087821036529466, 0.2365654566181967, 0.1933702940482479, 0.03439785913229944, -0.26379154128834414, -0.23955247570306826, 0.1813889435486486] |
1,803.00344 | A Deep Learning Approach for Multimodal Deception Detection | Automatic deception detection is an important task that has gained momentum
in computational linguistics due to its potential applications. In this paper,
we propose a simple yet tough to beat multi-modal neural model for deception
detection. By combining features from different modalities such as video,
audio, and text along with Micro-Expression features, we show that detecting
deception in real life videos can be more accurate. Experimental results on a
dataset of real-life deception videos show that our model outperforms existing
techniques for deception detection with an accuracy of 96.14% and ROC-AUC of
0.9799.
| cs.CL cs.AI cs.CV | automatic deception detection is an important task that has gained momentum in computational linguistics due to its potential applications in this paper we propose a simple yet tough to beat multimodal neural model for deception detection by combining features from different modalities such as video audio and text along with microexpression features we show that detecting deception in real life videos can be more accurate experimental results on a dataset of reallife deception videos show that our model outperforms existing techniques for deception detection with an accuracy of 9614 and rocauc of 09799 | [['automatic', 'deception', 'detection', 'is', 'an', 'important', 'task', 'that', 'has', 'gained', 'momentum', 'in', 'computational', 'linguistics', 'due', 'to', 'its', 'potential', 'applications', 'in', 'this', 'paper', 'we', 'propose', 'a', 'simple', 'yet', 'tough', 'to', 'beat', 'multimodal', 'neural', 'model', 'for', 'deception', 'detection', 'by', 'combining', 'features', 'from', 'different', 'modalities', 'such', 'as', 'video', 'audio', 'and', 'text', 'along', 'with', 'microexpression', 'features', 'we', 'show', 'that', 'detecting', 'deception', 'in', 'real', 'life', 'videos', 'can', 'be', 'more', 'accurate', 'experimental', 'results', 'on', 'a', 'dataset', 'of', 'reallife', 'deception', 'videos', 'show', 'that', 'our', 'model', 'outperforms', 'existing', 'techniques', 'for', 'deception', 'detection', 'with', 'an', 'accuracy', 'of', '9614', 'and', 'rocauc', 'of', '09799']] | [-0.0510651226306416, -0.0011741313389323365, -0.07003583714038461, 0.0507729714429313, -0.12024362814090736, -0.1698925113254278, -0.012895388220395933, 0.47030839426340637, -0.23967316633622562, -0.31896133974685775, 0.08128761498201229, -0.3203605240681669, -0.25897944665380884, 0.2531499294512956, -0.20769417187669775, 0.05667298706696154, 0.15224970044097402, 0.09589475638918825, -0.0033709020942326758, -0.27536039798428397, 0.2610700496339372, 0.026984945789061406, 0.3289061887420018, 0.10486721245643611, 0.1261479500425304, -0.02128648869488593, -0.03619376458816107, -0.018709878836359297, -0.030372586447900994, 0.171096115160713, 0.3958577580934206, 0.24773285412587798, 0.3137058600844754, -0.3873253251108658, -0.2801962473153413, 0.10618676185597675, 0.17532708659604357, 0.143690268478387, -0.11263068130826398, -0.40889199010536564, 0.12085726301973829, -0.21225772836951765, 0.04097277553915814, -0.1786292985255656, 0.02738988696812437, -0.039129090577282095, -0.24215644101642972, 0.07521714234294799, 0.0429911544971209, 0.1125614816466203, -0.04180421335699425, -0.07536857443155495, 0.0615029815075264, 0.18387210033424609, 0.07399334186421973, 0.02233278510866912, 0.11601673786088333, -0.2597312918418998, -0.22587878102498068, 0.4040243136901204, -0.08588528295385313, -0.1832793223502749, 0.23894399583626252, 0.01598476659465622, -0.17914559172752959, 0.10333833906922367, 0.2370568395152197, 0.13171014137013437, -0.14935696551289696, -0.04055719066457311, -0.0343812319992499, 0.23367428804164406, 0.041281690514022175, 0.0053129036051149554, 0.19159479263228374, 0.2841780893095247, 0.021987530745688703, 0.11512979515700263, -0.14214228013540608, -0.018954949412535834, -0.1756091030457845, -0.11260429661382619, -0.19862586583246242, -0.03568816385590113, -0.09067926260068307, -0.09702269122475288, 0.39758071684084095, 0.3030697417517121, 0.16869319955675074, 0.10971871860693772, 0.40392490116122004, 0.01981550928942122, 0.06558782211504877, 0.0243277598401419, 0.16846512750962975, -0.0742061867834079, 0.13748986993987972, -0.15639290964911476, 0.09523993380019789, 0.001666211830145055] |
1,803.00345 | Proxyeconomics, the inevitable corruption of proxy-based competition | When society maintains a competitive system to promote an abstract goal,
competition by necessity relies on imperfect proxy measures. For instance
profit is used to measure value to consumers, patient volumes to measure
hospital performance, or the Journal Impact Factor to measure scientific value.
Here we note that \textit{any proxy measure in a competitive societal system
becomes a target for the competitors, promoting corruption of the measure},
suggesting a general applicability of what is best known as Campbell's or
Goodhart's Law. Indeed, prominent voices have argued that the scientific
reproducibility crisis or inaction to the threat of global warming represent
instances of such competition induced corruption. Moreover, competing
individuals often report that competitive pressures limit their ability to act
according to the societal goal, suggesting lock-in. However, despite the
profound implications, we lack a coherent theory of such a process. Here we
propose such a theory, formalized as an agent based model, integrating insights
from complex systems theory, contest theory, behavioral economics and cultural
evolution theory. The model reproduces empirically observed patterns at
multiple levels. It further suggests that any system is likely to converge
towards an equilibrium level of corruption determined by i) the information
captured in the proxy and ii) the strength of an intrinsic incentive towards
the societal goal. Overall, the theory offers mechanistic insight to subjects
as diverse as the scientific reproducibility crisis and the threat of global
warming.
| physics.soc-ph cs.GT q-fin.GN | when society maintains a competitive system to promote an abstract goal competition by necessity relies on imperfect proxy measures for instance profit is used to measure value to consumers patient volumes to measure hospital performance or the journal impact factor to measure scientific value here we note that textitany proxy measure in a competitive societal system becomes a target for the competitors promoting corruption of the measure suggesting a general applicability of what is best known as campbells or goodharts law indeed prominent voices have argued that the scientific reproducibility crisis or inaction to the threat of global warming represent instances of such competition induced corruption moreover competing individuals often report that competitive pressures limit their ability to act according to the societal goal suggesting lockin however despite the profound implications we lack a coherent theory of such a process here we propose such a theory formalized as an agent based model integrating insights from complex systems theory contest theory behavioral economics and cultural evolution theory the model reproduces empirically observed patterns at multiple levels it further suggests that any system is likely to converge towards an equilibrium level of corruption determined by i the information captured in the proxy and ii the strength of an intrinsic incentive towards the societal goal overall the theory offers mechanistic insight to subjects as diverse as the scientific reproducibility crisis and the threat of global warming | [['when', 'society', 'maintains', 'a', 'competitive', 'system', 'to', 'promote', 'an', 'abstract', 'goal', 'competition', 'by', 'necessity', 'relies', 'on', 'imperfect', 'proxy', 'measures', 'for', 'instance', 'profit', 'is', 'used', 'to', 'measure', 'value', 'to', 'consumers', 'patient', 'volumes', 'to', 'measure', 'hospital', 'performance', 'or', 'the', 'journal', 'impact', 'factor', 'to', 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0.17901684396926218, -0.01963153263042349] |
1,803.00346 | Dexterous Manipulation Graphs | We propose the Dexterous Manipulation Graph as a tool to address in-hand
manipulation and reposition an object inside a robot's end-effector. This graph
is used to plan a sequence of manipulation primitives so to bring the object to
the desired end pose. This sequence of primitives is translated into motions of
the robot to move the object held by the end-effector. We use a dual arm robot
with parallel grippers to test our method on a real system and show successful
planning and execution of in-hand manipulation.
| cs.RO | we propose the dexterous manipulation graph as a tool to address inhand manipulation and reposition an object inside a robots endeffector this graph is used to plan a sequence of manipulation primitives so to bring the object to the desired end pose this sequence of primitives is translated into motions of the robot to move the object held by the endeffector we use a dual arm robot with parallel grippers to test our method on a real system and show successful planning and execution of inhand manipulation | [['we', 'propose', 'the', 'dexterous', 'manipulation', 'graph', 'as', 'a', 'tool', 'to', 'address', 'inhand', 'manipulation', 'and', 'reposition', 'an', 'object', 'inside', 'a', 'robots', 'endeffector', 'this', 'graph', 'is', 'used', 'to', 'plan', 'a', 'sequence', 'of', 'manipulation', 'primitives', 'so', 'to', 'bring', 'the', 'object', 'to', 'the', 'desired', 'end', 'pose', 'this', 'sequence', 'of', 'primitives', 'is', 'translated', 'into', 'motions', 'of', 'the', 'robot', 'to', 'move', 'the', 'object', 'held', 'by', 'the', 'endeffector', 'we', 'use', 'a', 'dual', 'arm', 'robot', 'with', 'parallel', 'grippers', 'to', 'test', 'our', 'method', 'on', 'a', 'real', 'system', 'and', 'show', 'successful', 'planning', 'and', 'execution', 'of', 'inhand', 'manipulation']] | [-0.11311064031103561, 0.0192286350830236, -0.12411741921999331, -0.03881339947880385, -0.17575190770814472, -0.16248858158594404, 0.04917859905881101, 0.4741785342580286, -0.2900349464449475, -0.38982025904302625, 0.08869554685835523, -0.17405396112810884, -0.13980157943121319, 0.18729210212484174, -0.20064483939445224, 0.10123346407962, 0.13707682650921674, 0.05301990381163684, 0.03819023701362312, -0.1953007185693841, 0.23549717596006825, -0.034225969115036656, 0.21409292808123703, -0.006597338527997677, 0.22452031056685695, 0.06809633284530886, 0.0423518810528277, -0.02751625761732288, -0.0579678813295289, 0.20717633117375703, 0.27281318339465677, 0.19194274251188698, 0.2950922889613557, -0.4499035230570141, -0.11597456877259002, 0.05793388769426651, 0.12145152146360655, 0.1168321746604881, -0.023275660592781636, -0.3881558184565484, 0.10673874994504383, -0.15979936411443713, -0.1042735428420891, -0.09026461348322959, 0.04179131847688521, -0.013767713520290523, -0.24276483155273157, -0.11898217861936695, 0.06257577973080734, 0.06611519449272718, -0.04692653650632021, -0.000412506397931312, 0.04409068019193565, 0.2553212093671077, -0.029874801865896618, 0.10943770211660998, 0.24986598262263612, -0.1885573705711841, -0.20354854160834146, 0.4419641925942624, 0.047218102364982854, -0.23753743137008157, 0.21190301268682654, -0.05857399344744011, -0.11743448134083515, 0.06195281669711587, 0.25549457144077825, 0.1956291495897304, -0.1373393528762905, -0.009065537025011948, -0.0039596361236582545, 0.1809502924824583, 0.06170503345542941, -0.07540747016968055, 0.25127698579567603, 0.21258214424396382, 0.15211764162128, 0.1895412259745872, -0.10684137346875992, -0.07022187428484702, -0.2473643952659492, -0.1844310540727329, -0.17396224749370895, -0.03069926697182758, -0.03838944022397205, -0.15169943770629235, 0.37029707474612644, 0.22334447033146673, 0.20732540532347116, 0.06610727068786135, 0.37366451892530783, 0.019819378213229023, 0.08908725866041649, 0.07284872804971776, 0.1687232343715498, 0.01398513389312416, 0.11904019300943647, -0.2237893958768711, 0.07045459822783696, 0.06719210214013684] |
1,803.00347 | Laser-controlled field effect in graphene/hexagonal boron nitride
heterostructures | The possibility of modification of the local properties of hexagonal boron
nitride (h-BN) by laser irradiation is investigated. Investigations conducted
using both Raman spectroscopy and electrostatic force microscopy were
performed. Laser light induced modifications are found to cause no structural
changes. However, they have impact on Raman spectra and local charge state of
the material. They are also shown to be stable in time and during electrical
grounding of the sample. The mechanism of photoionization of deep defects
present in h-BN is proposed to explain the observed phenomenon. The discussed
effect opens up new method of nanostructurization of h-BN based planar
heterostructures.
| cond-mat.mtrl-sci | the possibility of modification of the local properties of hexagonal boron nitride hbn by laser irradiation is investigated investigations conducted using both raman spectroscopy and electrostatic force microscopy were performed laser light induced modifications are found to cause no structural changes however they have impact on raman spectra and local charge state of the material they are also shown to be stable in time and during electrical grounding of the sample the mechanism of photoionization of deep defects present in hbn is proposed to explain the observed phenomenon the discussed effect opens up new method of nanostructurization of hbn based planar heterostructures | [['the', 'possibility', 'of', 'modification', 'of', 'the', 'local', 'properties', 'of', 'hexagonal', 'boron', 'nitride', 'hbn', 'by', 'laser', 'irradiation', 'is', 'investigated', 'investigations', 'conducted', 'using', 'both', 'raman', 'spectroscopy', 'and', 'electrostatic', 'force', 'microscopy', 'were', 'performed', 'laser', 'light', 'induced', 'modifications', 'are', 'found', 'to', 'cause', 'no', 'structural', 'changes', 'however', 'they', 'have', 'impact', 'on', 'raman', 'spectra', 'and', 'local', 'charge', 'state', 'of', 'the', 'material', 'they', 'are', 'also', 'shown', 'to', 'be', 'stable', 'in', 'time', 'and', 'during', 'electrical', 'grounding', 'of', 'the', 'sample', 'the', 'mechanism', 'of', 'photoionization', 'of', 'deep', 'defects', 'present', 'in', 'hbn', 'is', 'proposed', 'to', 'explain', 'the', 'observed', 'phenomenon', 'the', 'discussed', 'effect', 'opens', 'up', 'new', 'method', 'of', 'nanostructurization', 'of', 'hbn', 'based', 'planar', 'heterostructures']] | [-0.0955850813097284, 0.13675907891992406, -0.09483112998343274, -0.01150517158128102, -0.018740757249807026, -0.12109568388219558, 0.08940721864928491, 0.5026829927137085, -0.2739717124906533, -0.3315923473998612, -0.011574372578430556, -0.29965636357847675, -0.1672033775088779, 0.2337585805604855, 0.01728967426563887, 0.08830277135540895, 0.01550273024750983, -0.09838752155922645, -0.022454332991722312, -0.23330241260027476, 0.25978192332082006, 0.10282902877353241, 0.3401931007940541, 0.13164776812453627, 0.04147111444149678, -0.03840097144026967, 0.002079600660020814, 0.010551523709414052, -0.1407426100397738, 0.07665418406163642, 0.19732831599072134, -0.04894477653536288, 0.22657888648830646, -0.520325303269084, -0.24796905132996686, 0.014755296703501074, 0.0982346786825242, 0.13127541862081224, -0.14458663338069422, -0.25866544824983817, 0.08103694321385667, -0.09657349447062348, -0.10468175852506914, -0.0967028852068253, -0.012073737381975733, 0.025347951515440774, -0.1969912471386659, 0.05355278820035678, 0.04144378034991449, 0.08433400973444805, -0.11070090404474268, -0.08041449906487091, -0.10404320443779522, 0.051419557743322325, 0.04057337873724892, -0.011242640647562403, 0.24009264200268424, -0.08147058825866849, -0.12337415826086905, 0.3976064374414729, -0.04471946052987786, -0.0598983670835664, 0.15283461897770928, -0.16985511241535492, -0.07859947848791148, 0.17314805507696435, 0.12999977749845415, 0.1421995279287883, -0.1706907309919331, 0.05011822145909308, 0.028684805302570265, 0.1776720301485529, 0.1469458654869859, 0.09798139867295201, 0.21535176975086479, 0.21613723993319653, -0.011204777630137316, 0.15190549176437415, -0.13727240730305293, 0.01240624772731726, -0.1806984921899058, -0.1232729374211939, -0.17237425802330322, 0.038808616613238756, -0.031352760320028296, -0.18345483340061608, 0.3859697689265743, 0.13029132818109265, 0.14883406643353986, -0.10738618383594953, 0.25229890658588644, 0.07801068698823013, 0.10804591198479209, -0.04815911637692183, 0.33168489869693113, 0.16932261795919462, 0.09821853212847867, -0.27579864237786217, 0.09542629576525559, -0.003295760348384433] |
1,803.00348 | Fast prediction and evaluation of eccentric inspirals using
reduced-order models | A large number of theoretically predicted waveforms are required by
matched-filtering searches for the gravitational-wave signals produced by
compact binary coalescence. In order to substantially alleviate the
computational burden in gravitational-wave searches and parameter estimation
without degrading the signal detectability, we propose a novel
reduced-order-model (ROM) approach with applications to adiabatic 3PN-accurate
inspiral waveforms of sources that evolve on either highly or slightly
eccentric orbits. We provide a singular-value decomposition-based reduced-basis
method in the frequency domain to generate reduced-order approximations of any
gravitational waves with acceptable accuracy and precision within the parameter
range of the model. We construct efficient reduced bases comprised of a
relatively small number of the most relevant waveforms over 3-dimensional
parameter-space covered by the template bank (total mass $2.15M_{\odot} \leq M
\leq 215M_{\odot}$, mass ratio $0.01 \leq q \leq 1$, and initial orbital
eccentricity $0 \leq e_{0} \leq 0.95$). The ROM is designed to predict signals
in the frequency band from 10 Hz to 2 kHz for aLIGO and aVirgo design
sensitivity. Beside moderating the data reduction, finer sampling of fiducial
templates improves the accuracy of surrogates. Considerable increase in the
speedup from several hundreds to thousands can be achieved by evaluating
surrogates for low-mass systems especially when combined with
high-eccentricity.
| gr-qc | a large number of theoretically predicted waveforms are required by matchedfiltering searches for the gravitationalwave signals produced by compact binary coalescence in order to substantially alleviate the computational burden in gravitationalwave searches and parameter estimation without degrading the signal detectability we propose a novel reducedordermodel rom approach with applications to adiabatic 3pnaccurate inspiral waveforms of sources that evolve on either highly or slightly eccentric orbits we provide a singularvalue decompositionbased reducedbasis method in the frequency domain to generate reducedorder approximations of any gravitational waves with acceptable accuracy and precision within the parameter range of the model we construct efficient reduced bases comprised of a relatively small number of the most relevant waveforms over 3dimensional parameterspace covered by the template bank total mass 215m_odot leq m leq 215m_odot mass ratio 001 leq q leq 1 and initial orbital eccentricity 0 leq e_0 leq 095 the rom is designed to predict signals in the frequency band from 10 hz to 2 khz for aligo and avirgo design sensitivity beside moderating the data reduction finer sampling of fiducial templates improves the accuracy of surrogates considerable increase in the speedup from several hundreds to thousands can be achieved by evaluating surrogates for lowmass systems especially when combined with higheccentricity | [['a', 'large', 'number', 'of', 'theoretically', 'predicted', 'waveforms', 'are', 'required', 'by', 'matchedfiltering', 'searches', 'for', 'the', 'gravitationalwave', 'signals', 'produced', 'by', 'compact', 'binary', 'coalescence', 'in', 'order', 'to', 'substantially', 'alleviate', 'the', 'computational', 'burden', 'in', 'gravitationalwave', 'searches', 'and', 'parameter', 'estimation', 'without', 'degrading', 'the', 'signal', 'detectability', 'we', 'propose', 'a', 'novel', 'reducedordermodel', 'rom', 'approach', 'with', 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1,803.00349 | Induced-Gravity GUT-Scale Higgs Inflation in Supergravity | Models of induced-gravity inflation are formulated within Supergravity
employing as inflaton the Higgs field which leads to a spontaneous breaking of
a U(1)B-L symmetry at Mgut=2x10^16 GeV. We use a renormalizable superpotential,
fixed by a U(1) R symmetry, and Kahler potentials which exhibit a quadratic
non-minimal coupling to gravity with or without an independent kinetic mixing
in the inflaton sector. In both cases we find inflationary solutions of
Starobinsky type whereas in the latter case, others (more marginal) which
resemble those of linear inflation arise too. In all cases the inflaton mass is
predicted to be of the order of 10^13~GeV. Extending the superpotential of the
model with suitable terms, we show how the MSSM mu parameter can be generated.
Also, non-thermal leptogenesis can be successfully realized, provided that the
gravitino is heavier than about 10 TeV.
| hep-ph astro-ph.CO hep-th | models of inducedgravity inflation are formulated within supergravity employing as inflaton the higgs field which leads to a spontaneous breaking of a u1bl symmetry at mgut2x1016 gev we use a renormalizable superpotential fixed by a u1 r symmetry and kahler potentials which exhibit a quadratic nonminimal coupling to gravity with or without an independent kinetic mixing in the inflaton sector in both cases we find inflationary solutions of starobinsky type whereas in the latter case others more marginal which resemble those of linear inflation arise too in all cases the inflaton mass is predicted to be of the order of 1013gev extending the superpotential of the model with suitable terms we show how the mssm mu parameter can be generated also nonthermal leptogenesis can be successfully realized provided that the gravitino is heavier than about 10 tev | [['models', 'of', 'inducedgravity', 'inflation', 'are', 'formulated', 'within', 'supergravity', 'employing', 'as', 'inflaton', 'the', 'higgs', 'field', 'which', 'leads', 'to', 'a', 'spontaneous', 'breaking', 'of', 'a', 'u1bl', 'symmetry', 'at', 'mgut2x1016', 'gev', 'we', 'use', 'a', 'renormalizable', 'superpotential', 'fixed', 'by', 'a', 'u1', 'r', 'symmetry', 'and', 'kahler', 'potentials', 'which', 'exhibit', 'a', 'quadratic', 'nonminimal', 'coupling', 'to', 'gravity', 'with', 'or', 'without', 'an', 'independent', 'kinetic', 'mixing', 'in', 'the', 'inflaton', 'sector', 'in', 'both', 'cases', 'we', 'find', 'inflationary', 'solutions', 'of', 'starobinsky', 'type', 'whereas', 'in', 'the', 'latter', 'case', 'others', 'more', 'marginal', 'which', 'resemble', 'those', 'of', 'linear', 'inflation', 'arise', 'too', 'in', 'all', 'cases', 'the', 'inflaton', 'mass', 'is', 'predicted', 'to', 'be', 'of', 'the', 'order', 'of', '1013gev', 'extending', 'the', 'superpotential', 'of', 'the', 'model', 'with', 'suitable', 'terms', 'we', 'show', 'how', 'the', 'mssm', 'mu', 'parameter', 'can', 'be', 'generated', 'also', 'nonthermal', 'leptogenesis', 'can', 'be', 'successfully', 'realized', 'provided', 'that', 'the', 'gravitino', 'is', 'heavier', 'than', 'about', '10', 'tev']] | [-0.13176671548332225, 0.22484612500952875, -0.049281739619533145, 0.14857494403943694, -0.10655433956965092, -0.22238374998286256, -0.03755907034107676, 0.31244258645250844, -0.2046864677891683, -0.30022870087294207, 0.05915438435006175, -0.21788367982748347, -0.09569369663436458, 0.13490473367581965, -0.01885108563617584, 0.001362694050733219, -0.009535251058610705, 0.022528946577735683, -0.04024815894081257, -0.2965077956100953, 0.2806035893051611, 0.033580224607516466, 0.1565549419987399, 0.02461155892610002, 0.06005868923795574, -0.09658550409778185, 0.06707706298894824, -0.05071643470281582, -0.10416758993259838, 0.0774348225146669, 0.1777422661076504, 0.05694680425601879, 0.1506903774502194, -0.37424676708520993, -0.25769276982036365, 0.21942913070362172, 0.15991383192629335, 0.12611905577924679, -0.03992642123846642, -0.2959362012522487, 0.08314278903023531, -0.22093727568041205, -0.12768869262585855, -0.09303563488270704, -0.057721552034148346, -0.11286813274080701, -0.3561660220832838, 0.11878377246231299, -0.019940975060522118, 0.014697364192483398, -0.022664952937595767, -0.07638194894431816, -0.1308163108804044, -0.039129115512717846, 0.20434677034791093, 0.027883411513518214, 0.1507299400665729, -0.1932139470214572, -0.10158905612565029, 0.43867115202524204, -0.14798521471728984, -0.18154504836831406, 0.11299207346061901, -0.12173937552356887, -0.15740458548294983, 0.11477179982723422, 0.10634894885793876, 0.1172118927951327, -0.13464860922163902, 0.23537124911800836, 0.004704445018433034, 0.15079580250826172, 0.11291338480163284, 0.020220076189349023, 0.2758877075770322, 0.11085066921077669, 0.06946724722194417, 0.09302545528300792, 0.01680656835464213, -0.13215906934141564, -0.4385526625384741, -0.07691767208469923, -0.10855762914990705, 0.08642847026160727, -0.14584343737624295, -0.11522737900411491, 0.4281519122681964, 0.12376072333084748, 0.22401492995456518, 0.04808052749114508, 0.20208640332224176, 0.12792112324164276, 0.11342999178861432, 0.042706527449327576, 0.3100246824871968, 0.10519225852262667, 0.10179230135434088, -0.20942483253105926, -0.07256554472534095, 0.06474751348501098] |
1,803.0035 | Floquet topological phases in a spin-1/2 double kicked rotor | The double kicked rotor model is a physically realizable extension of the
paradigmatic kicked rotor model in the study of quantum chaos. Even before the
concept of Floquet topological phases became widely known, the discovery of the
Hofstadter butterfly spectrum in the double kicked rotor model [J. Wang and J.
Gong, Phys. Rev. A 77, 031405 (2008)] already suggested the importance of
periodic driving to the generation of unconventional topological matter. In
this work, we explore Floquet topological phases of a double kicked rotor with
an extra spin-1/2 degree of freedom. The latter has been experimentally
engineered in a quantum kicked rotor recently by loading Rb87 condensates into
a periodically pulsed optical lattice. Under the on-resonance condition, the
spin-1/2 double kicked rotor admits fruitful topological phases due to the
interplay between its external and internal degrees of freedom. Each of these
topological phases is characterized by a pair of winding numbers, whose
combination predicts the number of topologically protected 0 and
\pi-quasienergy edge states in the system. Topological phases with arbitrarily
large winding numbers can be easily found by tuning the kicking strength. We
discuss an experimental proposal to realize this model in kicked Rb87
condensates, and suggest to detect its topological invariants by measuring the
mean chiral displacement in momentum space.
| cond-mat.quant-gas nlin.CD quant-ph | the double kicked rotor model is a physically realizable extension of the paradigmatic kicked rotor model in the study of quantum chaos even before the concept of floquet topological phases became widely known the discovery of the hofstadter butterfly spectrum in the double kicked rotor model j wang and j gong phys rev a 77 031405 2008 already suggested the importance of periodic driving to the generation of unconventional topological matter in this work we explore floquet topological phases of a double kicked rotor with an extra spin12 degree of freedom the latter has been experimentally engineered in a quantum kicked rotor recently by loading rb87 condensates into a periodically pulsed optical lattice under the onresonance condition the spin12 double kicked rotor admits fruitful topological phases due to the interplay between its external and internal degrees of freedom each of these topological phases is characterized by a pair of winding numbers whose combination predicts the number of topologically protected 0 and piquasienergy edge states in the system topological phases with arbitrarily large winding numbers can be easily found by tuning the kicking strength we discuss an experimental proposal to realize this model in kicked rb87 condensates and suggest to detect its topological invariants by measuring the mean chiral displacement in momentum space | [['the', 'double', 'kicked', 'rotor', 'model', 'is', 'a', 'physically', 'realizable', 'extension', 'of', 'the', 'paradigmatic', 'kicked', 'rotor', 'model', 'in', 'the', 'study', 'of', 'quantum', 'chaos', 'even', 'before', 'the', 'concept', 'of', 'floquet', 'topological', 'phases', 'became', 'widely', 'known', 'the', 'discovery', 'of', 'the', 'hofstadter', 'butterfly', 'spectrum', 'in', 'the', 'double', 'kicked', 'rotor', 'model', 'j', 'wang', 'and', 'j', 'gong', 'phys', 'rev', 'a', '77', '031405', '2008', 'already', 'suggested', 'the', 'importance', 'of', 'periodic', 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1,803.00351 | The $p$-Gelfand Phillips Property in Spaces of Operators and
Dunford-Pettis like sets | The $p$-Gelfand Phillips property ($1\le p<\infty$) is studied in spaces of
operators. Dunford - Pettis type like sets are studied in Banach spaces. We
discuss Banach spaces $X$ with the property that every $p$-convergent operator
$T:X\to Y$ is weakly compact, for every Banach space $Y$.
| math.FA | the pgelfand phillips property 1le pinfty is studied in spaces of operators dunford pettis type like sets are studied in banach spaces we discuss banach spaces x with the property that every pconvergent operator txto y is weakly compact for every banach space y | [['the', 'pgelfand', 'phillips', 'property', '1le', 'pinfty', 'is', 'studied', 'in', 'spaces', 'of', 'operators', 'dunford', 'pettis', 'type', 'like', 'sets', 'are', 'studied', 'in', 'banach', 'spaces', 'we', 'discuss', 'banach', 'spaces', 'x', 'with', 'the', 'property', 'that', 'every', 'pconvergent', 'operator', 'txto', 'y', 'is', 'weakly', 'compact', 'for', 'every', 'banach', 'space', 'y']] | [-0.15639954062481953, 0.15472958477343932, -0.033316270242510146, 0.19927266701990956, -0.049397397315302904, -0.15451119831481644, -0.06033033929591955, 0.5062253818262455, -0.3498799482057261, 0.04323366588674659, 0.13842487470030265, -0.33789366903866447, -0.08657325076502423, 0.1963581548310643, -0.21433214379777743, -0.0021141366708244003, 0.041908060936907, 0.07659825933880585, -0.1733637553867126, -0.3088933363296958, 0.49852236031099806, -0.14617036447622056, 0.14940290809284115, -0.026896706847257392, 0.14310854662556288, 0.10525382230014996, 0.0031823490767977957, 0.0025235726924472336, -0.18211791989867993, 0.0825608292821968, 0.35696883950122565, 0.1048858787777812, 0.3560099032555902, -0.23082452580782173, -0.17818532912277205, 0.3060750673460059, 0.08255775159138233, -0.23699322145778773, -0.022497163330161468, -0.31096182291417623, 0.06158648164899543, -0.08477810648984688, -0.1520526423227302, -0.16452844657523688, 0.1436342857344899, 0.04270779947901881, -0.36057820188444717, -0.04325057066933707, 0.18061016105808492, 0.03552958549021981, -0.1462648730497634, -0.14125226929697188, -0.1405680463107866, -0.019443641806584457, -0.10843069072769479, 0.1657250163816782, 0.04573994156157295, 0.10414265808757654, -0.11902713464291463, 0.30360439835592756, -0.037557654407655086, -0.2738059470646603, 0.11382986206647962, -0.2796434985776973, -0.23783244817452723, 0.025745378937139067, 0.028322917430899864, 0.19013176973757528, -0.057371701222173006, 0.38427358207314516, -0.14869142856535522, 0.07398649853069422, 0.064516932389504, 0.1800854708403782, -0.010618153363899437, 0.14043769116924945, 0.14923475177005627, 0.0679799429530841, 0.09565211711234825, 0.014069782102989509, -0.3389615239142332, -0.19200235551093206, -0.15984748614692065, 0.10056871130282796, -0.14638721582284847, -0.16412088041042172, 0.2052962587561545, 0.0036473600193858147, 0.1752229840061519, 0.07346680413844973, 0.07898841633699662, 0.05032517845731575, -0.038691387587595126, 0.0928771267969941, 0.10723931293360629, 0.2320018107894548, 0.110355515076324, -0.022996745093963867, -0.02115383877440594, 0.36150495712320474] |
1,803.00352 | Quantum Interference Controls the Electron Spin Dynamics in n-GaAs | Manifestations of quantum interference effects in macroscopic objects are
rare. Weak localization is one of the few examples of such effects showing up
in the electron transport through solid state. Here we show that weak
localization becomes prominent also in optical spectroscopy via detection of
the electron spin dynamics. In particular, we find that weak localization
controls the free electron spin relaxation in semiconductors at low
temperatures and weak magnetic fields by slowing it down by almost a factor of
two in $n$-doped GaAs in the metallic phase. The weak localization effect on
the spin relaxation is suppressed by moderate magnetic fields of about 1 T,
which destroy the interference of electron trajectories, and by increasing the
temperature. The weak localization suppression causes an anomalous decrease of
the longitudinal electron spin relaxation time $T_1$ with magnetic field, in
stark contrast with well-known magnetic field induced increase in $T_1$. This
is consistent with transport measurements which show the same variation of
resistivity with magnetic field. Our discovery opens a vast playground to
explore quantum magneto-transport effects optically in the spin dynamics.
| cond-mat.mes-hall quant-ph | manifestations of quantum interference effects in macroscopic objects are rare weak localization is one of the few examples of such effects showing up in the electron transport through solid state here we show that weak localization becomes prominent also in optical spectroscopy via detection of the electron spin dynamics in particular we find that weak localization controls the free electron spin relaxation in semiconductors at low temperatures and weak magnetic fields by slowing it down by almost a factor of two in ndoped gaas in the metallic phase the weak localization effect on the spin relaxation is suppressed by moderate magnetic fields of about 1 t which destroy the interference of electron trajectories and by increasing the temperature the weak localization suppression causes an anomalous decrease of the longitudinal electron spin relaxation time t_1 with magnetic field in stark contrast with wellknown magnetic field induced increase in t_1 this is consistent with transport measurements which show the same variation of resistivity with magnetic field our discovery opens a vast playground to explore quantum magnetotransport effects optically in the spin dynamics | [['manifestations', 'of', 'quantum', 'interference', 'effects', 'in', 'macroscopic', 'objects', 'are', 'rare', 'weak', 'localization', 'is', 'one', 'of', 'the', 'few', 'examples', 'of', 'such', 'effects', 'showing', 'up', 'in', 'the', 'electron', 'transport', 'through', 'solid', 'state', 'here', 'we', 'show', 'that', 'weak', 'localization', 'becomes', 'prominent', 'also', 'in', 'optical', 'spectroscopy', 'via', 'detection', 'of', 'the', 'electron', 'spin', 'dynamics', 'in', 'particular', 'we', 'find', 'that', 'weak', 'localization', 'controls', 'the', 'free', 'electron', 'spin', 'relaxation', 'in', 'semiconductors', 'at', 'low', 'temperatures', 'and', 'weak', 'magnetic', 'fields', 'by', 'slowing', 'it', 'down', 'by', 'almost', 'a', 'factor', 'of', 'two', 'in', 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1,803.00353 | Joint Training for Neural Machine Translation Models with Monolingual
Data | Monolingual data have been demonstrated to be helpful in improving
translation quality of both statistical machine translation (SMT) systems and
neural machine translation (NMT) systems, especially in resource-poor or domain
adaptation tasks where parallel data are not rich enough. In this paper, we
propose a novel approach to better leveraging monolingual data for neural
machine translation by jointly learning source-to-target and target-to-source
NMT models for a language pair with a joint EM optimization method. The
training process starts with two initial NMT models pre-trained on parallel
data for each direction, and these two models are iteratively updated by
incrementally decreasing translation losses on training data. In each iteration
step, both NMT models are first used to translate monolingual data from one
language to the other, forming pseudo-training data of the other NMT model.
Then two new NMT models are learnt from parallel data together with the pseudo
training data. Both NMT models are expected to be improved and better
pseudo-training data can be generated in next step. Experiment results on
Chinese-English and English-German translation tasks show that our approach can
simultaneously improve translation quality of source-to-target and
target-to-source models, significantly outperforming strong baseline systems
which are enhanced with monolingual data for model training including
back-translation.
| cs.CL | monolingual data have been demonstrated to be helpful in improving translation quality of both statistical machine translation smt systems and neural machine translation nmt systems especially in resourcepoor or domain adaptation tasks where parallel data are not rich enough in this paper we propose a novel approach to better leveraging monolingual data for neural machine translation by jointly learning sourcetotarget and targettosource nmt models for a language pair with a joint em optimization method the training process starts with two initial nmt models pretrained on parallel data for each direction and these two models are iteratively updated by incrementally decreasing translation losses on training data in each iteration step both nmt models are first used to translate monolingual data from one language to the other forming pseudotraining data of the other nmt model then two new nmt models are learnt from parallel data together with the pseudo training data both nmt models are expected to be improved and better pseudotraining data can be generated in next step experiment results on chineseenglish and englishgerman translation tasks show that our approach can simultaneously improve translation quality of sourcetotarget and targettosource models significantly outperforming strong baseline systems which are enhanced with monolingual data for model training including backtranslation | [['monolingual', 'data', 'have', 'been', 'demonstrated', 'to', 'be', 'helpful', 'in', 'improving', 'translation', 'quality', 'of', 'both', 'statistical', 'machine', 'translation', 'smt', 'systems', 'and', 'neural', 'machine', 'translation', 'nmt', 'systems', 'especially', 'in', 'resourcepoor', 'or', 'domain', 'adaptation', 'tasks', 'where', 'parallel', 'data', 'are', 'not', 'rich', 'enough', 'in', 'this', 'paper', 'we', 'propose', 'a', 'novel', 'approach', 'to', 'better', 'leveraging', 'monolingual', 'data', 'for', 'neural', 'machine', 'translation', 'by', 'jointly', 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1,803.00354 | Poisson cylinders in hyperbolic space | We consider the Poisson cylinder model in $d$-dimensional hyperbolic space.
We show that in contrast to the Euclidean case, there is a phase transition in
the connectivity of the collection of cylinders as the intensity parameter
varies. We also show that for any non-trivial intensity, the diameter of the
collection of cylinders is infinite.
| math.PR | we consider the poisson cylinder model in ddimensional hyperbolic space we show that in contrast to the euclidean case there is a phase transition in the connectivity of the collection of cylinders as the intensity parameter varies we also show that for any nontrivial intensity the diameter of the collection of cylinders is infinite | [['we', 'consider', 'the', 'poisson', 'cylinder', 'model', 'in', 'ddimensional', 'hyperbolic', 'space', 'we', 'show', 'that', 'in', 'contrast', 'to', 'the', 'euclidean', 'case', 'there', 'is', 'a', 'phase', 'transition', 'in', 'the', 'connectivity', 'of', 'the', 'collection', 'of', 'cylinders', 'as', 'the', 'intensity', 'parameter', 'varies', 'we', 'also', 'show', 'that', 'for', 'any', 'nontrivial', 'intensity', 'the', 'diameter', 'of', 'the', 'collection', 'of', 'cylinders', 'is', 'infinite']] | [-0.18611559689182927, 0.16798201822503298, -0.019127301457855437, 0.015662005365205307, -0.020243555462608736, -0.04685299439114277, 0.01101526954314775, 0.4247072513680905, -0.2541161112797757, -0.2058505229651928, 0.08145282203029772, -0.3132697992130286, -0.1761327781886966, 0.17501355948668249, -0.08754609533827062, 0.01748307618416018, 0.010975047721768971, 0.10004936372516332, -0.06528656080330687, -0.21080047359983264, 0.36630696817128744, -0.0477406513635759, 0.26703713301362264, 0.0348761440427215, 0.08824690700405174, 0.03174262755136523, 0.02528054947119758, 0.10273873843026296, -0.18481824035822042, 0.0676365722729652, 0.21548967884370573, 0.06084925226039357, 0.18110165297898842, -0.3725987870798067, -0.23566358252436556, 0.16333809161679474, 0.13017434145634374, 0.05382204421416477, -0.01792230034522988, -0.22419501933769356, 0.05626984898225163, -0.11255795794918581, -0.1816378521422545, 0.006316974759101868, 0.05512788460624439, 0.030407089964245206, -0.2520629694831937, 0.030983112825197168, 0.10850983031990903, 0.024876838463738008, -0.06154847679728711, -0.04189743234396533, -0.024852991656020836, 0.1332076618672107, 0.03944287114104049, 0.03277264734626644, 0.07420132461831802, -0.08499207754653913, -0.07972993348138752, 0.37720313292272667, -0.0785911597173523, -0.24215849426885447, 0.14445703193821288, -0.2188199553983631, -0.10984276229929593, 0.13118749326612386, 0.1833656499231303, 0.10645244039457154, -0.022896968311181775, 0.16296033164555276, -0.1180130766739172, 0.1882810421563961, 0.10053923879577606, -0.024455399269721022, 0.1435924235869337, 0.19146244817723831, 0.14181972596863354, 0.22042313514760248, -0.1286670852849191, -0.12085403278211339, -0.33300682474617604, -0.2010792464500776, -0.21641579922719825, 0.059920831583440304, -0.15913000072490563, -0.2431470268509454, 0.33948927606386997, 0.12287172695828809, 0.25006451253365314, 0.07013474491045431, 0.2567882507573813, 0.11013871855943257, 0.028124789474532008, 0.07968372377325539, 0.22092304563287785, 0.09778198401478154, 0.036525418533495176, -0.1763904390046028, -0.009762548358628043, 0.05984031845367065] |
1,803.00355 | Learning-based Dynamic Pinning of Parallelized Applications in Many-Core
Systems | Motivated by the need for adaptive, secure and responsive scheduling in a
great range of computing applications, including human-centered and
time-critical applications, this paper proposes a scheduling framework that
seamlessly adds resource-awareness to any parallel application. In particular,
we introduce a learning-based framework for dynamic placement of parallel
threads to Non-Uniform Memory Access (NUMA) architectures. Decisions are taken
independently by each thread in a decentralized fashion that significantly
reduces computational complexity. The advantage of the proposed learning scheme
is the ability to easily incorporate any multi-objective criterion and easily
adapt to performance variations during runtime. Under the multi-objective
criterion of maximizing total completed instructions per second (i.e., both
computational and memory-access instructions), we provide analytical guarantees
with respect to the expected performance of the parallel application. We also
compare the performance of the proposed scheme with the Linux operating system
scheduler in an extensive set of applications, including both computationally
and memory intensive ones. We have observed that performance improvement could
be significant especially under limited availability of resources and under
irregular memory-access patterns.
| cs.DC | motivated by the need for adaptive secure and responsive scheduling in a great range of computing applications including humancentered and timecritical applications this paper proposes a scheduling framework that seamlessly adds resourceawareness to any parallel application in particular we introduce a learningbased framework for dynamic placement of parallel threads to nonuniform memory access numa architectures decisions are taken independently by each thread in a decentralized fashion that significantly reduces computational complexity the advantage of the proposed learning scheme is the ability to easily incorporate any multiobjective criterion and easily adapt to performance variations during runtime under the multiobjective criterion of maximizing total completed instructions per second ie both computational and memoryaccess instructions we provide analytical guarantees with respect to the expected performance of the parallel application we also compare the performance of the proposed scheme with the linux operating system scheduler in an extensive set of applications including both computationally and memory intensive ones we have observed that performance improvement could be significant especially under limited availability of resources and under irregular memoryaccess patterns | [['motivated', 'by', 'the', 'need', 'for', 'adaptive', 'secure', 'and', 'responsive', 'scheduling', 'in', 'a', 'great', 'range', 'of', 'computing', 'applications', 'including', 'humancentered', 'and', 'timecritical', 'applications', 'this', 'paper', 'proposes', 'a', 'scheduling', 'framework', 'that', 'seamlessly', 'adds', 'resourceawareness', 'to', 'any', 'parallel', 'application', 'in', 'particular', 'we', 'introduce', 'a', 'learningbased', 'framework', 'for', 'dynamic', 'placement', 'of', 'parallel', 'threads', 'to', 'nonuniform', 'memory', 'access', 'numa', 'architectures', 'decisions', 'are', 'taken', 'independently', 'by', 'each', 'thread', 'in', 'a', 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1,803.00356 | Localizing Faults in Cloud Systems | By leveraging large clusters of commodity hardware, the Cloud offers great
opportunities to optimize the operative costs of software systems, but impacts
significantly on the reliability of software applications. The lack of control
of applications over Cloud execution environments largely limits the
applicability of state-of-the-art approaches that address reliability issues by
relying on heavyweight training with injected faults. In this paper, we propose
\emph(LOUD}, a lightweight fault localization approach that relies on positive
training only, and can thus operate within the constraints of Cloud systems.
\emph{LOUD} relies on machine learning and graph theory. It trains machine
learning models with correct executions only, and compensates the inaccuracy
that derives from training with positive samples, by elaborating the outcome of
machine learning techniques with graph theory algorithms. The experimental
results reported in this paper confirm that \emph{LOUD} can localize faults
with high precision, by relying only on a lightweight positive training.
| cs.SE cs.DC | by leveraging large clusters of commodity hardware the cloud offers great opportunities to optimize the operative costs of software systems but impacts significantly on the reliability of software applications the lack of control of applications over cloud execution environments largely limits the applicability of stateoftheart approaches that address reliability issues by relying on heavyweight training with injected faults in this paper we propose emphloud a lightweight fault localization approach that relies on positive training only and can thus operate within the constraints of cloud systems emphloud relies on machine learning and graph theory it trains machine learning models with correct executions only and compensates the inaccuracy that derives from training with positive samples by elaborating the outcome of machine learning techniques with graph theory algorithms the experimental results reported in this paper confirm that emphloud can localize faults with high precision by relying only on a lightweight positive training | [['by', 'leveraging', 'large', 'clusters', 'of', 'commodity', 'hardware', 'the', 'cloud', 'offers', 'great', 'opportunities', 'to', 'optimize', 'the', 'operative', 'costs', 'of', 'software', 'systems', 'but', 'impacts', 'significantly', 'on', 'the', 'reliability', 'of', 'software', 'applications', 'the', 'lack', 'of', 'control', 'of', 'applications', 'over', 'cloud', 'execution', 'environments', 'largely', 'limits', 'the', 'applicability', 'of', 'stateoftheart', 'approaches', 'that', 'address', 'reliability', 'issues', 'by', 'relying', 'on', 'heavyweight', 'training', 'with', 'injected', 'faults', 'in', 'this', 'paper', 'we', 'propose', 'emphloud', 'a', 'lightweight', 'fault', 'localization', 'approach', 'that', 'relies', 'on', 'positive', 'training', 'only', 'and', 'can', 'thus', 'operate', 'within', 'the', 'constraints', 'of', 'cloud', 'systems', 'emphloud', 'relies', 'on', 'machine', 'learning', 'and', 'graph', 'theory', 'it', 'trains', 'machine', 'learning', 'models', 'with', 'correct', 'executions', 'only', 'and', 'compensates', 'the', 'inaccuracy', 'that', 'derives', 'from', 'training', 'with', 'positive', 'samples', 'by', 'elaborating', 'the', 'outcome', 'of', 'machine', 'learning', 'techniques', 'with', 'graph', 'theory', 'algorithms', 'the', 'experimental', 'results', 'reported', 'in', 'this', 'paper', 'confirm', 'that', 'emphloud', 'can', 'localize', 'faults', 'with', 'high', 'precision', 'by', 'relying', 'only', 'on', 'a', 'lightweight', 'positive', 'training']] | [-0.12518931789036164, 0.04546764112333923, -0.04256181683135063, 0.00034971368161573903, -0.10527413957689782, -0.1830462752560141, 0.11182870290823431, 0.3871405797966775, -0.22887824338879562, -0.363765800434271, 0.10716222078248784, -0.22040387006764045, -0.14962732085595595, 0.23270062316402843, -0.15769822426271568, 0.10248843572983805, 0.15927137586594037, -0.008776285948119307, -0.05966191899754895, -0.31425975231436587, 0.3247616317188805, 0.06920411394934026, 0.3441288934508026, 0.06673987933915833, 0.12035542163347838, 0.01250514874997355, -0.015553101359697796, -0.0014730509176800314, -0.04545374418512743, 0.20790669596605565, 0.2954027108084022, 0.21644282964489503, 0.3513503247409459, -0.45264728197315396, -0.23425786520648223, 0.07547150286002047, 0.134368302244318, 0.08207209867694033, -0.04986093874361316, -0.315570860388595, 0.12252290830509925, -0.1873225489203137, -0.027075340171288324, -0.1312077477286826, -0.021855559968858358, 0.05162242501849096, -0.23043189525304225, 0.0098550919405866, 0.05909439565335719, 0.07698317224647375, -0.02797587425135476, -0.09437769387329885, 0.04904557440129902, 0.11010773578227416, 0.042898638622410244, 0.011749560179832648, 0.19989872238467504, -0.15756957154664766, -0.1818477756331281, 0.3706552423286758, -0.012542024311053272, -0.15351512196771458, 0.23094519684653755, -0.02914819240901344, -0.17511598550520788, 0.10768419019127852, 0.24299501663936465, 0.07885525096832906, -0.15627299291675523, 0.10126018613434691, 0.06068059320142805, 0.21327524567835482, 0.01920110811854419, 0.0017399085316832034, 0.17988474476276178, 0.23906825909441048, 0.06190833439362929, 0.12092713795246043, -0.0770939548715524, -0.05893355081031324, -0.21716312730947396, -0.08399452967256707, -0.2117763940563688, -0.01597830951963895, -0.07956320557701511, -0.1615788343756291, 0.34553565274949044, 0.2561159421527296, 0.15682129209725212, 0.12188612707521791, 0.4008008280406462, 0.047169414239516795, 0.12301153035821931, 0.13465568310762413, 0.1937079613320467, 0.01487333788817761, 0.1379106106078752, -0.17808518017526567, 0.15770723708692763, -0.006560239584603966] |
1,803.00357 | Cross-lingual and Multilingual Speech Emotion Recognition on English and
French | Research on multilingual speech emotion recognition faces the problem that
most available speech corpora differ from each other in important ways, such as
annotation methods or interaction scenarios. These inconsistencies complicate
building a multilingual system. We present results for cross-lingual and
multilingual emotion recognition on English and French speech data with similar
characteristics in terms of interaction (human-human conversations). Further,
we explore the possibility of fine-tuning a pre-trained cross-lingual model
with only a small number of samples from the target language, which is of great
interest for low-resource languages. To gain more insights in what is learned
by the deployed convolutional neural network, we perform an analysis on the
attention mechanism inside the network.
| cs.CL | research on multilingual speech emotion recognition faces the problem that most available speech corpora differ from each other in important ways such as annotation methods or interaction scenarios these inconsistencies complicate building a multilingual system we present results for crosslingual and multilingual emotion recognition on english and french speech data with similar characteristics in terms of interaction humanhuman conversations further we explore the possibility of finetuning a pretrained crosslingual model with only a small number of samples from the target language which is of great interest for lowresource languages to gain more insights in what is learned by the deployed convolutional neural network we perform an analysis on the attention mechanism inside the network | [['research', 'on', 'multilingual', 'speech', 'emotion', 'recognition', 'faces', 'the', 'problem', 'that', 'most', 'available', 'speech', 'corpora', 'differ', 'from', 'each', 'other', 'in', 'important', 'ways', 'such', 'as', 'annotation', 'methods', 'or', 'interaction', 'scenarios', 'these', 'inconsistencies', 'complicate', 'building', 'a', 'multilingual', 'system', 'we', 'present', 'results', 'for', 'crosslingual', 'and', 'multilingual', 'emotion', 'recognition', 'on', 'english', 'and', 'french', 'speech', 'data', 'with', 'similar', 'characteristics', 'in', 'terms', 'of', 'interaction', 'humanhuman', 'conversations', 'further', 'we', 'explore', 'the', 'possibility', 'of', 'finetuning', 'a', 'pretrained', 'crosslingual', 'model', 'with', 'only', 'a', 'small', 'number', 'of', 'samples', 'from', 'the', 'target', 'language', 'which', 'is', 'of', 'great', 'interest', 'for', 'lowresource', 'languages', 'to', 'gain', 'more', 'insights', 'in', 'what', 'is', 'learned', 'by', 'the', 'deployed', 'convolutional', 'neural', 'network', 'we', 'perform', 'an', 'analysis', 'on', 'the', 'attention', 'mechanism', 'inside', 'the', 'network']] | [-0.05308474024671963, 0.01801422617529425, -0.0049992659937982496, 0.09080221453526367, -0.16842276235356143, -0.18820957527005752, 0.04375603267506353, 0.4646867429184025, -0.24475292446961822, -0.3381076247891893, 0.01935775898266257, -0.3200007291968193, -0.17968917093362266, 0.2324435406225619, -0.13860128500923646, 0.03593878034326624, 0.19742816551016612, 0.10356958265816629, -0.029291740126433995, -0.27744608182917563, 0.32672216121532155, 0.014577411964797136, 0.3811712512060216, 0.03712180267055437, 0.07051192847460411, -0.06862800589378662, -0.034558842648964444, -0.11130287034821026, -0.038261213008298545, 0.2108870734156338, 0.4054898262981799, 0.2511413892967986, 0.3126896466547215, -0.407099638297631, -0.21969394711777568, 0.06170737896964215, 0.14508918843746774, 0.1411650034286523, -0.0537981240569232, -0.4322561353869867, 0.03231406303861979, -0.214604255441564, 0.10296219167822417, -0.11360019991958611, 0.018719552889498964, -0.046828424762280885, -0.23091287124113655, 0.02235748857186225, 0.1393071320888243, 0.1506809246922402, -0.038258351299813705, -0.13180518583006537, 0.017990630316106898, 0.22094093989621716, 0.11021739507008246, 0.06018893818550727, 0.12973485741633595, -0.23635089323904954, -0.14034694376842757, 0.3998010086647251, -0.068023945742058, -0.2527457195040035, 0.2271623136251021, -0.01620418297355635, -0.19251213354883684, 0.030050206471953476, 0.2919499412129976, 0.07237476040200706, -0.2017118423490932, 0.00534053749237373, -0.07330800184424509, 0.2572760765293711, 0.09547057494586497, -0.019364893508936165, 0.21058487684645674, 0.3135320838017945, -0.043069478818787296, 0.14757568399644488, -0.0849800571868719, -0.021782105898876723, -0.1835573952473504, -0.06472350813840565, -0.17066917076437293, -0.043581614690514185, -0.11033520100841486, -0.10686484023340438, 0.397687532628576, 0.24951819433389524, 0.14016642538307791, 0.07301336351328676, 0.32104690838605165, -0.04798522966264404, 0.14915453652818605, 0.0559438490717296, 0.13228221377153604, -0.0782674391909192, 0.1764263957534639, -0.15240196890214033, 0.10058451854734142, 0.032332233261529425] |
1,803.00358 | Could a Hexagonal Sunspot Have Been Observed During the Maunder Minimum? | The Maunder Minimum was the period between 1645 and 1715 whose main
characteristic was abnormally low and prolonged solar activity. However, some
authors have doubted this low level of solar activity during that period by
questioning the accuracy and objectivity of the observers. This work presents a
particular case of a sunspot observed during the Maunder Minimum with an
unusual shape of its umbra and penumbra: a hexagon. This sunspot was observed
by Cassini in November 1676, just at the core of the Maunder Minimum. This
historical observation is compared with a twin case that occurred recently in
May 2016. The conclusion reached is that Cassini's record is another example of
the good quality observations made during the Maunder Minimum, showing the
meticulousness of the astronomers of that epoch. This sunspot observation made
by Cassini does not support the conclusions of Zolotova and Ponyavin
(Astrophys. J. 800, 42, 2015) that professional astronomers in the 17th century
only registered round sunspots. Finally, a discussion is given of the
importance of this kind of unusual sunspot record for a better assessment of
the true level of solar activity in the Maunder Minimum.
| astro-ph.SR physics.hist-ph | the maunder minimum was the period between 1645 and 1715 whose main characteristic was abnormally low and prolonged solar activity however some authors have doubted this low level of solar activity during that period by questioning the accuracy and objectivity of the observers this work presents a particular case of a sunspot observed during the maunder minimum with an unusual shape of its umbra and penumbra a hexagon this sunspot was observed by cassini in november 1676 just at the core of the maunder minimum this historical observation is compared with a twin case that occurred recently in may 2016 the conclusion reached is that cassinis record is another example of the good quality observations made during the maunder minimum showing the meticulousness of the astronomers of that epoch this sunspot observation made by cassini does not support the conclusions of zolotova and ponyavin astrophys j 800 42 2015 that professional astronomers in the 17th century only registered round sunspots finally a discussion is given of the importance of this kind of unusual sunspot record for a better assessment of the true level of solar activity in the maunder minimum | [['the', 'maunder', 'minimum', 'was', 'the', 'period', 'between', '1645', 'and', '1715', 'whose', 'main', 'characteristic', 'was', 'abnormally', 'low', 'and', 'prolonged', 'solar', 'activity', 'however', 'some', 'authors', 'have', 'doubted', 'this', 'low', 'level', 'of', 'solar', 'activity', 'during', 'that', 'period', 'by', 'questioning', 'the', 'accuracy', 'and', 'objectivity', 'of', 'the', 'observers', 'this', 'work', 'presents', 'a', 'particular', 'case', 'of', 'a', 'sunspot', 'observed', 'during', 'the', 'maunder', 'minimum', 'with', 'an', 'unusual', 'shape', 'of', 'its', 'umbra', 'and', 'penumbra', 'a', 'hexagon', 'this', 'sunspot', 'was', 'observed', 'by', 'cassini', 'in', 'november', '1676', 'just', 'at', 'the', 'core', 'of', 'the', 'maunder', 'minimum', 'this', 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1,803.00359 | A correlation-hole approach to the electric double layer with
counter-ions only | We study a classical system of identically charged counter-ions near a planar
wall carrying a uniform surface charge density. The equilibrium statistical
mechanics of the system depends on a single dimensionless coupling parameter. A
new self-consistent theory of the correlation-hole type is proposed which leads
to a modified Poisson-Boltzmann integral equation for the density profile,
convenient for analytical progress and straightforward to solve numerically.
The exact density profiles are recovered in the limits of weak and strong
couplings. In contrast to previous theoretical attempts of the test-charge
family, the density profiles fulfill the contact-value theorem at all values of
the coupling constant, and exhibit the mean-field decay at asymptotically large
distances from the wall, as expected. We furthermore show that the density
corrections at large couplings exhibit the proper dependence on coupling
parameter and distance to the charged wall. The numerical results for
intermediate values of the coupling provide accurate density profiles which are
in good agreement with those obtained by Monte-Carlo simulations. The crossover
to mean-field behavior at large distance is studied in detail.
| cond-mat.soft | we study a classical system of identically charged counterions near a planar wall carrying a uniform surface charge density the equilibrium statistical mechanics of the system depends on a single dimensionless coupling parameter a new selfconsistent theory of the correlationhole type is proposed which leads to a modified poissonboltzmann integral equation for the density profile convenient for analytical progress and straightforward to solve numerically the exact density profiles are recovered in the limits of weak and strong couplings in contrast to previous theoretical attempts of the testcharge family the density profiles fulfill the contactvalue theorem at all values of the coupling constant and exhibit the meanfield decay at asymptotically large distances from the wall as expected we furthermore show that the density corrections at large couplings exhibit the proper dependence on coupling parameter and distance to the charged wall the numerical results for intermediate values of the coupling provide accurate density profiles which are in good agreement with those obtained by montecarlo simulations the crossover to meanfield behavior at large distance is studied in detail | [['we', 'study', 'a', 'classical', 'system', 'of', 'identically', 'charged', 'counterions', 'near', 'a', 'planar', 'wall', 'carrying', 'a', 'uniform', 'surface', 'charge', 'density', 'the', 'equilibrium', 'statistical', 'mechanics', 'of', 'the', 'system', 'depends', 'on', 'a', 'single', 'dimensionless', 'coupling', 'parameter', 'a', 'new', 'selfconsistent', 'theory', 'of', 'the', 'correlationhole', 'type', 'is', 'proposed', 'which', 'leads', 'to', 'a', 'modified', 'poissonboltzmann', 'integral', 'equation', 'for', 'the', 'density', 'profile', 'convenient', 'for', 'analytical', 'progress', 'and', 'straightforward', 'to', 'solve', 'numerically', 'the', 'exact', 'density', 'profiles', 'are', 'recovered', 'in', 'the', 'limits', 'of', 'weak', 'and', 'strong', 'couplings', 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1,803.0036 | Computing Bayes factors to measure evidence from experiments: An
extension of the BIC approximation | Bayesian inference affords scientists with powerful tools for testing
hypotheses. One of these tools is the Bayes factor, which indexes the extent to
which support for one hypothesis over another is updated after seeing the data.
Part of the hesitance to adopt this approach may stem from an unfamiliarity
with the computational tools necessary for computing Bayes factors. Previous
work has shown that closed form approximations of Bayes factors are relatively
easy to obtain for between- groups methods, such as an analysis of variance or
t-test. In this paper, I extend this approximation to develop a formula for the
Bayes factor that directly uses information that is typically reported for
ANOVAs (e.g., the F ratio and degrees of freedom). After giving two examples of
its use, I report the results of simulations which show that even with minimal
input, this approximate Bayes factor produces similar results to existing
software solutions.
| stat.CO stat.ME | bayesian inference affords scientists with powerful tools for testing hypotheses one of these tools is the bayes factor which indexes the extent to which support for one hypothesis over another is updated after seeing the data part of the hesitance to adopt this approach may stem from an unfamiliarity with the computational tools necessary for computing bayes factors previous work has shown that closed form approximations of bayes factors are relatively easy to obtain for between groups methods such as an analysis of variance or ttest in this paper i extend this approximation to develop a formula for the bayes factor that directly uses information that is typically reported for anovas eg the f ratio and degrees of freedom after giving two examples of its use i report the results of simulations which show that even with minimal input this approximate bayes factor produces similar results to existing software solutions | [['bayesian', 'inference', 'affords', 'scientists', 'with', 'powerful', 'tools', 'for', 'testing', 'hypotheses', 'one', 'of', 'these', 'tools', 'is', 'the', 'bayes', 'factor', 'which', 'indexes', 'the', 'extent', 'to', 'which', 'support', 'for', 'one', 'hypothesis', 'over', 'another', 'is', 'updated', 'after', 'seeing', 'the', 'data', 'part', 'of', 'the', 'hesitance', 'to', 'adopt', 'this', 'approach', 'may', 'stem', 'from', 'an', 'unfamiliarity', 'with', 'the', 'computational', 'tools', 'necessary', 'for', 'computing', 'bayes', 'factors', 'previous', 'work', 'has', 'shown', 'that', 'closed', 'form', 'approximations', 'of', 'bayes', 'factors', 'are', 'relatively', 'easy', 'to', 'obtain', 'for', 'between', 'groups', 'methods', 'such', 'as', 'an', 'analysis', 'of', 'variance', 'or', 'ttest', 'in', 'this', 'paper', 'i', 'extend', 'this', 'approximation', 'to', 'develop', 'a', 'formula', 'for', 'the', 'bayes', 'factor', 'that', 'directly', 'uses', 'information', 'that', 'is', 'typically', 'reported', 'for', 'anovas', 'eg', 'the', 'f', 'ratio', 'and', 'degrees', 'of', 'freedom', 'after', 'giving', 'two', 'examples', 'of', 'its', 'use', 'i', 'report', 'the', 'results', 'of', 'simulations', 'which', 'show', 'that', 'even', 'with', 'minimal', 'input', 'this', 'approximate', 'bayes', 'factor', 'produces', 'similar', 'results', 'to', 'existing', 'software', 'solutions']] | [-0.03732285452618574, 0.028654451659143283, -0.1128990776774784, 0.07954436895049488, -0.09258805697473386, -0.14508163050748407, 0.0833571943702797, 0.3798334589259078, -0.2506336032878608, -0.33021766488750776, 0.10507591934797043, -0.24131301320157944, -0.14628493637312204, 0.21816549209722627, -0.06521398780867457, 0.030969915472669526, 0.08613900399689252, 0.04005412786112477, -0.06756958858886113, -0.27399700299836693, 0.31041481039176383, 0.08114783575137456, 0.2833985544166838, 0.006212275908328593, 0.0852997945722503, -0.004527589287608862, -0.04736939817356567, 0.004959994756306211, -0.14632515918793312, 0.18418899009625117, 0.2841268514965971, 0.20676404690059522, 0.33121802486479285, -0.38639829313382507, -0.185510087441653, 0.07344035214162431, 0.13477644189910887, 0.09411329265140618, -0.013190940315738165, -0.2202117710808913, 0.07997057917217414, -0.1701988566290432, -0.13039920829236507, -0.14885801713370408, -0.007429587397103509, -0.011291392678394914, -0.32942125127495575, 0.06690224004443734, 0.07699032981569569, 0.0696532123722136, -0.011250846821349114, -0.16582312247095007, 0.06778491850631932, 0.13123326239408925, 0.098017854563271, 0.03041354947956279, 0.10109547660065193, -0.1290228010326003, -0.14499547466480484, 0.33945896190280717, -0.022668295165834327, -0.20645117326484372, 0.18063797088960806, -0.07753756680060178, -0.16864196289641162, 0.11308934648210804, 0.1492167241529872, 0.06930700766388327, -0.16371957022774344, 0.04446194961628256, -0.021959683966512482, 0.161693243002519, 0.02912923598351578, -0.02392511498183012, 0.13701474701830496, 0.1366721891115109, 0.04877528012730181, 0.11584091081283987, -0.07773187605353693, -0.06386292877141386, -0.2756127444002777, -0.15771380807583532, -0.1430494087333015, 0.055981917198902616, -0.10915255907602842, -0.2004021399318784, 0.35109522566664964, 0.16593760300117236, 0.15792101595550775, 0.10609257710088665, 0.3152305415645242, 0.10208646383369341, 0.09625648822945854, 0.1164777839781406, 0.2250331475251975, 0.11401430016383529, 0.02433293250311787, -0.11328537806713333, 0.09412478930937747, 0.032279721711141365] |
1,803.00361 | Conjugacy in Patience Sorting monoids | The cyclic shift graph of a monoid is the graph whose vertices are the
elements of the monoid and whose edges connect elements that are cyclic shift
related. The Patience Sorting algorithm admits two generalizations to words,
from which two kinds of monoids arise, the $\mathrm{rps}$ monoid and the
$\mathrm{lps}$ (also known as Bell) monoid. Like other monoids arising from
combinatorial objects such as the plactic and the sylvester, the connected
components of the cyclic shift graph of the $\mathrm{rps}$ monoid consists of
elements that have the same number of each of its composing symbols. In this
paper, with the aid of the computational tool SageMath, we study the diameter
of the connected components from the cyclic shift graph of the $\mathrm{rps}$
monoid.
Within the theory of monoids, the cyclic shift relation, among other
relations, generalizes the relation of conjugacy for groups. We examine several
of these relations for both the $\mathrm{rps}$ and the $\mathrm{lps}$ monoids.
| math.CO math.GR | the cyclic shift graph of a monoid is the graph whose vertices are the elements of the monoid and whose edges connect elements that are cyclic shift related the patience sorting algorithm admits two generalizations to words from which two kinds of monoids arise the mathrmrps monoid and the mathrmlps also known as bell monoid like other monoids arising from combinatorial objects such as the plactic and the sylvester the connected components of the cyclic shift graph of the mathrmrps monoid consists of elements that have the same number of each of its composing symbols in this paper with the aid of the computational tool sagemath we study the diameter of the connected components from the cyclic shift graph of the mathrmrps monoid within the theory of monoids the cyclic shift relation among other relations generalizes the relation of conjugacy for groups we examine several of these relations for both the mathrmrps and the mathrmlps monoids | [['the', 'cyclic', 'shift', 'graph', 'of', 'a', 'monoid', 'is', 'the', 'graph', 'whose', 'vertices', 'are', 'the', 'elements', 'of', 'the', 'monoid', 'and', 'whose', 'edges', 'connect', 'elements', 'that', 'are', 'cyclic', 'shift', 'related', 'the', 'patience', 'sorting', 'algorithm', 'admits', 'two', 'generalizations', 'to', 'words', 'from', 'which', 'two', 'kinds', 'of', 'monoids', 'arise', 'the', 'mathrmrps', 'monoid', 'and', 'the', 'mathrmlps', 'also', 'known', 'as', 'bell', 'monoid', 'like', 'other', 'monoids', 'arising', 'from', 'combinatorial', 'objects', 'such', 'as', 'the', 'plactic', 'and', 'the', 'sylvester', 'the', 'connected', 'components', 'of', 'the', 'cyclic', 'shift', 'graph', 'of', 'the', 'mathrmrps', 'monoid', 'consists', 'of', 'elements', 'that', 'have', 'the', 'same', 'number', 'of', 'each', 'of', 'its', 'composing', 'symbols', 'in', 'this', 'paper', 'with', 'the', 'aid', 'of', 'the', 'computational', 'tool', 'sagemath', 'we', 'study', 'the', 'diameter', 'of', 'the', 'connected', 'components', 'from', 'the', 'cyclic', 'shift', 'graph', 'of', 'the', 'mathrmrps', 'monoid', 'within', 'the', 'theory', 'of', 'monoids', 'the', 'cyclic', 'shift', 'relation', 'among', 'other', 'relations', 'generalizes', 'the', 'relation', 'of', 'conjugacy', 'for', 'groups', 'we', 'examine', 'several', 'of', 'these', 'relations', 'for', 'both', 'the', 'mathrmrps', 'and', 'the', 'mathrmlps', 'monoids']] | [-0.14277228383444152, 0.14800390878135894, -0.036275488028133455, 0.04200468046587662, -0.11570511027783542, -0.08250508415694167, 0.014117297273455792, 0.3410254325097814, -0.42308387017404236, -0.2569097212558104, 0.10185541791535986, -0.3274956661512374, -0.16196432104334235, 0.181596183968336, -0.0902404741598777, -0.03804577055558042, 0.04506681354447304, 0.12520163342985627, -0.0756011211604629, -0.19458984087414846, 0.41497633187402666, -0.027604822027073664, 0.22129560149631572, -0.018837805843440355, 0.06983738461231159, -0.004500080568280506, -0.09547282642588116, 0.0377041870220141, -0.10292605615824585, 0.11961535143653874, 0.2869393982223005, 0.13959332094671412, 0.16261349083099239, -0.40584448614919727, -0.1237612349017487, 0.17887433246307244, 0.09737280200465352, 0.03638315857418317, -0.02790637868275116, -0.2366703575047628, 0.09223064438851139, -0.1964619274601921, -0.06557852218483949, 0.031970026735034955, 0.07362616532966011, 0.08277777359705998, -0.2031088458811078, -0.0324311558500782, 0.13484389756431248, 0.08093603707505269, -0.00828759677559984, -0.15305447490135957, -0.030466376474223934, 0.19294253424076097, -0.008080760199975754, -0.04274631701802908, 0.07215868451559988, -0.0816713847180635, -0.17760726300902763, 0.42425199425718807, 0.012441049656504161, -0.14275538305413316, 0.14175134004235823, -0.09716164312845507, -0.17080552790120437, 0.12028653846672652, 0.07571473151336533, 0.11909245393940478, -0.07277748783953585, 0.1197890618119794, -0.15798050286127374, 0.1039323738364914, 0.1383099370929352, 0.06687267428844587, 0.14062718119073128, 0.09631324068691532, 0.05389342369735105, 0.1841125067379386, 0.04461381101206719, -0.0396662029594957, -0.30022642652008247, -0.17199103734849094, -0.13387959971479685, 0.010090153779253944, -0.14576101240773032, -0.2181688384228543, 0.4359996654758496, 0.10971858355748866, 0.134206129552482, 0.10791225858144583, 0.21796805342861947, 0.05192999794698236, 0.11769324198498257, 0.0418226906452207, 0.0938767412278269, 0.24502880730992788, -0.018402058002236602, -0.23692207825037517, 0.046373057242652234, 0.18954629948144996] |
1,803.00362 | Rounding the arithmetic mean value of the square roots of the first $n$
integers | In this article we study the arithmetic mean value $\Sigma(n)$ of the square
roots of the first $n$ integers. For this quantity, we develop an asymptotic
expression, and derive a formula for its integer part which has been
conjectured recently in the work of M. Merca. Furthermore, we address the
numerical evaluation of $\Sigma(n)$ for large $n\gg 1$.
| math.NT | in this article we study the arithmetic mean value sigman of the square roots of the first n integers for this quantity we develop an asymptotic expression and derive a formula for its integer part which has been conjectured recently in the work of m merca furthermore we address the numerical evaluation of sigman for large ngg 1 | [['in', 'this', 'article', 'we', 'study', 'the', 'arithmetic', 'mean', 'value', 'sigman', 'of', 'the', 'square', 'roots', 'of', 'the', 'first', 'n', 'integers', 'for', 'this', 'quantity', 'we', 'develop', 'an', 'asymptotic', 'expression', 'and', 'derive', 'a', 'formula', 'for', 'its', 'integer', 'part', 'which', 'has', 'been', 'conjectured', 'recently', 'in', 'the', 'work', 'of', 'm', 'merca', 'furthermore', 'we', 'address', 'the', 'numerical', 'evaluation', 'of', 'sigman', 'for', 'large', 'ngg', '1']] | [-0.18285455782737198, 0.05891519064983907, -0.09339043903084279, 0.032128427334226155, -0.0007075331302295471, -0.096917648719431, 0.022637368653547662, 0.2825862854590704, -0.21181950980299635, -0.27658946847478894, 0.09698903708766889, -0.2865003654091009, -0.22748915283089696, 0.15035369633375828, -0.05578711547021722, 0.07273453242719527, -0.0010692308584613532, 0.09731063672245063, -0.040007885360833384, -0.2825855442226447, 0.29575373855387344, 0.0012068942124987471, 0.19015059478436436, 0.11121036395117448, 0.11340773330423339, -0.004480017854928456, -0.02233078940932093, 0.0033150772917373427, -0.24893454377186194, 0.12821993417235028, 0.25404043784686203, 0.10678789854162084, 0.3144536008094919, -0.38594691333328857, -0.11484747917937307, 0.18047438422217965, 0.18532556308240727, 0.06973870971103616, -0.02553231273938356, -0.17676025856655606, 0.15340881206191562, -0.19333986657398655, -0.16633966551483448, -0.03911350970959355, 0.13744033479677706, -0.002280744631646265, -0.30339032194801957, 0.019354911519069994, 0.07907227860314064, 0.11693954671700967, -0.030914947617365497, -0.22257925494541897, 0.11591735780881397, 0.13108172635387244, 0.07163588625603709, 0.016863516656328636, -0.026735588763679922, -0.0950356047391763, -0.08896900206033526, 0.3094061544999994, -0.07743473481065755, -0.20893600213758903, 0.05986664807102803, -0.15475342263756642, -0.17477655108889628, 0.06602361318173594, 0.16786161360555682, 0.17211611726289167, -0.10918235518680565, 0.16671053434878685, -0.138586082945353, 0.13652857435578158, 0.08614262079434662, -0.008144420637861537, 0.12967994899071497, 0.1171947159194227, 0.03750929157731348, 0.19638674219684868, -0.08143724556530602, -0.04234150307381462, -0.3344349774275103, -0.24303494763143105, -0.2674387850445406, 0.12140865314848207, -0.08790659376170189, -0.15986248706306877, 0.35229591440794794, 0.13661856593660496, 0.18933866173028946, 0.17138989856025075, 0.2592900285561537, 0.17963307277010432, -0.0008037434810579851, 0.06484854968842009, 0.15376815366847763, 0.13189326605663218, 0.05531602095941018, -0.1949311072922087, 0.014487365132261967, 0.1478830588467676] |
1,803.00363 | Self-testing mutually unbiased bases in the prepare-and-measure scenario | Mutually unbiased bases (MUBs) constitute the canonical example of
incompatible quantum measurements. One standard application of MUBs is the task
known as quantum random access code (QRAC), in which classical information is
encoded in a quantum system, and later part of it is recovered by performing a
quantum measurement. We analyse a specific class of QRACs, known as the $2^{d}
\to 1$ QRAC, in which two classical dits are encoded in a $d$-dimensional
quantum system. It is known that among rank-1 projective measurements MUBs give
the best performance. We show (for every $d$) that this cannot be improved by
employing non-projective measurements. Moreover, we show that the optimal
performance can only be achieved by measurements which are rank-1 projective
and mutually unbiased. In other words, the $2^{d} \to 1$ QRAC is a self-test
for a pair of MUBs in the prepare-and-measure scenario. To make the
self-testing statement robust we propose measures which characterise how well a
pair of (not necessarily projective) measurements satisfies the MUB conditions
and show how to estimate these measures from the observed performance.
Similarly, we derive explicit bounds on operational quantities like the
incompatibility robustness or the amount of uncertainty generated by the
uncharacterised measurements. For low dimensions the robustness of our bounds
is comparable to that of currently available technology, which makes them
relevant for existing experiments. Lastly, our results provide essential
support for a recently proposed method for solving the long-standing existence
problem of MUBs.
| quant-ph | mutually unbiased bases mubs constitute the canonical example of incompatible quantum measurements one standard application of mubs is the task known as quantum random access code qrac in which classical information is encoded in a quantum system and later part of it is recovered by performing a quantum measurement we analyse a specific class of qracs known as the 2d to 1 qrac in which two classical dits are encoded in a ddimensional quantum system it is known that among rank1 projective measurements mubs give the best performance we show for every d that this cannot be improved by employing nonprojective measurements moreover we show that the optimal performance can only be achieved by measurements which are rank1 projective and mutually unbiased in other words the 2d to 1 qrac is a selftest for a pair of mubs in the prepareandmeasure scenario to make the selftesting statement robust we propose measures which characterise how well a pair of not necessarily projective measurements satisfies the mub conditions and show how to estimate these measures from the observed performance similarly we derive explicit bounds on operational quantities like the incompatibility robustness or the amount of uncertainty generated by the uncharacterised measurements for low dimensions the robustness of our bounds is comparable to that of currently available technology which makes them relevant for existing experiments lastly our results provide essential support for a recently proposed method for solving the longstanding existence problem of mubs | [['mutually', 'unbiased', 'bases', 'mubs', 'constitute', 'the', 'canonical', 'example', 'of', 'incompatible', 'quantum', 'measurements', 'one', 'standard', 'application', 'of', 'mubs', 'is', 'the', 'task', 'known', 'as', 'quantum', 'random', 'access', 'code', 'qrac', 'in', 'which', 'classical', 'information', 'is', 'encoded', 'in', 'a', 'quantum', 'system', 'and', 'later', 'part', 'of', 'it', 'is', 'recovered', 'by', 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0.051547385417386765] |
1,803.00364 | Strong and radiative decays of the low-lying $D$-wave singly heavy
baryons | The strong and radiative decays of the low-lying $\lambda$-mode $D$-wave
$\Lambda_{c(b)}$, $\Sigma_{c(b)}$, $\Xi_{c(b)}$, $\Xi_{c(b)}'$, and
$\Omega_{c(b)}$ baryons are studied in a constituent quark model. Our
calculation shows the following: (i) The missing $\lambda$-mode $D$-wave
$\Omega_{c(b)}$, $\Lambda_{b}$, and $\Xi_{b}$ baryons have a relatively narrow
decay width of a few MeV or a few tens of MeV and their dominant strong and
radiative decay channels can be ideal for searching for their signals in future
experiments. (ii) The $\lambda$-mode $1D$-wave excitations in the
$\Sigma_{c(b)}$ and $\Xi_{c(b)}'$ families appear to have a relatively broad
width of $\sim 50-200$ MeV.Most of the $1D$-wave states have large decay rates
into the $1P$-wave heavy baryons via the pionic or kaonic strong decay
processes, which should be taken seriously in future observations. (iii) Both
$\Lambda_c(2860)$ and $\Xi_c(3050)$ seem to favor the $J^P=3/2^+$ excitation
$|^2D_{\lambda\lambda} \frac{3}{2}^+ \rangle$ of $\bar{\mathbf{3}}_F$, while
both $\Lambda_c(2880)$ and $\Xi_c(3080)$ may be assigned as the $J^P=5/2^+$
excitation $|^2D_{\lambda\lambda} \frac{5}{2}^+ \rangle$ of
$\bar{\mathbf{3}}_F$. The nature of $\Xi_c(3050)$ and $\Xi_c(3080)$ could be
tested by the radiative transitions $\Xi_c(3055)^0\to \Xi_c(2790)^0 \gamma$ and
$\Xi_c(3080)^0 \to \Xi_c(2815)^0 \gamma$, respectively.
| hep-ph hep-ex | the strong and radiative decays of the lowlying lambdamode dwave lambda_cb sigma_cb xi_cb xi_cb and omega_cb baryons are studied in a constituent quark model our calculation shows the following i the missing lambdamode dwave omega_cb lambda_b and xi_b baryons have a relatively narrow decay width of a few mev or a few tens of mev and their dominant strong and radiative decay channels can be ideal for searching for their signals in future experiments ii the lambdamode 1dwave excitations in the sigma_cb and xi_cb families appear to have a relatively broad width of sim 50200 mevmost of the 1dwave states have large decay rates into the 1pwave heavy baryons via the pionic or kaonic strong decay processes which should be taken seriously in future observations iii both lambda_c2860 and xi_c3050 seem to favor the jp32 excitation 2d_lambdalambda frac32 rangle of barmathbf3_f while both lambda_c2880 and xi_c3080 may be assigned as the jp52 excitation 2d_lambdalambda frac52 rangle of barmathbf3_f the nature of xi_c3050 and xi_c3080 could be tested by the radiative transitions xi_c30550to xi_c27900 gamma and xi_c30800 to xi_c28150 gamma respectively | [['the', 'strong', 'and', 'radiative', 'decays', 'of', 'the', 'lowlying', 'lambdamode', 'dwave', 'lambda_cb', 'sigma_cb', 'xi_cb', 'xi_cb', 'and', 'omega_cb', 'baryons', 'are', 'studied', 'in', 'a', 'constituent', 'quark', 'model', 'our', 'calculation', 'shows', 'the', 'following', 'i', 'the', 'missing', 'lambdamode', 'dwave', 'omega_cb', 'lambda_b', 'and', 'xi_b', 'baryons', 'have', 'a', 'relatively', 'narrow', 'decay', 'width', 'of', 'a', 'few', 'mev', 'or', 'a', 'few', 'tens', 'of', 'mev', 'and', 'their', 'dominant', 'strong', 'and', 'radiative', 'decay', 'channels', 'can', 'be', 'ideal', 'for', 'searching', 'for', 'their', 'signals', 'in', 'future', 'experiments', 'ii', 'the', 'lambdamode', '1dwave', 'excitations', 'in', 'the', 'sigma_cb', 'and', 'xi_cb', 'families', 'appear', 'to', 'have', 'a', 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-0.2843195376672635, 0.034481482645660116, -0.061881442896052324] |
1,803.00365 | The generalized Brans-Dicke theory and its cosmology | A generalized Brans-Dicke (GBD) theory is proposed and studied in this paper.
The interesting property has been found in the GBD theory, for example it can
naturally solve the problem of \gamma value emerging in f(R) modified gravity
without introducing the so-called chameleon mechanism. In addition, it can be
found that the GBD theory could solve some problems existing in other theories.
(1) The $f(R)$ theory is equivalent to the BD theory with a potential
(abbreviated as BDV) for taking a specific value of the BD parameter \omega=0,
where the specific choice: \omega=0 is quite exceptional, and it is hard to
understand the corresponding absence of the kinetic-energy term for the field.
However, fields in the GBD own the non-disappeared dynamical effect. (2) In the
double scalar-fields quintom model, it is required to include both the
canonical quintessence field and the non-canonical phantom field in order to
make the state parameter to cross over w=-1, while several fundamental problems
are associated with phantom field, such as the problem of negative kinetic term
and the fine-tuning problem, etc. While, in the GBD model, the state parameter
of geometrical dark energy can cross over the phantom boundary as achieved in
the quintom model, without bearing the problems existing in the quintom model.
(3) The GBD theory tends to investigate the physics from the viewpoint of
geometry, while the BDV or the two scalar-fields quintom model tends to solve
physical problems from the viewpoint of matter. It is possible that several
special characteristics of scalar fields could be revealed through studies of
geometrical gravity in the GBD. As an example, we investigate the potential V
of the BD scalar field, and an effective form of V could be given by studying
on the GBD theory. And, it seems that a viable condition for the BD theory
could be found.
| gr-qc | a generalized bransdicke gbd theory is proposed and studied in this paper the interesting property has been found in the gbd theory for example it can naturally solve the problem of gamma value emerging in fr modified gravity without introducing the socalled chameleon mechanism in addition it can be found that the gbd theory could solve some problems existing in other theories 1 the fr theory is equivalent to the bd theory with a potential abbreviated as bdv for taking a specific value of the bd parameter omega0 where the specific choice omega0 is quite exceptional and it is hard to understand the corresponding absence of the kineticenergy term for the field however fields in the gbd own the nondisappeared dynamical effect 2 in the double scalarfields quintom model it is required to include both the canonical quintessence field and the noncanonical phantom field in order to make the state parameter to cross over w1 while several fundamental problems are associated with phantom field such as the problem of negative kinetic term and the finetuning problem etc while in the gbd model the state parameter of geometrical dark energy can cross over the phantom boundary as achieved in the quintom model without bearing the problems existing in the quintom model 3 the gbd theory tends to investigate the physics from the viewpoint of geometry while the bdv or the two scalarfields quintom model tends to solve physical problems from the viewpoint of matter it is possible that several special characteristics of scalar fields could be revealed through studies of geometrical gravity in the gbd as an example we investigate the potential v of the bd scalar field and an effective form of v could be given by studying on the gbd theory and it seems that a viable condition for the bd theory could be found | [['a', 'generalized', 'bransdicke', 'gbd', 'theory', 'is', 'proposed', 'and', 'studied', 'in', 'this', 'paper', 'the', 'interesting', 'property', 'has', 'been', 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1,803.00366 | A Catalog of Post-starburst Quasars from Sloan Digital Sky Survey Data
Release 7 | We present a catalog of nearby (z $\leq$ 0.5) quasars with significant
features of post-starburst stellar populations in their optical spectra,
so-called post-starburst quasars, or PSQs. After carefully decomposing spectra
from the Sloan Digital Sky Survey (SDSS) Data Release 7 (DR7) Quasar Catalog
into quasar and host-galaxy components, we derive a sample of 208 PSQs. Their
host-galaxy components have strong H\delta\ absorption ($\rm EW \geq 6 \AA$)
indicating a significant contribution of an intermediate-aged stellar
population formed in a burst of star formation within the past 1 Gyr, which
makes them potentially useful for studying the co-evolution of supermassive
black holes and their host galaxies.
| astro-ph.GA | we present a catalog of nearby z leq 05 quasars with significant features of poststarburst stellar populations in their optical spectra socalled poststarburst quasars or psqs after carefully decomposing spectra from the sloan digital sky survey sdss data release 7 dr7 quasar catalog into quasar and hostgalaxy components we derive a sample of 208 psqs their hostgalaxy components have strong hdelta absorption rm ew geq 6 aa indicating a significant contribution of an intermediateaged stellar population formed in a burst of star formation within the past 1 gyr which makes them potentially useful for studying the coevolution of supermassive black holes and their host galaxies | [['we', 'present', 'a', 'catalog', 'of', 'nearby', 'z', 'leq', '05', 'quasars', 'with', 'significant', 'features', 'of', 'poststarburst', 'stellar', 'populations', 'in', 'their', 'optical', 'spectra', 'socalled', 'poststarburst', 'quasars', 'or', 'psqs', 'after', 'carefully', 'decomposing', 'spectra', 'from', 'the', 'sloan', 'digital', 'sky', 'survey', 'sdss', 'data', 'release', '7', 'dr7', 'quasar', 'catalog', 'into', 'quasar', 'and', 'hostgalaxy', 'components', 'we', 'derive', 'a', 'sample', 'of', '208', 'psqs', 'their', 'hostgalaxy', 'components', 'have', 'strong', 'hdelta', 'absorption', 'rm', 'ew', 'geq', '6', 'aa', 'indicating', 'a', 'significant', 'contribution', 'of', 'an', 'intermediateaged', 'stellar', 'population', 'formed', 'in', 'a', 'burst', 'of', 'star', 'formation', 'within', 'the', 'past', '1', 'gyr', 'which', 'makes', 'them', 'potentially', 'useful', 'for', 'studying', 'the', 'coevolution', 'of', 'supermassive', 'black', 'holes', 'and', 'their', 'host', 'galaxies']] | [-0.03148990505862804, 0.05015308615831947, -0.03170785696378776, 0.15151117328731786, -0.12517362415258373, -0.07027381780956472, 0.06849987129680812, 0.4971891528172862, -0.09412696455339235, -0.3612872728811843, 0.01142174736153157, -0.39154108943683763, 0.0489217399575171, 0.17167379224584217, -0.006709694412226478, -0.10112175502415215, 0.02562000277851309, -0.2252351240920169, -0.007668060960124768, -0.35552468555535943, 0.3037954286273037, 0.031191756283598288, 0.13106475806395923, -0.13498178551505718, 0.07759459700457574, -0.07009678437330183, -0.17380409133842303, -0.05437502005314898, -0.20780811830911608, 0.019013837290306885, 0.2895034675442037, 0.19415541717982185, 0.26693799441591615, -0.23643527362638408, -0.1547970098931165, 0.11932619781721206, 0.2921601110182348, 0.0904614092283217, -0.1360496865629795, -0.29902480450857966, 0.1056704995621528, -0.2304541740832584, -0.14641351461233126, 0.1307408946937704, 0.09031049267921065, 0.05303088882938027, -0.1507183931745766, 0.199412397756463, 0.053999358743229614, 0.1748148523980663, -0.14497604088059493, -0.074649857232968, -0.17194991406674187, 0.07095843232680289, -0.05206860117614269, 0.06080929540275108, 0.1941029920065332, -0.1526644640513474, -0.015764253768360333, 0.4008681002649523, -0.021060455836621778, 0.1599928101546885, 0.16719630035527405, -0.2134614402162177, -0.20261460903233716, 0.1429088710751828, 0.21782197912356682, 0.11969484972678834, -0.20015886123735635, -0.004468201412375839, 0.030362039090444645, 0.30674461261147545, -0.008886306021096451, 0.14473602899483273, 0.38475219258772475, 0.04087670966982841, -0.023773188466743922, 0.0655599832978277, -0.2555016728453449, 0.07216435317837057, -0.19502262294381148, -0.03874875957678471, -0.09168973663555724, 0.1795520461053543, -0.20347329656166646, -0.10597870557435922, 0.3702694674998167, 0.047258581615807045, 0.26122873093090243, 0.07474584582239567, 0.2668251584967601, 0.01692750212636643, 0.12944674568827308, 0.09653285320715181, 0.3300260416985977, 0.19291259114231382, 0.08471965472923502, -0.1880395051380176, 0.018404881257031644, 0.020382533603835674] |
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