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Articles
Ohad Noy Feldheim, Jiange Li
Electron. Commun. Probab. 25, 1-13, (2020) DOI: 10.1214/19-ECP282
KEYWORDS: Balls and bins, load balancing, two-choice, thinning, 60J10, 68Q87
Raphaël Cerf, Barbara Dembin
Electron. Commun. Probab. 25, 1-7, (2020) DOI: 10.1214/19-ECP281
KEYWORDS: Critical percolation, isoperimetric constant, 60K35, 82B43
Hua Zhang
Electron. Commun. Probab. 25, 1-10, (2020) DOI: 10.1214/20-ECP284
KEYWORDS: Strong Feller property, continuous dependence of initial data, Stochastic differential equations, Hölder continuous coefficients, Local time, Coupling method, Girsanov’s transform, 60H10
Jakob E. Björnberg, Cécile Mailler, Peter Mörters, Daniel Ueltschi
Electron. Commun. Probab. 25, 1-12, (2020) DOI: 10.1214/19-ECP283
KEYWORDS: partition structures, residual allocation, 60E10, 60G57, 60K35
Ron Doney
Electron. Commun. Probab. 25, 1-8, (2020) DOI: 10.1214/20-ECP287
KEYWORDS: Renewal theorem, asymtotic stability, Random walks, regular variation, 60K05, 60G50
Nicolas Champagnat, Denis Villemonais
Electron. Commun. Probab. 25, 1-11, (2020) DOI: 10.1214/20-ECP288
KEYWORDS: R-positivity, Quasi-stationary distributions, mixing properties, Foster-Lyapunov criteria, 60J05, 60J25, 47A35
Miika Nikula
Electron. Commun. Probab. 25, 1-12, (2020) DOI: 10.1214/17-ECP85
KEYWORDS: Mandelbrot cascades, 60G57
Kei Noba
Electron. Commun. Probab. 25, 1-12, (2020) DOI: 10.1214/20-ECP289
KEYWORDS: Standard process, scale function, Excursion theory, spectrally negative Lévy process, 60J99, 60J45, 60G51
Giuseppe Da Prato, Arnaud Debussche
Electron. Commun. Probab. 25, 1-16, (2020) DOI: 10.1214/20-ECP294
KEYWORDS: Stochastic quantization, Kolmogorov operators, Gradient estimates, maximal dissipativity, NA28C20, 60H15, 35R15, 81S20
Han Huang, Konstantin Tikhomirov
Electron. Commun. Probab. 25, 1-8, (2020) DOI: 10.1214/20-ECP285
KEYWORDS: smallest singular values, random matrices, Gaussian matrices, 60B20
Yan Dolinsky, Benjamin Gottesman, Gurel-Gurevich Ori
Electron. Commun. Probab. 25, 1-12, (2020) DOI: 10.1214/20-ECP295
KEYWORDS: optimal stochastic control, Backward stochastic differential equations, 49J15, 60H30, 93E20
Steven P. Lalley, Si Tang
Electron. Commun. Probab. 25, 1-13, (2020) DOI: 10.1214/20-ECP293
KEYWORDS: Branching random walk, ISE, Occupation density, 60J80, 60G50
Michael Fuchs, Chih-Hong Lee, Ariel R. Paningbatan
Electron. Commun. Probab. 25, 1-13, (2020) DOI: 10.1214/20-ECP291
KEYWORDS: animal grouping, extra-cluster model, phylogenetic tree, PDA model, number of groups, largest group size, moments, limit laws, negative binomial distribution, convergence of moments, 05A16, 60F05, 92B05
Krzysztof Burdzy, Jim Pitman
Electron. Commun. Probab. 25, 1-12, (2020) DOI: 10.1214/20-ECP296
KEYWORDS: conditional probability, opinion, maximal inequality, joint distribution of conditional expectations, 60E15
Antoine Havet, Matthieu Lerasle, Eric Moulines, Elodie Vernet
Electron. Commun. Probab. 25, 1-11, (2020) DOI: 10.1214/20-ECP286
KEYWORDS: Concentration inequalities, Markov chains, geometric ergodicity, coupling, 60J05, 60E15
Stefan Gerhold, Christoph Gerstenecker
Electron. Commun. Probab. 25, 1-11, (2020) DOI: 10.1214/20-ECP297
KEYWORDS: Large Deviations Principle, Law of the iterated logarithm, boundary crossings, Itô diffusion, 60F10, 60J60, 60J65
Pál Galicza
Electron. Commun. Probab. 25, 1-6, (2020) DOI: 10.1214/20-ECP290
KEYWORDS: Noise sensitivity, Noise stability, influence, Boolean functions, Volatility, 60C05
Julio Backhoff-Veraguas, Mathias Beiglböck, Gudmund Pammer
Electron. Commun. Probab. 25, 1-16, (2020) DOI: 10.1214/20-ECP292
KEYWORDS: Convex order, mass transport, martingale transport, monotone rearrangement, 60E15, 60G42, 60J05
Swee Hong Chan
Electron. Commun. Probab. 25, 1-5, (2020) DOI: 10.1214/20-ECP298
KEYWORDS: rotor walk, rotor-router, escape rate, transience density, 05C81, 82C20
Maher Boudabra, Greg Markowsky
Electron. Commun. Probab. 25, 1-13, (2020) DOI: 10.1214/20-ECP300
KEYWORDS: Planar Brownian motion, conformal invariance, 60J65, 30C20
Adam Osękowski
Electron. Commun. Probab. 25, 1-12, (2020) DOI: 10.1214/20-ECP301
KEYWORDS: martingale, Differential subordination, Burkholder’s method, best constant, 60G42, 60G44
Rick Durrett, Matthew Junge, Si Tang
Electron. Commun. Probab. 25, 1-14, (2020) DOI: 10.1214/20-ECP302
KEYWORDS: Growth model, Particle system, phase transition, 60K35
Loïc Hervé, James Ledoux
Electron. Commun. Probab. 25, 1-12, (2020) DOI: 10.1214/20-ECP303
KEYWORDS: geometric ergodicity, rate of convergence, spectral gap, minorization condition, drift condition, 60J05
Xiangying Huang, Rick Durrett
Electron. Commun. Probab. 25, 1-12, (2020) DOI: 10.1214/20-ECP305
KEYWORDS: local survival, block construction, sharp asymptotics, 60K35
Alexander Hinsen, Benedikt Jahnel, Elie Cali, Jean-Philippe Wary
Electron. Commun. Probab. 25, 1-14, (2020) DOI: 10.1214/20-ECP306
KEYWORDS: interacting particle systems, Random graphs, survival, extinction, percolation, Boolean model, 60J25, 60K35, 60K37
Shane Turnbull, Amanda Turner
Electron. Commun. Probab. 25, 1-14, (2020) DOI: 10.1214/20-ECP304
KEYWORDS: random growth models, Hastings-Levitov, scaling limits, ergodic limits, 60Fxx, 60K35
Laure Coutin, Laurent Decreusefond
Electron. Commun. Probab. 25, 1-13, (2020) DOI: 10.1214/20-ECP308
KEYWORDS: Donsker Theorem, Malliavin calculus, Stein’s method, Wasserstein distance, 60F15, 60H07, 60G15, 60G55
Valentin Féray
Electron. Commun. Probab. 25, 1-6, (2020) DOI: 10.1214/20-ECP309
KEYWORDS: asymptotic normality, Wasserstein distance, Coxeter groups, 60C05, 60F05, 05E15
Ugo Boscain, Robert W. Neel
Electron. Commun. Probab. 25, 1-12, (2020) DOI: 10.1214/20-ECP299
KEYWORDS: Grushin plane, Bessel processes, self-adjointness of the Laplace-Beltrami operator, 58J65, 53C17
Lishun Xiao, Shengjun Fan, Dejian Tian
Electron. Commun. Probab. 25, 1-10, (2020) DOI: 10.1214/20-ECP310
KEYWORDS: backward stochastic differential equation, recursive optimal control problem, Hamilton-Jacobi-Bellman equation, representation theorem for generator, 60H10, 35K20, 49L25
Nicolas Champagnat, Denis Villemonais
Electron. Commun. Probab. 25, 1-2, (2020) DOI: 10.1214/20-ECP307
KEYWORDS: R-positivity, Quasi-stationary distributions, mixing properties, Foster-Lyapunov criteria, 60J05, 60J25, 47A35
Louis-Pierre Arguin, Jack Hanson
Electron. Commun. Probab. 25, 1-12, (2020) DOI: 10.1214/20-ECP311
KEYWORDS: Spin glasses, Disorder chaos, 82B44
Mads Bonde Raad, Eva Löcherbach
Electron. Commun. Probab. 25, 1-9, (2020) DOI: 10.1214/20-ECP312
KEYWORDS: Multivariate nonlinear Hawkes processes, stability, Piecewise deterministic Markov processes, Lyapunov functions, 60G55, 60G57, 60J25, 60Fxx
Barbara Dembin
Electron. Commun. Probab. 25, 1-13, (2020) DOI: 10.1214/20-ECP313
KEYWORDS: regularity, flow constant, percolation, isoperimetric constant, first passage percolation, 60K35, 82B43
William Oçafrain
Electron. Commun. Probab. 25, 1-12, (2020) DOI: 10.1214/20-ECP315
KEYWORDS: quasi-stationary distribution, Yaglom limit, Brownian motion with drift, rate of convergence, $1$-Wasserstein distance, Bessel-$3$ process, 60B10, 60J65, 37A25
Pautrel Thibault
Electron. Commun. Probab. 25, 1-13, (2020) DOI: 10.1214/20-ECP314
KEYWORDS: random trigonometric polynomials, nodal set, Strong dependence, 26C10, 30C15, 42A05
Mehmet Öz
Electron. Commun. Probab. 25, 1-12, (2020) DOI: 10.1214/20-ECP316
KEYWORDS: Branching Brownian motion, Density, sausage, Strong law of large numbers, 60J80, 60F15, 60D05, 92D25
Noah Forman, Soumik Pal, Douglas Rizzolo, Matthias Winkel
Electron. Commun. Probab. 25, 1-16, (2020) DOI: 10.1214/20-ECP317
KEYWORDS: interval partition, Poisson–Dirichlet distribution, $\alpha $-diversity, 60J25, 60J60, 60J80, 60G18, 60G52, 60G55
Lucile Laulin
Electron. Commun. Probab. 25, 1-13, (2020) DOI: 10.1214/20-ECP321
KEYWORDS: Polya urns, Martingales, central limit theorem, Almost sure convergence, Primary: 60C05, 60G42, Secondary: 60F05, 60F15
Magda Peligrad
Electron. Commun. Probab. 25, 1-10, (2020) DOI: 10.1214/20-ECP318
KEYWORDS: Markov chains, variance of partial sums, central limit theorem, Projective criteria, 60F05, 60G10, 60G05
Christian Hirsch, Benedikt Jahnel, András Tóbiás
Electron. Commun. Probab. 25, 1-12, (2020) DOI: 10.1214/20-ECP322
KEYWORDS: large deviations, lower tails, Stabilizing functionals, Random geometric graph, $k$-nearest neighbor graph, relative neighborhood graph, Voronoi tessellation, clique count, 60K35, 60F10, 82C22
Phanuel Mariano, Hugo Panzo
Electron. Commun. Probab. 25, 1-11, (2020) DOI: 10.1214/20-ECP324
KEYWORDS: conformal Skorokhod embedding, Principal eigenvalue, harmonic measure, torsion function, Grim Reaper curve, catenary of equal resistance, 60G40, 60J65, 30C20, 30C70, 30C85
Yuval Peres, Andrew Swan
Electron. Commun. Probab. 25, 1-8, (2020) DOI: 10.1214/20-ECP320
KEYWORDS: Galton–Watson tree, analytic continuation, phase transition, 60J80
Tommaso Cornelis Rosati
Electron. Commun. Probab. 25, 1-12, (2020) DOI: 10.1214/20-ECP319
KEYWORDS: PAM, Stochastic pde, Super-Brownian motion, 60H15
Jean Bérard, Nicolas Juillet
Electron. Commun. Probab. 25, 1-9, (2020) DOI: 10.1214/20-ECP323
KEYWORDS: Convex order, Strassen’s theorem, martingale transport, 60E15, 60G50, 91B30, 49Q22, 46A55, 60G42
Henri Elad Altman
Electron. Commun. Probab. 25, 1-11, (2020) DOI: 10.1214/20-ECP325
KEYWORDS: integration by parts formulae, Bessel bridges, hypergeometric functions, Bessel SPDEs, 60H99, 60H15
J. van den Berg, H. Don
Electron. Commun. Probab. 25, 1-9, (2020) DOI: 10.1214/20-ECP326
KEYWORDS: Critical percolation, connection probabilities, 60K35, 82B43
Nicholas Ma, David Nualart, Panqiu Xia
Electron. Commun. Probab. 25, 1-10, (2020) DOI: 10.1214/20-ECP327
KEYWORDS: Parabolic Anderson model, Wick product, Skorohod integral, Feynman-Kac formula, moment bounds, Brownian bridges, Intermittency, 60H15
Miryana Grigorova, Peter Imkeller, Youssef Ouknine, Marie-Claire Quenez
Electron. Commun. Probab. 25, 1-9, (2020) DOI: 10.1214/20-ECP328
KEYWORDS: Optimal stopping, non-linear expectation, strict value process, general filtration, irregular payoff, strong $\mathcal {E}^{f}$-supermartingale, 60G40, 60G07, 91G80
Maria Deijfen, Sebastian Rosengrenï
Electron. Commun. Probab. 25, 1-7, (2020) DOI: 10.1214/20-ECP329
KEYWORDS: frog model, Random walk, asymptotic shape, competing growth, Coexistence, 60K35
Zhongyang Li
Electron. Commun. Probab. 25, 1-13, (2020) DOI: 10.1214/20-ECP332
KEYWORDS: dimer, limit shape, Schur polynomial, 80B20
K. Bashiri
Electron. Commun. Probab. 25, 1-14, (2020) DOI: 10.1214/20-ECP330
KEYWORDS: Wasserstein gradient flows, McKean-Vlasov evolution, ergodicity, basin of attraction, 35B40, 35B30, 35K55, 49J40, 60G10
Curtis McDonald, Serdar Yüksel
Electron. Commun. Probab. 25, 1-13, (2020) DOI: 10.1214/20-ECP333
KEYWORDS: non-linear filtering, filter stability, Dobrushin coefficient, geometric convergence, 60G35, 93E11
Steven Rosenberg, Jie Xu
Electron. Commun. Probab. 25, 1-10, (2020) DOI: 10.1214/20-ECP336
KEYWORDS: metric spaces, central limit theorems, 60F05
Perla Sousi, Sam Thomas
Electron. Commun. Probab. 25, 1-11, (2020) DOI: 10.1214/20-ECP331
KEYWORDS: Chen–Stein, Random walk, Uncovered set, late points, GFF, N60G50, 60J10, 82C41A
Marco Aymone, Susana Frómeta, Ricardo Misturini
Electron. Commun. Probab. 25, 1-14, (2020) DOI: 10.1214/20-ECP340
KEYWORDS: Random series, Law of the iterated logarithm, Dirichlet series, 60G50, 11M41
Slim Kammoun Kammoun, Mylène Maïda
Electron. Commun. Probab. 25, 1-14, (2020) DOI: 10.1214/20-ECP334
KEYWORDS: Random permutations, Moment method, universality results, 60C05, 60B20, 60F05, 05A16, 05A05
Sebastian Andres, Jean-Dominique Deuschel, Martin Slowik
Electron. Commun. Probab. 25, 1-14, (2020) DOI: 10.1214/20-ECP337
KEYWORDS: Random walk, Green kernel, random conductance model, stochastic interface model, 39A12, 60J35, 60J45, 60K37, 82C41
Sören Christensen, Simon Fischer
Electron. Commun. Probab. 25, 1-10, (2020) DOI: 10.1214/20-ECP335
KEYWORDS: Optimal stopping, discrete time stopping problem, Random walk, smoothness, continuation set, Chow-Robbins game, value function, 60G40, 60G50
Nicoletta Cancrini, Gustavo Posta
Electron. Commun. Probab. 25, 1-14, (2020) DOI: 10.1214/20-ECP338
KEYWORDS: interacting particles systems, Mixing times, parallel updates, queues networks, coupling, 60K35
Vittoria Silvestri
Electron. Commun. Probab. 25, 1-14, (2020) DOI: 10.1214/20-ECP339
KEYWORDS: Internal DLA, Mixing, Fluctuations, 60J05
Michael Habeck, Daniel Rudolf, Björn Sprungk
Electron. Commun. Probab. 25, 1-13, (2020) DOI: 10.1214/20-ECP341
KEYWORDS: doubly-intractable, Wasserstein distance, stability, 60B10, 62C10, 65C05
Svante Janson
Electron. Commun. Probab. 25, 1-14, (2020) DOI: 10.1214/20-ECP345
KEYWORDS: independence number, Random trees, Random recursive tree, binary search tree, Crump–Mode–Jagers branching process, 60C05, 05C05, 05C69
Alexander Dunlap
Electron. Commun. Probab. 25, 1-14, (2020) DOI: 10.1214/20-ECP342
KEYWORDS: Parabolic Anderson model, fractional Laplacian, 60H15
Adam Bowditch, Yuki Tokushige
Electron. Commun. Probab. 25, 1-11, (2020) DOI: 10.1214/20-ECP344
KEYWORDS: Galton-Watson tree, biased random walks, Speed, analytic, 60J80, 60K37, 60J10, 05C81
Mikhail Lifshits, Vladislav Vysotsky
Electron. Commun. Probab. 25, 1-10, (2020) DOI: 10.1214/20-ECP346
KEYWORDS: Skorokhod space, Skorokhod distance, completion, 54D35, 46N30
Florian Völlering
Electron. Commun. Probab. 25, 1-7, (2020) DOI: 10.1214/20-ECP349
KEYWORDS: Markov semigoups, negative jump rates, stochastic representation, Duality, 60J27, 60J35
Mario Maurelli
Electron. Commun. Probab. 25, 1-10, (2020) DOI: 10.1214/20-ECP347
KEYWORDS: Stochastic differential equations, non-explosion by noise, geometric ergodicity, 60H10, 37A25
Nathanaël Enriquez, Nathan Noiry
Electron. Commun. Probab. 25, 1-14, (2020) DOI: 10.1214/20-ECP348
KEYWORDS: Renewal process, Stieltjes transform, 60K05, 82D60, 30D35
Giulio Biroli, Alice Guionnet
Electron. Commun. Probab. 25, 1-13, (2020) DOI: 10.1214/20-ECP343
KEYWORDS: random matrices, large deviations, 60B20, 60F10
Marcos López-García
Electron. Commun. Probab. 25, 1-7, (2020) DOI: 10.1214/20-ECP351
KEYWORDS: Krein condition, Hilbert transform, Stieltjes class, 44A60, 62E10, 44A15
Piotr Dyszewski, Nina Gantert, Thomas Höfelsauer
Electron. Commun. Probab. 25, 1-13, (2020) DOI: 10.1214/20-ECP353
KEYWORDS: Branching random walk, large deviations, stretched exponential random variables, 60F10, 60J80, 60G50
Joseph Najnudel, Jim Pitman
Electron. Commun. Probab. 25, 1-11, (2020) DOI: 10.1214/20-ECP352
KEYWORDS: cycles, records, Random permutations, Poisson process, 60C05
Lingfu Zhang
Electron. Commun. Probab. 25, 1-14, (2020) DOI: 10.1214/20-ECP354
KEYWORDS: exponential last passage percolation, coalescence of geodesics, optimal exponent, 60K35, 82C23
Matthias Winkel
Electron. Commun. Probab. 25, 1-13, (2020) DOI: 10.1214/20-ECP355
KEYWORDS: interval partition, Bessel process, measure-valued diffusion, Poisson–Dirichlet distribution, Excursion theory, 60J25, 60J60, 60J80, 60G18, 60G55
Zhengye Zhou
Electron. Commun. Probab. 25, 1-8, (2020) DOI: 10.1214/20-ECP350
KEYWORDS: hydrodynamics, open symmetric exclusion process, 60J75
Narutaka Ozawa
Electron. Commun. Probab. 25, 1-8, (2020) DOI: 10.1214/20-ECP358
KEYWORDS: Random walk, Cutoff, Entropy, Ramanujan graph, 05C81, 60J10, 94A17
Robert Griffiths, Kais Hamza
Electron. Commun. Probab. 25, 1-12, (2020) DOI: 10.1214/20-ECP357
KEYWORDS: copula, marginal laws, law of the sum, 60E05,60E99
Nicolas Lanchier, Hsin-Lun Li
Electron. Commun. Probab. 25, 1-12, (2020) DOI: 10.1214/20-ECP359
KEYWORDS: interacting particle systems, Deffuant model, opinion dynamics, martingale, optional stopping theorem, confidence threshold, consensus, 60K35
David Nualart, Guangqu Zheng
Electron. Commun. Probab. 25, 1-11, (2020) DOI: 10.1214/20-ECP361
KEYWORDS: ergodicity, Stochastic wave equation, Malliavin calculus, 60H15, 60H07, 37A25
Michael Scheutzow
Electron. Commun. Probab. 25, 1-7, (2020) DOI: 10.1214/20-ECP363
KEYWORDS: Markov chain, invariant measure, coupling, generalized coupling, 60J05, 60G10
Dmitry Beliaev, Valentina Cammarota, Igor Wigman
Electron. Commun. Probab. 25, 1-13, (2020) DOI: 10.1214/20-ECP362
KEYWORDS: Gaussian fields, critical points, 60G60, 60G55, 58K05
Palö Forsström Forsström
Electron. Commun. Probab. 25, 1-8, (2020) DOI: 10.1214/20-ECP366
KEYWORDS: Boolean functions, 60K99
Martin Friesen, Peng Jin, Barbara Rüdiger
Electron. Commun. Probab. 25, 1-14, (2020) DOI: 10.1214/20-ECP364
KEYWORDS: multi-type continuous-state branching process with immigration, extinction, transience, Comparison principle, 60G17, 60J25, 60J80
Ilya Pavlyukevich, Andrey Pilipenko
Electron. Commun. Probab. 25, 1-14, (2020) DOI: 10.1214/20-ECP365
KEYWORDS: Lévy process, Stochastic differential equation, selection problem, zero noise limit, Peano theorem, non-uniqueness, irregular drift, 60H10, 60F05, 60G51, 34A12, 34E10, 34F05
Yongjia Xie
Electron. Commun. Probab. 25, 1-14, (2020) DOI: 10.1214/20-ECP360
KEYWORDS: Random walk, Dynamic random environment, resampling times, functional weak limit, 60F17, 60G50, 60K37
Yury Malyshkin
Electron. Commun. Probab. 25, 1-12, (2020) DOI: 10.1214/20-ECP368
KEYWORDS: preferential attachment, random graphs, power of choice, 05C80
Alberto Ohashi, Francys A. de Souza
Electron. Commun. Probab. 25, 1-13, (2020) DOI: 10.1214/20-ECP367
KEYWORDS: fractional Brownian motion, Gaussian processes, 60G15, 60G18
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