VOL. 47 · NO. 5 | September 2019
Ann. Probab. 47 (5), (September 2019)
No abstract available
Ann. Probab. 47 (5), (September 2019)
No abstract available
Gaultier Lambert, Michel Ledoux, Christian Webb
Ann. Probab. 47 (5), 2619-2685, (September 2019) DOI: 10.1214/18-AOP1314
KEYWORDS: $\beta$-ensembles, Normal approximation, central limit theorem, 60F05, 60K35, 60B20, 82B05
Vadim Gorin, Leonid Petrov
Ann. Probab. 47 (5), 2686-2753, (September 2019) DOI: 10.1214/18-AOP1315
KEYWORDS: Noncolliding random walks, Determinantal point processes, Bulk universality, discrete sine process, steepest descent method, Dyson’s conjecture, Homogenization‎, 60G55, 60C05, 60B20
Christian Borgs, Jennifer T. Chayes, Henry Cohn, Victor Veitch
Ann. Probab. 47 (5), 2754-2800, (September 2019) DOI: 10.1214/18-AOP1320
KEYWORDS: network analysis, sampling, Graph limits, nonparametric estimation, 60C05, 62D05, 62G09, 62G05
Tom Hutchcroft
Ann. Probab. 47 (5), 2801-2829, (September 2019) DOI: 10.1214/18-AOP1322
KEYWORDS: Self-avoiding walk, Nonunimodular, transitive graph, mean-field, nonamenable, Bubble diagram, 60K35, 05A99, 60B99
Joohak Bae, Jaehoon Kang, Panki Kim, Jaehun Lee
Ann. Probab. 47 (5), 2830-2868, (September 2019) DOI: 10.1214/18-AOP1323
KEYWORDS: Dirichlet form, symmetric Markov process, Transition density, Heat kernel estimates, Law of iterated logarithm, 60J35, 60J75, 60F99
Izumi Okada
Ann. Probab. 47 (5), 2869-2893, (September 2019) DOI: 10.1214/18-AOP1325
KEYWORDS: Local time, late point, Simple random walks, 60G60, 60J10
Xian Chen, Zhi-Ming Ma, Xue Peng
Ann. Probab. 47 (5), 2894-2929, (September 2019) DOI: 10.1214/18-AOP1327
KEYWORDS: Positivity preserving coercive form, $h$-associated process, distribution flow, strong Markov property, positive continuous additive functional, Revuz correspondence, optional measure, 31C25, 47D03, 60J40, 60J45, 31C15
Martin Grothaus, Feng-Yu Wang
Ann. Probab. 47 (5), 2930-2952, (September 2019) DOI: 10.1214/18-AOP1328
KEYWORDS: Degenerate diffusion semigroup, hypocercivity, Weak Poincaré inequality, convergence rate, 60H10, 37A25, 47D07
Pascal Maillard, Michel Pain
Ann. Probab. 47 (5), 2953-3002, (September 2019) DOI: 10.1214/18-AOP1329
KEYWORDS: Branching Brownian motion, derivative martingale, Fluctuations, Functional convergence, 1-stable Lévy process, F–KPP equation, 60J80, 60F17, 35K57, 82B44
Enrique Guerra Aguilar
Ann. Probab. 47 (5), 3003-3054, (September 2019) DOI: 10.1214/18-AOP1330
KEYWORDS: Random walk in random environment, ballisticity conditions, strong mixing environments, 60K37, 82D30
Terry Soo, Amanda Wilkens
Ann. Probab. 47 (5), 3055-3081, (September 2019) DOI: 10.1214/18-AOP1332
KEYWORDS: Poisson point process, finitary isomorphisms, 37A35, 60G10, 60G55
Rémi Rhodes, Vincent Vargas
Ann. Probab. 47 (5), 3082-3107, (September 2019) DOI: 10.1214/18-AOP1333
KEYWORDS: Gaussian multiplicative chaos, tail expansion, reflection coefficient, DOZZ formula, 60G57
Yong Jiao, Adam Osȩkowski, Lian Wu
Ann. Probab. 47 (5), 3108-3142, (September 2019) DOI: 10.1214/18-AOP1334
KEYWORDS: Noncommutative submartingale, strong differential subordination, weak-type inequality, strong-type inequality, 46L53, 60G42, 46L52, 60G50
Yotam Alexander, Ronen Eldan
Ann. Probab. 47 (5), 3143-3169, (September 2019) DOI: 10.1214/19-AOP1335
KEYWORDS: Brownian motion, cone points, Convex hull, 60J65, 52A22
Mathieu Merle, Justin Salez
Ann. Probab. 47 (5), 3170-3201, (September 2019) DOI: 10.1214/19-AOP1336
KEYWORDS: Zero-range process, Cutoff phenomenon, 60J27, 37A25, 82C22
Thomas Bloom, Duncan Dauvergne
Ann. Probab. 47 (5), 3202-3230, (September 2019) DOI: 10.1214/19-AOP1337
KEYWORDS: random polynomials, Logarithmic potential, orthogonal polynomials, Equilibrium measure, Bernstein–Markov property, complex zeros, potential theory, 30C15, 42C05, 60B10, 60G57
Pierre Patie, Mladen Savov, Yixuan Zhao
Ann. Probab. 47 (5), 3231-3277, (September 2019) DOI: 10.1214/19-AOP1338
KEYWORDS: Excursion theory, intertwining, Krein theory, Markov semigroups, Self-similar, Spectral theory, 37A30, 47D07, 60G18
Yukun He, Antti Knowles, Matteo Marcozzi
Ann. Probab. 47 (5), 3278-3302, (September 2019) DOI: 10.1214/19-AOP1339
KEYWORDS: Erdős–Rényi graph, sparse random matrix, Local law, eigenvector delocalization, 60B20, 15B52, 05C80
Megan Bernstein, Evita Nestoridi
Ann. Probab. 47 (5), 3303-3320, (September 2019) DOI: 10.1214/19-AOP1340
KEYWORDS: Cutoff, card shuffle, random-to-random, Mixing times, cyclic-to-random, 60J10, 20C30, 05E99
Jianqing Fan, Tiefeng Jiang
Ann. Probab. 47 (5), 3321-3374, (September 2019) DOI: 10.1214/19-AOP1341
KEYWORDS: Maximum sample correlation, phase transition, multivariate normal distribution, Gumbel distribution, Chen–Stein Poisson approximation, 62H10, 62E20, 60F05
Roland Bauerschmidt, Tyler Helmuth, Andrew Swan
Ann. Probab. 47 (5), 3375-3396, (September 2019) DOI: 10.1214/19-AOP1343
KEYWORDS: Vertex-reinforced jump process, hyperbolic sigma models, Mermin–Wagner theorem, Dynkin isomorphism, supersymmetry, 60G60, 82B20
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