VOL. 47 · NO. 5 | September 2019
 
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Frontmatter
Ann. Probab. 47 (5), (September 2019) Open Access
No abstract available
Ann. Probab. 47 (5), (September 2019) Open Access
No abstract available
Articles
Gaultier Lambert, Michel Ledoux, Christian Webb
Ann. Probab. 47 (5), 2619-2685, (September 2019) DOI: 10.1214/18-AOP1314 Open Access
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 Open Access
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 Open Access
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 Open Access
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 Open Access
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 Open Access
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 Open Access
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 Open Access
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 Open Access
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 Open Access
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 Open Access
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 Open Access
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 Open Access
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 Open Access
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 Open Access
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 Open Access
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 Open Access
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 Open Access
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 Open Access
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 Open Access
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 Open Access
KEYWORDS: Vertex-reinforced jump process, hyperbolic sigma models, Mermin–Wagner theorem, Dynkin isomorphism, supersymmetry, 60G60, 82B20
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