VOL. 47 · NO. 6 | November 2019
 
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Frontmatter
Ann. Probab. 47 (6), (November 2019)
No abstract available
Ann. Probab. 47 (6), (November 2019)
No abstract available
Articles
Erich Baur, Grégory Miermont, Gourab Ray
Ann. Probab. 47 (6), 3397-3477, (November 2019) DOI: 10.1214/18-AOP1316
KEYWORDS: Planar map, quadrangulation, Brownian map, Brownian disk, Brownian tree, Scaling limit, Gromov–Hausdorff convergence, 60D05, 60F17, 05C80
Martin Hairer, Weijun Xu
Ann. Probab. 47 (6), 3478-3550, (November 2019) DOI: 10.1214/18-AOP1317
KEYWORDS: KPZ, Weak universality, interface fluctuation, 60H15, 35R60, 82C28
Chang-Han Rhee, Jose Blanchet, Bert Zwart
Ann. Probab. 47 (6), 3551-3605, (November 2019) DOI: 10.1214/18-AOP1319
KEYWORDS: sample path large deviations, regular variation, $\mathbb{M}$-convergence, Lévy processes, 60F10, 60G17, 60B10
Jason Miller, Scott Sheffield
Ann. Probab. 47 (6), 3606-3648, (November 2019) DOI: 10.1214/18-AOP1331
KEYWORDS: Gaussian free field, Schramm–Loewner evolution, imaginary geometry, 60J67, 60G15, 60G60
Shirshendu Ganguly, Lionel Levine, Sourav Sarkar
Ann. Probab. 47 (6), 3649-3704, (November 2019) DOI: 10.1214/19-AOP1342
KEYWORDS: Alternating extrema, Annihilating particle system, Brownian motion, competitive erosion, Diffusion-limited aggregation, macroscopic interface, 60G50, 60J65, 82C22, 82C24, 82C41
Danny Nam, Allan Sly
Ann. Probab. 47 (6), 3705-3761, (November 2019) DOI: 10.1214/19-AOP1344
KEYWORDS: Markov chains, Swendsen–Wang dynamics, Potts model, Cutoff phenomenon, 60J10, 82C20, 60K35, 60B10
Vlad Bally, Lucia Caramellino
Ann. Probab. 47 (6), 3762-3811, (November 2019) DOI: 10.1214/19-AOP1346
KEYWORDS: Stochastic polynomials, Invariance principles, U-statistics, quadratic central limit theorem, abstract Malliavin calculus, 60F17, 60H07
Delphin Sénizergues
Ann. Probab. 47 (6), 3812-3865, (November 2019) DOI: 10.1214/19-AOP1348
KEYWORDS: Random metric space, Hausdorff dimension, line-breaking construction, 60D05
Gregory Lawler, Xin Sun, Wei Wu
Ann. Probab. 47 (6), 3866-3910, (November 2019) DOI: 10.1214/19-AOP1349
KEYWORDS: Loop erased random walk, escape probability, Uniform spanning forest, 60G50, 60K35
Alan Hammond
Ann. Probab. 47 (6), 3911-3962, (November 2019) DOI: 10.1214/19-AOP1350
KEYWORDS: Kardar–Parisi–Zhang universality, Brownian last passage percolation, geodesic energy, 82C22, 82B23, 60H15
Alessandra Cipriani, Biltu Dan, Rajat Subhra Hazra
Ann. Probab. 47 (6), 3963-4001, (November 2019) DOI: 10.1214/19-AOP1351
KEYWORDS: membrane model, Scaling limit, random interface, continuum membrane model, Green’s function, 31B30, 60J45, 60G15, 82C20
Tim Austin
Ann. Probab. 47 (6), 4002-4023, (November 2019) DOI: 10.1214/19-AOP1352
KEYWORDS: Nonlinear large deviations, Gibbs measures, gradient complexity, dual total correlation, mixtures of product measures, 60B99, 60G99, 82B20, 94A17
Quentin Berger, Niccolò Torri
Ann. Probab. 47 (6), 4024-4076, (November 2019) DOI: 10.1214/19-AOP1353
KEYWORDS: Directed polymer, heavy-tail distributions, weak-coupling limit, Last-passage percolation, Superdiffusivity, 60F05, 82D60, 60K37, 60G70
Pengfei Tang
Ann. Probab. 47 (6), 4077-4115, (November 2019) DOI: 10.1214/19-AOP1354
KEYWORDS: Bernoulli percolation, unimodularity, Indistinguishability, heavy clusters, quasi-transitive graph, 60K35, 82B43, 60B99, 60C05
Sébastien Martineau, Franco Severo
Ann. Probab. 47 (6), 4116-4136, (November 2019) DOI: 10.1214/19-AOP1355
KEYWORDS: percolation, critical point, strict monotonicity, covering maps, quasi-transitive graphs, 60K35, 82B43, 82B26
Alexei Borodin, Vadim Gorin
Ann. Probab. 47 (6), 4137-4194, (November 2019) DOI: 10.1214/19-AOP1356
KEYWORDS: Six-vertex model, telegraph equation, Gaussian fields, 60G60, 60H15, 35R60, 82B20
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