VOL. 47 · NO. 4 | July 2019
 
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Frontmatter
Ann. Probab. 47 (4), (July 2019)
No abstract available
Ann. Probab. 47 (4), (July 2019)
No abstract available
Articles
Alison M. Etheridge, Thomas G. Kurtz
Ann. Probab. 47 (4), 1827-1910, (July 2019) DOI: 10.1214/18-AOP1266
KEYWORDS: population model, Moran model, Lookdown construction, genealogies, voter model, generators, stochastic equations, Lambda Fleming–Viot process, Stepping stone model, 60J25, 92D10, 92D15, 92D25, 92D40, 60F05, 60G09, 60G55, 60G57, 60H15, 60J68
Carsten Chong, Péter Kevei
Ann. Probab. 47 (4), 1911-1948, (July 2019) DOI: 10.1214/18-AOP1297
KEYWORDS: Comparison principle, Intermittency, intermittency fronts, Lévy noise, Moment Lyapunov exponents, Stochastic heat equation, Stochastic pde, 60H15, 37H15, 60G51, 35B40
David Gamarnik, Kavita Ramanan
Ann. Probab. 47 (4), 1949-1981, (July 2019) DOI: 10.1214/18-AOP1298
KEYWORDS: hardcore model, Independent set, Gibbs measures, phase transition, Partition function, linear programming polytope, volume computation, convex polytope, computational hardness, regular graphs, 60K35, 82B820, 82B27, 68W25
Andreas Eberle, Arnaud Guillin, Raphael Zimmer
Ann. Probab. 47 (4), 1982-2010, (July 2019) DOI: 10.1214/18-AOP1299
KEYWORDS: Langevin diffusion, kinetic Fokker–Planck equation, stochastic Hamiltonian dynamics, Reflection coupling, Convergence to equilibrium, hypocoercivity, quantitative bounds, Wasserstein distance, Lyapunov functions, 60J60, 60H10, 35Q84, 35B40
Jian Ding, Changji Xu
Ann. Probab. 47 (4), 2011-2048, (July 2019) DOI: 10.1214/18-AOP1300
KEYWORDS: Random walk among random obstacles, Localization, 60K37, 60H25, 60G70
Stéphane Benoist, Clément Hongler
Ann. Probab. 47 (4), 2049-2086, (July 2019) DOI: 10.1214/18-AOP1301
KEYWORDS: Ising model, phase transition, free boundary conditions, Fortuin–Kasteleyn random-cluster model, Criticality, Duality, scaling limits, conformal invariance, random curves, Schramm–Loewner evolution, Conformal loop ensembles, 60J67, 82B20, 82B27, 60K35
Ildoo Kim, Kyeong-hun Kim, Sungbin Lim
Ann. Probab. 47 (4), 2087-2139, (July 2019) DOI: 10.1214/18-AOP1303
KEYWORDS: Stochastic partial differential equations, time fractional derivatives, maximal $L_{p}$-regularity, multidimensional space–time white noise, 60H15, 35R60, 45D05
Sourav Chatterjee
Ann. Probab. 47 (4), 2140-2171, (July 2019) DOI: 10.1214/18-AOP1304
KEYWORDS: Variance lower bound, First-passage percolation, random assignment problem, stochastic minimal matching problem, stochastic traveling salesman problem, Spin glass, Sherrington–Kirkpatrick model, Random matrix, determinant, 60E15, 60C05, 60K35, 60B20
Max Fathi
Ann. Probab. 47 (4), 2172-2185, (July 2019) DOI: 10.1214/18-AOP1305
KEYWORDS: Stein’s method, central limit theorem, Optimal transport, Monge–Ampère equation, 60F05, 35J96
Márton Balázs, Firas Rassoul-Agha, Timo Seppäläinen
Ann. Probab. 47 (4), 2186-2229, (July 2019) DOI: 10.1214/18-AOP1306
KEYWORDS: Beta distribution, Doob transform, hypergeometric function, Kardar–Parisi–Zhang, KPZ, large deviations, random environment, Random walk, RWRE, wandering exponent, 60K35, 60K37
Antonio Auffinger, Aukosh Jagannath
Ann. Probab. 47 (4), 2230-2256, (July 2019) DOI: 10.1214/18-AOP1307
KEYWORDS: Spin glasses, TAP, Random measures, Ultrametricity, cluster decomposition, 82D30, 60G15
Aser Cortines, Lisa Hartung, Oren Louidor
Ann. Probab. 47 (4), 2257-2302, (July 2019) DOI: 10.1214/18-AOP1308
KEYWORDS: Branching Brownian motion, Extreme values, cluster processes, 60J80, 60G70, 60G15
Ewain Gwynne, Jason Miller
Ann. Probab. 47 (4), 2303-2358, (July 2019) DOI: 10.1214/18-AOP1309
KEYWORDS: Metric gluing, Schramm–Loewner evolution, Brownian surfaces, Liouville quantum gravity, 60D05, 60J67
Anirban Basak, Mark Rudelson
Ann. Probab. 47 (4), 2359-2416, (July 2019) DOI: 10.1214/18-AOP1310
KEYWORDS: Random matrix, sparse matrix, smallest singular value, circular law, 15B52, 60B10, 60B20
Kenneth Maples, Joseph Najnudel, Ashkan Nikeghbali
Ann. Probab. 47 (4), 2417-2458, (July 2019) DOI: 10.1214/18-AOP1311
KEYWORDS: Random matrix, circular unitary ensemble, convergence of eigenvalues, convergence of eigenvectors, virtual isometries, complex reflections, 60B20, 60F15
Alain-Sol Sznitman
Ann. Probab. 47 (4), 2459-2493, (July 2019) DOI: 10.1214/18-AOP1312
KEYWORDS: Random interlacements, Gaussian free field, percolation, large deviations, 60F10, 60K35, 60G50, 60G15, 82B43
Dmitry Dolgopyat, Ilya Goldsheid
Ann. Probab. 47 (4), 2494-2528, (July 2019) DOI: 10.1214/18-AOP1313
KEYWORDS: RWRE, random walks on a strip, invariant measure, 60K37, 60J05, 82C44
Gennady Samorodnitsky, Yizao Wang
Ann. Probab. 47 (4), 2529-2562, (July 2019) DOI: 10.1214/18-AOP1318
KEYWORDS: Extreme value theory, random sup-measure, random upper semicontinuous function, stable regenerative set, stationary infinitely divisible process, Long range dependence, weak convergence, 60G70, 60F17, 60G57
Dmitry Kramkov, Sergio Pulido
Ann. Probab. 47 (4), 2563-2581, (July 2019) DOI: 10.1214/18-AOP1321
KEYWORDS: Martingale representation property, Martingales, stochastic integrals, analytic fields, endogenous completeness, complete market, Equilibrium, 60G44, 60H05, 91B51, 91G99
Emmanuel Breuillard, Péter P. Varjú
Ann. Probab. 47 (4), 2582-2617, (July 2019) DOI: 10.1214/18-AOP1324
KEYWORDS: Bernoulli convolution, Self-similar measure, dimension, Entropy, convolution, transcendence measure, Lehmer’s conjecture, 28A80, 42A85‎
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