VOL. 45 · NO. 2 | March 2017
Ann. Probab. 45 (2), (March 2017)
No abstract available
Ann. Probab. 45 (2), (March 2017)
No abstract available
Siva Athreya, Wolfgang Löhr, Anita Winter
Ann. Probab. 45 (2), 625-667, (March 2017) DOI: 10.1214/15-AOP1071
KEYWORDS: Brownian motion, $\mathbb{R}$-tree, Gromov–Hausdorff-vague topology, convergence of Markov chains, diffusions on metric measure trees, Speed measure, Dirichlet form, 60J65, 60B05, 60J25, 60J27, 60J80, 60B99, 58J65
Marco Barchiesi, Alessio Brancolini, Vesa Julin
Ann. Probab. 45 (2), 668-697, (March 2017) DOI: 10.1214/15-AOP1072
KEYWORDS: quantitative estimates, Gaussian isoperimetric inequality, 49Q20, 60E15
Antti Kemppainen, Stanislav Smirnov
Ann. Probab. 45 (2), 698-779, (March 2017) DOI: 10.1214/15-AOP1074
KEYWORDS: Random curve, lattice model, weak convergence of probability measures, Schramm–Loewner evolution, Brownian motion, conformal mapping, 60D05, 60K35, 82B20, 82B31, 30C35
Anirban Basak, Amir Dembo
Ann. Probab. 45 (2), 780-823, (March 2017) DOI: 10.1214/15-AOP1075
KEYWORDS: Ising model, random sparse graphs, Gibbs measures, Local weak convergence, 05C05, 05C80, 05C81, 60J80, 82B20, 82B26
Rainer Buckdahn, Juan Li, Shige Peng, Catherine Rainer
Ann. Probab. 45 (2), 824-878, (March 2017) DOI: 10.1214/15-AOP1076
KEYWORDS: Mean-field stochastic differential equation, McKean–Vlasov equation, value function, PDE of mean-field type, 60H10, 60K35
Xinyi Li
Ann. Probab. 45 (2), 879-931, (March 2017) DOI: 10.1214/15-AOP1077
KEYWORDS: large deviations, Random walk, Random interlacements, 60F10, 60K35, 60J27, 82B43
Adrien Kassel, Richard Kenyon
Ann. Probab. 45 (2), 932-964, (March 2017) DOI: 10.1214/15-AOP1078
KEYWORDS: Laplacian, cycle-rooted spanning forests, Loop-erased random walk, Scaling limit, 82B20
Konstantin Tikhomirov, Pierre Youssef
Ann. Probab. 45 (2), 965-1002, (March 2017) DOI: 10.1214/15-AOP1079
KEYWORDS: Convex hull, Random walk, covering time, 52A22, 60J05, 60J65
Natesh S. Pillai, Aaron Smith
Ann. Probab. 45 (2), 1003-1070, (March 2017) DOI: 10.1214/15-AOP1080
KEYWORDS: Ising models, interacting particle systems, Mixing times, Coalescent process, north-east model, 60J10, 60J20
Kai Krokowski, Anselm Reichenbachs, Christoph Thäle
Ann. Probab. 45 (2), 1071-1109, (March 2017) DOI: 10.1214/15-AOP1081
KEYWORDS: Berry–Esseen bound, central limit theorem, Malliavin–Stein method, Mehler’s formula, percolation, Rademacher functional, random graph, sub-graph count, tree, 05C80, 60F05, 60H07, 82B43
Vlad Bally, Lucia Caramellino
Ann. Probab. 45 (2), 1110-1159, (March 2017) DOI: 10.1214/15-AOP1082
KEYWORDS: Regularity of probability laws, Orlicz spaces, Hermite polynomials, interpolation spaces, Malliavin calculus, Integration by parts formulas, 46B70, 60H07
Robert J. Adler, Gennady Samorodnitsky
Ann. Probab. 45 (2), 1160-1189, (March 2017) DOI: 10.1214/15-AOP1083
KEYWORDS: Gaussian process, excursion set, large deviations, exceedence probabilities, topology, 60G15, 60F10, 60G60, 60G70, 60G17
Amir Dembo, Andrea Montanari, Subhabrata Sen
Ann. Probab. 45 (2), 1190-1217, (March 2017) DOI: 10.1214/15-AOP1084
KEYWORDS: Max-cut, bisection, Erdős–Rényi graph, Regular graph, Ising model, Spin glass, Parisi formula, 05C80, 68R10, 82B44
Christophe Leuridan
Ann. Probab. 45 (2), 1218-1246, (March 2017) DOI: 10.1214/15-AOP1085
KEYWORDS: Filtrations indexed by the nonpositive integers, product-type filtrations, Standard filtrations, complementability, maximality, Exchange property, 60J05
Sébastien Martineau, Vincent Tassion
Ann. Probab. 45 (2), 1247-1277, (March 2017) DOI: 10.1214/15-AOP1086
KEYWORDS: percolation, Abelian groups, Graph limits, locality, 60K35, 82B43, 82B20, 05C25
Shuyang Bai, Murad S. Taqqu
Ann. Probab. 45 (2), 1278-1324, (March 2017) DOI: 10.1214/15-AOP1087
KEYWORDS: long memory, Self-similar processes, Rosenblatt processes, generalized Rosenblatt processes, 60F05, 60K35
Franco Flandoli, Benjamin Gess, Michael Scheutzow
Ann. Probab. 45 (2), 1325-1350, (March 2017) DOI: 10.1214/16-AOP1088
KEYWORDS: synchronization, Random dynamical system, random attractor, order-preserving RDS, Stochastic differential equation, statistical equilibrium, 37B25, 37G35, 37H15
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