VOL. 45 · NO. 3 | May 2017
Ann. Probab. 45 (3), (May 2017) Open Access
No abstract available
Ann. Probab. 45 (3), (May 2017) Open Access
No abstract available
Ron Peled
Ann. Probab. 45 (3), 1351-1447, (May 2017) DOI: 10.1214/16-AOP1089 Open Access
KEYWORDS: Random Lipschitz functions, homomorphism height functions, proper 3-colorings, random graph homomorphism, anti-ferromagnetic Potts model, Localization, rigidity, roughening transition, odd cutsets, Kotecký conjecture, 82B20, 82B26, 82B41, 60C05, 60D05, 05A16
Riddhipratim Basu, Jonathan Hermon, Yuval Peres
Ann. Probab. 45 (3), 1448-1487, (May 2017) DOI: 10.1214/16-AOP1090 Open Access
KEYWORDS: Cutoff, Mixing-time, Finite reversible Markov chains, hitting times, trees, maximal inequality, 60J10
Vlad Bally, Lucia Caramellino
Ann. Probab. 45 (3), 1488-1511, (May 2017) DOI: 10.1214/16-AOP1092 Open Access
KEYWORDS: Malliavin calculus, local integration by parts formulas, total variation distance, variance of the Brownian path, 60H07, 60H30
Simon Campese
Ann. Probab. 45 (3), 1512-1542, (May 2017) DOI: 10.1214/16-AOP1093 Open Access
KEYWORDS: Kailath–Segall identity, Brownian local time, central limit theorem, asymptotic Ray–Knight theorem, 60F05, 60G44, 60H05
Mustazee Rahman, Bálint Virág
Ann. Probab. 45 (3), 1543-1577, (May 2017) DOI: 10.1214/16-AOP1094 Open Access
KEYWORDS: Independent set, Local algorithm, Factor of i.i.d., Random graphs, 60G10, 05C80, 05C69, 68W20
Christophe Cuny
Ann. Probab. 45 (3), 1578-1611, (May 2017) DOI: 10.1214/16-AOP1095 Open Access
KEYWORDS: Banach valued processes, compact law of the iterated logarithm, Invariance principles, Maxwell–Woodroofe’s condition, 60F17, 60F25, 60B12, 37A50
Daniel Kane
Ann. Probab. 45 (3), 1612-1679, (May 2017) DOI: 10.1214/16-AOP1097 Open Access
KEYWORDS: Polynomial decompositions, Gaussian chaos, anticoncentration, invariance principle, 60G15, 68R05
Emmanuel Jacob, Peter Mörters
Ann. Probab. 45 (3), 1680-1722, (May 2017) DOI: 10.1214/16-AOP1098 Open Access
KEYWORDS: spatial network, Scale-free network, clustering, Barabási–Albert model, preferential attachment, geometric random graph, power-law, Giant component, robustness, phase transition, continuum percolation, disjoint occurrence, BK-inequality, 05C80, 60C05, 90B15
François Baccelli, Mir-Omid Haji-Mirsadeghi
Ann. Probab. 45 (3), 1723-1751, (May 2017) DOI: 10.1214/16-AOP1099 Open Access
KEYWORDS: point process, stationarity, Palm probability, point-shift, point-map, allocation rule, vague topology, Mass transport principle, dynamical system, $\omega$-limit set, 60G10, 60G55, 60G57, 60G30, 60F17
Anna Ben-Hamou, Justin Salez
Ann. Probab. 45 (3), 1752-1770, (May 2017) DOI: 10.1214/16-AOP1100 Open Access
KEYWORDS: Cutoff phenomenon, Nonbacktracking random walks, Random graphs, 60J10, 60G50, 05C80, 05C81
Ivan Corwin, Li-Cheng Tsai
Ann. Probab. 45 (3), 1771-1798, (May 2017) DOI: 10.1214/16-AOP1101 Open Access
KEYWORDS: Exclusion processes, Hopf–Cole transform, higher-spin, Kardar–Parisi–Zhang equation, Stochastic heat equation, 60K35, 82C22, 82C23
Xicheng Zhang
Ann. Probab. 45 (3), 1799-1841, (May 2017) DOI: 10.1214/16-AOP1102 Open Access
KEYWORDS: Hörmander condition, fundamental solution, Malliavin calculus with jumps, nonlocal kinetic Fokker–Planck operator, Poisson functional, 60H07, 60H10, 60H30
Artem Sapozhnikov
Ann. Probab. 45 (3), 1842-1898, (May 2017) DOI: 10.1214/16-AOP1103 Open Access
KEYWORDS: percolation, Random walk, heat kernel, Harnack inequality, Harmonic function, local limit theorem, Poincaré inequality, Isoperimetric inequality, long-range correlations, Random interlacements, Gaussian free field, 60K37, 58J35
Balázs Ráth, Daniel Valesin
Ann. Probab. 45 (3), 1899-1951, (May 2017) DOI: 10.1214/16-AOP1104 Open Access
KEYWORDS: interacting particle systems, voter model, percolation, 60K35, 82C22, 82B43
Steffen Dereich, Leif Döring, Andreas E. Kyprianou
Ann. Probab. 45 (3), 1952-2003, (May 2017) DOI: 10.1214/16-AOP1105 Open Access
KEYWORDS: self-similar process, Markov additive process, fluctuation theory, 60G18, 60G51, 60B10, 60J45
Takashi Owada, Robert J. Adler
Ann. Probab. 45 (3), 2004-2055, (May 2017) DOI: 10.1214/16-AOP1106 Open Access
KEYWORDS: point process, Poisson random measure, Extreme value theory, regular variation, Čech complex, Betti number, topological data analysis, crackle, geometric graph, 60G70, 60K35, 60G55, 60D05, 60F05, 55U10
Timo Seppäläinen
Ann. Probab. 45 (3), 2056-2058, (May 2017) DOI: 10.1214/16-AOP1096 Open Access
No abstract available
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