VOL. 46 · NO. 4 | July 2018
 
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Frontmatter
Ann. Probab. 46 (4), (July 2018) Open Access
No abstract available
Ann. Probab. 46 (4), (July 2018) Open Access
No abstract available
Articles
Ion Grama, Ronan Lauvergnat, Émile Le Page
Ann. Probab. 46 (4), 1807-1877, (July 2018) DOI: 10.1214/17-AOP1197 Open Access
KEYWORDS: Markov chain, Random walk, Exit time, Harmonic function, limit theorem, 60G50, 60F05, 60J50, 60J05, 60J70, 60G40
Christian Döbler, Giovanni Peccati
Ann. Probab. 46 (4), 1878-1916, (July 2018) DOI: 10.1214/17-AOP1215 Open Access
KEYWORDS: Poisson functionals, multiple Wiener–Itô integrals, Fourth moment theorem, carré-du-champ operator, Berry–Esseen bounds, Gaussian approximation, gamma approximation, Malliavin calculus, Stein’s method, 60F05, 60H07, 60H05
Itai Benjamini, Elliot Paquette, Joshua Pfeffer
Ann. Probab. 46 (4), 1917-1956, (July 2018) DOI: 10.1214/17-AOP1216 Open Access
KEYWORDS: Hyperbolic space, hyperbolic geometry, Poisson process, Voronoi tiling, tessellation, isoperimetric constant, anchored isoperimetric constant, Expansion, unimodular random graph, 60D05, 60G55, 52C20
Viorel Barbu, Michael Röckner, Deng Zhang
Ann. Probab. 46 (4), 1957-1999, (July 2018) DOI: 10.1214/17-AOP1217 Open Access
KEYWORDS: Backward stochastic equation, nonlinear Schrödinger equation, optimal control, Wiener process, 60H15, 35Q40, 49K20, 35J10
David Aldous
Ann. Probab. 46 (4), 2000-2037, (July 2018) DOI: 10.1214/17-AOP1218 Open Access
KEYWORDS: random tessellation, Poisson point process, Spatial tree, Stochastic coalescence, 60D05, 60G57
Insuk Seo
Ann. Probab. 46 (4), 2038-2063, (July 2018) DOI: 10.1214/17-AOP1220 Open Access
KEYWORDS: Interacting Brownian motions, two-component system, Hydrodynamic limit, strongly coupled parabolic systems, Maxwell–Stefan equation, 82C22, 60F10, 35K55, 35Q72
Jeffrey F. Collamore, Sebastian Mentemeier
Ann. Probab. 46 (4), 2064-2120, (July 2018) DOI: 10.1214/17-AOP1221 Open Access
KEYWORDS: Random recurrence equations, stochastic fixed-point equations, Products of random matrices, Markov chain theory in general state space, nonlinear Markov renewal theory, large deviations, first passage times, conditional limit theorems, Extreme value theory, 60K15, 60F10, 60J05, 60G70, 60G17
Daniel Kious, Vladas Sidoravicius
Ann. Probab. 46 (4), 2121-2133, (July 2018) DOI: 10.1214/17-AOP1222 Open Access
KEYWORDS: Once-reinforced random walk, recurrence, transience, phase transition, 60K35
Frédérique Bassino, Mathilde Bouvel, Valentin Féray, Lucas Gerin, Adeline Pierrot
Ann. Probab. 46 (4), 2134-2189, (July 2018) DOI: 10.1214/17-AOP1223 Open Access
KEYWORDS: permutation patterns, Brownian excursion, permutons, 60C05, 05A05
Alexandre Stauffer, Lorenzo Taggi
Ann. Probab. 46 (4), 2190-2220, (July 2018) DOI: 10.1214/17-AOP1224 Open Access
KEYWORDS: interacting particle systems, Random walks, absorbing states phase transitions, 82C22, 60K35, 82C26
Ádám Timár
Ann. Probab. 46 (4), 2221-2242, (July 2018) DOI: 10.1214/17-AOP1225 Open Access
KEYWORDS: Spanning forests, Uniform spanning forest, Minimal spanning forest, insertion tolerance, Indistinguishability, 60D05, 82B43
Giulia Binotto, Ivan Nourdin, David Nualart
Ann. Probab. 46 (4), 2243-2267, (July 2018) DOI: 10.1214/17-AOP1227 Open Access
KEYWORDS: fractional Brownian motion, Stratonovich integrals, Malliavin calculus, Itô formula in law, 60G05, 60H07, 60G15, 60F17
Charles Bordenave, Pietro Caputo, Djalil Chafaï, Konstantin Tikhomirov
Ann. Probab. 46 (4), 2268-2286, (July 2018) DOI: 10.1214/17-AOP1228 Open Access
KEYWORDS: combinatorics, ‎digraph‎, spectral radius, Random matrix, heavy tail, 05C20‎, 15B52, 47A10, 05C80
Vadim Gorin, Mykhaylo Shkolnikov
Ann. Probab. 46 (4), 2287-2344, (July 2018) DOI: 10.1214/17-AOP1229 Open Access
KEYWORDS: Airy point process, Brownian bridge, Brownian excursion, Dumitriu–Edelman model, Feynman–Kac formula, Gaussian beta ensemble, Intersection local time, Moment method, path transformation, quantile transform, random matrix soft edge, random walk bridge, Stochastic Airy operator, Strong invariance principle, trace formula, Vervaat transform, 60B20, 60H25, 47D08, 60G55, 60J55
Natesh S. Pillai, Aaron Smith
Ann. Probab. 46 (4), 2345-2399, (July 2018) DOI: 10.1214/17-AOP1230 Open Access
KEYWORDS: Markov chain, Gibbs sampler, coupling, Mixing times, Kac’s random walk, 60J10, 60J20
Errata
Russell Lyons
Ann. Probab. 46 (4), 2400-2405, (July 2018) DOI: 10.1214/17-AOP1233 Open Access
KEYWORDS: Negative type, Hypothesis testing, independence, Distance correlation, Brownian covariance, 62H20, 62G20, 51K99, 62H15, 30L05
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