Quantitative recurrence in two-dimensional extended processes

DOI10.1214/08-AIHP195zbMath1230.37017arXiv0709.2597OpenAlexW2012440868MaRDI QIDQ985344

Benoît Saussol, Françoise Pène

Publication date: 21 July 2010

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.2597

zbMATH Keywords

recurrencesubshift of finite typerandom walklocal limit theoremreturn time

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (6)

Quantitative recurrence of some dynamical systems preserving an infinite measure in dimension one ⋮ Recurrence rates and hitting-time distributions for random walks on the line ⋮ Return- and hitting-time limits for rare events of null-recurrent Markov maps ⋮ Return- and hitting-time distributions of small sets in infinite measure preserving systems ⋮ Back to balls in billiards ⋮ Infinite measure mixing for some mechanical systems

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