Asymptotics for hitting times

DOI10.1214/009117904000000883zbMath1065.37006arXivmath/0503655OpenAlexW2034243293MaRDI QIDQ1775444

Yves Lacroix, Michal Kupsa

Publication date: 3 May 2005

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0503655

zbMATH Keywords

asymptotic distributionRohlin towersentranceKac's townsstamps

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Dynamical systems and their relations with probability theory and stochastic processes (37A50)

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Entry times distribution for mixing systems ⋮ The general asymptotic return-time process ⋮ The compound Poisson distribution and return times in dynamical systems ⋮ Entry times distribution for dynamical balls on metric spaces ⋮ Example of a non-standard extreme-value law ⋮ Hitting times and periodicity in random dynamics ⋮ Flows of rare events for regularly perturbed semi-Markov processes ⋮ The optimal sink and the best source in a Markov chain ⋮ Asymptotic Expansions for Stationary Distributions of Perturbed Semi-Markov Processes ⋮ Return- and hitting-time distributions of small sets in infinite measure preserving systems ⋮ Thin annuli property and exponential distribution of return times for weakly Markov systems ⋮ Entry and return times distribution ⋮ Mixing limit theorems for ergodic transformations ⋮ Spontaneous clustering in theoretical and some empirical stationary processes ⋮ POISSON PROCESSES FOR SUBSYSTEMS OF FINITE TYPE IN SYMBOLIC DYNAMICS ⋮ MATRIX TECHNIQUE REPRESENTATION FOR SECOND RETURN TIME ASYMPTOTICS ⋮ Hitting and return times in ergodic dynamical systems ⋮ Return-Time Statistics, Hitting-Time Statistics and Inducing ⋮ Limiting distribution and error terms for the number of visits to balls in non-uniformly hyperbolic dynamical systems

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