Written by a team of international experts, Extremes and Recurrence in Dynamical Systems
presents a unique point of view on the mathematical theory of extremes and on its …

This paper reviews recent progress that has been made in the study of return times
distribution. We discuss recent results on the first return time for systems with various mixing …

Given an ergodic dynamical system (X, T, μ), and U⊂ X measurable with μ (U)> 0, let μ (U) τ
U (x) denote the normalized hitting time of x∈ X to U. We prove that given a sequence (U n) …

We show that distributional and weak functional limit theorems for ergodic processes often
hold for arbitrary absolutely continuous initial distributions. This principle is illustrated in the …

Previously it has been shown that some classes of mixing dynamical systems have limiting
return times distributions that are almost everywhere Poissonian. Here we study the …

In this paper we prove two results. First we show that dynamical systems with a φ-mixing
measure have in the limit Poisson distributed return times almost everywhere. We use the …

New algorithms for computing asymptotic expansions for stationary distributions of
nonlinearly perturbed semi-Markov processes are presented. The algorithms are based on …

We show that for systems that allow a Young tower construction with polynomially decaying
correlations the return times to metric balls are in the limit Poisson distributed. We also …

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