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 …

We present some recurrence results in the context of ergodic theory and dynamical systems.
The main focus will be on smooth dynamical systems, in particular, those with some …

A l'origine physiques, les échelons territoriaux intègrent progressivement les TIC. Ces
dernières brouillent les découpages administratifs et favorisent l'émergence de territoires …

The main results of the extreme value theory developed for the investigation of the
observables of dynamical systems rely, up to now, on the block maxima approach. In this …

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) …

This book is devoted to the subject commonly called Chaotic Dynamics, namely the study of
complicated behavior in time of maps and? ows, called dynamical systems. The theory of …

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 …

We study the dynamics of a transformation that acts on infinite paths in the graph associated
with Pascal's triangle. For each ergodic invariant measure the asymptotic law of the return …

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 …