Statistics of return times: A general framework and new applications
type: Item
instance of: scholarly article
title: Statistics of return times: A general framework and new applications
zbMATH Open document ID: 0955.37001
author: Masaki Hirata
author: Benoit Saussol
author: Sandro Vaienti
published in: Communications in Mathematical Physics
publication date: 2001-02-20T00:00:00Z
review text: The authors provide general estimates for the error between the distribution of the first, and more generally, the \(K\)th return time (suitably rescaled) and the Poisson law for measurable dynamical systems. In the case that the system exhibits strong mixing properties, these bounds are explicitly expressed in terms of the speed of mixing. Using these approximations, the Poisson law is finally proved to hold for a large class of nonhyperbolic systems on the interval.
reviewed by: Ilya Pavlyukevich
Mathematics Subject Classification ID: 37A25
Mathematics Subject Classification ID: 28D05
Mathematics Subject Classification ID: 37D20
Mathematics Subject Classification ID: 37E05
Mathematics Subject Classification ID: 60F05
zbMATH DE Number: 1382927
zbMATH Keywords: measurable dynamical systems
zbMATH Keywords: strong mixing
zbMATH Keywords: return time
zbMATH Keywords: Poisson law
MaRDI profile type: Publication
Wikidata QID: Q105584589
full work available at URL: s002200050697
OpenAlex ID: W2093175845
DOI: 10.1007/S002200050697
description: scientific article; zbMATH DE number 1382927