On dynamics of mostly contracting diffeomorphisms
type: Item
instance of: scholarly article
title: On dynamics of mostly contracting diffeomorphisms
zbMATH Open document ID: 0964.37020
author: D. Dolgopyat
published in: Communications in Mathematical Physics
publication date: 2001-07-16T00:00:00Z
review text: Mostly contracting diffeomorphisms are the simplest examples of robustly nonuniformly hyperbolic systems. The paper studies the mixing properties of mostly contracting diffeomorphisms of a three-dimensional manifold. In particular, sufficient conditions for statistical stability are provided. Conditions for some other statistical properties are also given, e.g. for existence of a global attractor and non-zero Lyapunov exponents, etc.
reviewed by: S. Yanchuk
Mathematics Subject Classification ID: 37D30
Mathematics Subject Classification ID: 37C40
Mathematics Subject Classification ID: 37A25
zbMATH DE Number: 1529603
zbMATH Keywords: mostly contracting diffeomorphisms
zbMATH Keywords: nonuniformly hyperbolic systems
zbMATH Keywords: mixing
MaRDI profile type: Publication
full work available at URL: s002200000238
OpenAlex ID: W1978478425
Wikidata QID: Q125683728
DOI: 10.1007/S002200000238
description: scientific article; zbMATH DE number 1529603