Computing invariant densities and metric entropy
type: Item
instance of: scholarly article
title: Computing invariant densities and metric entropy
zbMATH Open document ID: 0962.37002
author: Mark Pollicott
author: Oliver Jenkinson
published in: Communications in Mathematical Physics
publication date: 2000-10-22T00:00:00Z
review text: This paper deals with the absolutely continuous invariant measure \(\mu\) for a piecewise analytic expanding Markov map \(T\) of the interval. The authors present a method for accurately computing the Lyapunov exponent of \(\mu\). The authors construct atomic signed measures \(\mu_M\) supported on periodic orbits up to period \(M\), and prove that \(\int\log|T'|d\mu_M\to h(\mu)\) super-exponentially fast. Moreover they provide numerous examples.
Mathematics Subject Classification ID: 37A35
Mathematics Subject Classification ID: 37E05
Mathematics Subject Classification ID: 37A05
Mathematics Subject Classification ID: 37D25
zbMATH DE Number: 1520503
zbMATH Keywords: Markov maps
zbMATH Keywords: expanding map
zbMATH Keywords: invariant measure
zbMATH Keywords: periodic orbit
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: s002200050832
OpenAlex ID: W2033700623
DOI: 10.1007/S002200050832
description: scientific article; zbMATH DE number 1520503