Rigidity of smooth one-sided Bernoulli endomorphisms
type: Item
instance of: scholarly article
title: Rigidity of smooth one-sided Bernoulli endomorphisms
zbMATH Open document ID: 1189.37002
author: Henk Bruin
author: Jane Hawkins
published in: The New York Journal of Mathematics
publication date: 2009-12-09T00:00:00Z
full work available at URL: https://eudml.org/doc/230239
full work available at URL: 15-26.html
review text: One says that a measure-preserving endomorphism is one-sided Bernoulli if it is isomorphic to an invertible Bernoulli shift. The authors show that in the case of piecewise smooth endomorphisms the one-sided Bernoulli property is much stronger than the usual weak Bernoulli property and illustrate this on certain families of interval maps and complex maps on the Riemann sphere.
reviewed by: Michael L. Blank
Mathematics Subject Classification ID: 37A05
Mathematics Subject Classification ID: 37A10
Mathematics Subject Classification ID: 37C40
zbMATH DE Number: 5644616
zbMATH Keywords: Bernoulli shifts
zbMATH Keywords: one-sided Bernoulli
zbMATH Keywords: noninvertible maps
zbMATH Keywords: interval maps
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5644616