On expanding endomorphisms of the circle. II
type: Item
instance of: scholarly article
zbMATH Open document ID: 0990.37025
publication date: 2001-09-04T00:00:00Z
Mathematics Subject Classification ID: 37E10
Mathematics Subject Classification ID: 37A35
Mathematics Subject Classification ID: 37F15
zbMATH DE Number: 1599021
zbMATH Keywords: weak isomorphism
zbMATH Keywords: Lebesgue measure-preserving expanding endomorphisms
MaRDI profile type: Publication
author: R. Cowen
author: P. H. Fisher
title: On expanding endomorphisms of the circle. II
published in: Houston Journal of Mathematics
review text: This paper deals with the problem of finding complete measure theoretic invariants for isomorphisms. Note that in his well-known work the first author gave necessary and sufficient conditions for two real analytic Lebesgue measure-preserving expanding endomorphisms of the circle to be isomorphic up to phase factor [Part I, J. Lond. Math. Soc. (2) 41, 272-282 (1990; Zbl 0666.58036) and Ill. J. Math. 44, 516-519 (2000; Zbl 0967.37027)]. Here the authors give sufficient conditions for weak isomorphism of Lebesgue measure-preserving expanding endomorphisms of \(S^1\) giving a partial answer to a question of \textit{M. Shub} and \textit{D. P. Sullivan} [Ergodic Theory Dyn. Syst. 5, 285-289 (1985; Zbl 0583.58022)].
reviewed by: Messoud Efendiev
description: scientific article; zbMATH DE number 1599021