A continuous one-dimensional mapping without a measure with maximal entropy
type: Item
instance of: scholarly article
title: A continuous one-dimensional mapping without a measure with maximal entropy
zbMATH Open document ID: 0622.58022
DOI: 10.1007/BF01077271
author: B. M. Gurevich
author: A. S. Zargaryan
publication date: 1986-01-01T00:00:00Z
review text: The authors construct a continuous, topologically transitive, and piecewise monotone map of a compact interval which has finite topological entropy but does not have a measure with maximal entropy.
Mathematics Subject Classification ID: 37A99
zbMATH DE Number: 4009380
zbMATH Keywords: 1-dimensional mapping
zbMATH Keywords: metric entropy
zbMATH Keywords: maximal measure
zbMATH Keywords: topological entropy
reviewed by: J.Šiška
MaRDI profile type: Publication
cites work: On intrinsic ergodicity of piecewise monotonic transformations with positive entropy
published in: Functional Analysis and Its Applications
description: scientific article; zbMATH DE number 4009380