Some relations between Hausdorff-dimensions and entropies
type: Item
instance of: scholarly article
title: Some relations between Hausdorff-dimensions and entropies
zbMATH Open document ID: 0918.58039
DOI: 10.1007/BF02871841
author: Xiongping Dai
author: Xiangyi Geng
author: Zuoling Zhou
published in: Science in China. Series A
publication date: 1999-08-19T00:00:00Z
review text: Using ergodic theory and the method of local entropy, the authors get some relations between the Hausdorff dimensions and the entropies of the invariant measures for an expansive homeomorphism. Moreover, they present an equivalent condition of zero entropy for expansive homeomorphisms.
Mathematics Subject Classification ID: 37A99
Mathematics Subject Classification ID: 37C70
zbMATH DE Number: 1281451
zbMATH Keywords: local entropy
zbMATH Keywords: Hausdorff dimension
zbMATH Keywords: invariant measures
zbMATH Keywords: expansive homeomorphism
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02871841
OpenAlex ID: W1970734376
description: scientific article; zbMATH DE number 1281451