Topological entropy of free semigroup actions for noncompact sets
type: Item
instance of: scholarly article
title: Topological entropy of free semigroup actions for noncompact sets
zbMATH Open document ID: 1417.37082
author: Yujun Ju
author: Dongkui Ma
author: Yupan Wang
published in: Discrete and Continuous Dynamical Systems
publication date: 2019-01-04T00:00:00Z
review text: The authors introduce and investigate the notions of topological entropy and lower and upper capacity topological entropies of a free semigroup action by using the Carathéodory-Pesin structure, which extends the notion of topological entropy of a free semigroup action defined by \textit{A. Bufetov} [J. Dyn. Control Syst. 5, No. 1, 137--143 (1999; Zbl 0949.37001)].
Mathematics Subject Classification ID: 37B40
Mathematics Subject Classification ID: 20M05
Mathematics Subject Classification ID: 28D20
zbMATH DE Number: 6997702
zbMATH Keywords: free semigroup actions
zbMATH Keywords: topological entropy
zbMATH Keywords: skew-product
zbMATH Keywords: local entropy
zbMATH Keywords: Hausdorff dimension
reviewed by: Nilson C. jun. Bernardes
MaRDI profile type: Publication
full work available at URL: dcds.2019041
OpenAlex ID: W2899661907
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Wikidata QID: Q128931005
DOI: 10.3934/DCDS.2019041
description: scientific article; zbMATH DE number 6997702