Q-entropy for general topological dynamical systems
type: Item
instance of: scholarly article
title: Q-entropy for general topological dynamical systems
zbMATH Open document ID: 1411.37016
author: Yun Zhao
author: Wen-Chiao Cheng
author: Chih-Chang Ho
published in: Discrete and Continuous Dynamical Systems
publication date: 2019-03-26T00:00:00Z
review text: The paper extends the \(q\)-entropy theory from symbolic to general topological dynamical systems. Specifically, by means of a weak Gibbs measure, the authors define the \(q\)-topological entropy and the \(q\)-metric entropy, and then study their basic properties. In particular, they describe the relationships between \(q\)-topological entropy and topological pressure for almost additive potentials, and between \(q\)-metric entropy and local metric entropy.
Mathematics Subject Classification ID: 37B40
Mathematics Subject Classification ID: 37B10
Mathematics Subject Classification ID: 28D20
zbMATH DE Number: 7042666
zbMATH Keywords: entropy
zbMATH Keywords: Gibbs measure
zbMATH Keywords: Hentschel-Procaccia spectrum
zbMATH Keywords: topological pressure
zbMATH Keywords: bounded distortion
reviewed by: George Stoica
MaRDI profile type: Publication
full work available at URL: dcds.2019086
OpenAlex ID: W2909144728
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Wikidata QID: Q128549575
DOI: 10.3934/DCDS.2019086
description: scientific article; zbMATH DE number 7042666