Some properties on topological entropy of free semigroup action

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Title:	Some properties on topological entropy of free semigroup action
Authors:	Tang, JR (Tang, Jingru) Li, B (Li, Bing) Cheng, WC (Cheng, Wen-Chiao)
Contributors:	應數系
Keywords:	SYSTEMS
Date:	2018
Issue Date:	2019-01-23 10:39:52 (UTC+8)
Abstract:	The aim of this paper is to examine the topological entropy for a free semigroup action defined by Bufetov using separated and spanning sets. First, this study reveals that such entropy is a topological conjugacy invariant and also can be equivalently defined using open covers. Furthermore, a quantitative analogue of Bowen's theorem for semiconjugacy is provided and we compared the topological entropies presented by Bufetov and Bi. Finally, a formula for the entropy of skew-product transformation with respect to the subshift is obtained.
Appears in Collections:	[Department of Applied Mathematics] journal articles

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