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https://irlib.pccu.edu.tw/handle/987654321/41964
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題名: | Some properties on topological entropy of free semigroup action |
作者: | Tang, JR (Tang, Jingru) Li, B (Li, Bing) Cheng, WC (Cheng, Wen-Chiao) |
貢獻者: | 應數系 |
關鍵詞: | SYSTEMS |
日期: | 2018 |
上傳時間: | 2019-01-23 10:39:52 (UTC+8) |
摘要: | 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. |
顯示於類別: | [應數系] 期刊論文
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