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    請使用永久網址來引用或連結此文件: https://irlib.pccu.edu.tw/handle/987654321/41964


    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.
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