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    政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 >  Item 140.119/139042


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    題名: Topologically Mixing Properties of Multiplicative Integer System
    作者: 班榮超
    Ban, Jung-Chao
    Chang,  Chih-Hung
    Hu, Wen-Guei
    Lai, Guan-Yu
    Wu, Yu-Liang
    貢獻者: 應數系
    日期: 2019-11
    上傳時間: 2022-02-10 14:58:31 (UTC+8)
    摘要: Motivated from the study of multiple ergodic average, the investigation of multiplicative shift spaces has drawn much of interest among researchers. This paper focuses on the relation of topologically mixing properties between multiplicative shift spaces and traditional shift spaces. Suppose that X(l)Ω is the multiplicative subshift derived from the shift space Ω with given l>1. We show that X(l)Ω is (topologically) transitive/mixing if and only if Ω is extensible/mixing. After introducing l-directional mixing property, we derive the equivalence between l-directional mixing property of X(l)Ω and weakly mixing property of Ω.
    關聯: Real Analysis Exchange, Vol.47, No.1, pp.147-166
    資料類型: article
    DOI 連結: https://doi.org/10.14321/realanalexch.47.1.1614278701
    DOI: 10.14321/realanalexch.47.1.1614278701
    顯示於類別:[應用數學系] 期刊論文

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