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    政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 >  Item 140.119/130214


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    題名: Tree-shifts: The entropy of tree-shifts of finite type
    作者: 班榮超
    Ban, Jung-Chao
    Chang, Chih-Hung
    貢獻者: 應數系
    日期: 2017-06
    上傳時間: 2020-06-22 13:45:44 (UTC+8)
    摘要: This paper studies the entropy of tree-shifts of finite type with and without boundary conditions. We demonstrate that computing the entropy of a tree-shift of finite type is equivalent to solving a system of nonlinear recurrence equations. Furthermore, the entropy of the binary Markov tree-shifts over two symbols is either 0 or ln 2. Meanwhile, the realization of a class of reals including multinacci numbers is elaborated, which indicates that tree-shifts are capable of rich phenomena. By considering the influence of three different types of boundary conditions, say, the periodic, Dirichlet, and Neumann boundary conditions, the necessary and sufficient conditions for the coincidence of entropy with and without boundary conditions are addressed.
    關聯: Nonlinearity, Vol.30, No.7, pp.2785
    資料類型: article
    DOI 連結: https://doi.org/10.1088/1361-6544/aa72c0
    DOI: 10.1088/1361-6544/aa72c0
    顯示於類別:[應用數學系] 期刊論文

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