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    政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 >  Item 140.119/143279


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    題名: Topological entropy for shifts of finite type over Z and trees
    作者: 班榮超
    Ban, Jung-Chao
    Chang, Chih-Hung;Hu, Wen-Guei;Wu, Yu-Liang
    貢獻者: 應數系
    關鍵詞: Tree-SFT;Topological entropy
    日期: 2022-09
    上傳時間: 2023-02-06 14:12:39 (UTC+8)
    摘要: We study the topological entropy of hom tree-shifts and show that, although the topological entropy is not a conjugacy invariant for tree-shifts in general, it remains invariant for hom tree higher block shifts. In [16], [17], Petersen and Salama demonstrated the existence of topological entropy for tree-shifts and , where is the hom tree-shift derived from X. We characterize a necessary and sufficient condition when the equality holds for the case where X is a shift of finite type. Additionally, two novel phenomena have been revealed for tree-shifts. There is a gap in the set of topological entropy of hom tree-shifts of finite type, making such a set not dense. Last but not least, the topological entropy of a reducible hom tree-shift of finite type can be strictly larger than that of its maximal irreducible component.
    關聯: Theoretical Computer Science, Vol.930, pp.24-32
    資料類型: article
    DOI 連結: https://doi.org/10.1016/j.tcs.2022.07.007
    DOI: 10.1016/j.tcs.2022.07.007
    顯示於類別:[應用數學系] 期刊論文

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