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    题名: On structure of topological entropy for tree-shifts of finite type
    作者: 班榮超
    Ban, Jung-Chao 
    Chih-HungChang
    Wen-GueiHu
    Yu-LiangWu
    贡献者: 應數系
    关键词: Tree-SFT;Topological entropy
    日期: 2021-08
    上传时间: 2021-10-27 11:00:06 (UTC+8)
    摘要: This paper deals with the topological entropy for hom Markov shifts TM on d-tree. If M is a reducible adjacency matrix with q irreducible components M1,⋯,Mq, we show that h(TM)=max1≤i≤q⁡h(TMi) fails generally, and present a case study with full characterization in terms of the equality. Though that it is likely the sets {h(TM):M is binary and irreducible} and {h(TX):X is a one-sided shift} are not coincident, we show the two sets share the common closure. Despite the fact that such closure is proved to contain the interval [dlog⁡2,∞), numerical experiments suggest its complement contain open intervals.
    關聯: Journal of Differential Equations, 292, 325-353
    数据类型: article
    DOI 連結: https://doi.org/10.1016/j.jde.2021.05.016
    DOI: 10.1016/j.jde.2021.05.016
    显示于类别:[應用數學系] 期刊論文

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