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https://ah.lib.nccu.edu.tw/handle/140.119/137561
題名: | 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 |
貢獻者: | 應數系 | 關鍵詞: | Tree-SFT ; Topological entropy | 日期: | 八月-2021 | 上傳時間: | 27-十月-2021 | 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≤qh(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 [dlog2,∞), numerical experiments suggest its complement contain open intervals. | 關聯: | Journal of Differential Equations, 292, 325-353 | 資料類型: | article | DOI: | https://doi.org/10.1016/j.jde.2021.05.016 |
Appears in Collections: | 期刊論文 |
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