dc.contributor | 應數系 | |
dc.creator (作者) | 班榮超 | |
dc.creator (作者) | Ban, Jung-Chao | |
dc.creator (作者) | Chih-HungChang | |
dc.creator (作者) | Wen-GueiHu | |
dc.creator (作者) | Yu-LiangWu | |
dc.date (日期) | 2021-08 | |
dc.date.accessioned | 27-Oct-2021 11:00:06 (UTC+8) | - |
dc.date.available | 27-Oct-2021 11:00:06 (UTC+8) | - |
dc.date.issued (上傳時間) | 27-Oct-2021 11:00:06 (UTC+8) | - |
dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/137561 | - |
dc.description.abstract (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. | |
dc.format.extent | 691234 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.relation (關聯) | Journal of Differential Equations, 292, 325-353 | |
dc.subject (關鍵詞) | Tree-SFT ; Topological entropy | |
dc.title (題名) | On structure of topological entropy for tree-shifts of finite type | |
dc.type (資料類型) | article | |
dc.identifier.doi (DOI) | 10.1016/j.jde.2021.05.016 | |
dc.doi.uri (DOI) | https://doi.org/10.1016/j.jde.2021.05.016 | |