Please use this identifier to cite or link to this item:
https://ah.lib.nccu.edu.tw/handle/140.119/137558
題名: | Characterization for entropy of shifts of finite type on Cayley trees | 作者: | 班榮超 Ban, Jung-Chao Chang, Chih-Hung |
貢獻者: | 應數系 | 日期: | Jul-2020 | 上傳時間: | 27-Oct-2021 | 摘要: | The notion of tree-shifts constitutes an intermediate class between one-sided shift spaces and multidimensional ones. This paper proposes an algorithm for computing the entropy of a tree-shift of finite type. Meanwhile, the entropy of a tree-shift of finite type is 1plnλ1plnλ?--> for some p∈Np∈N?--> , where λ is a Perron number. This extends Lind`s work (1984 Ergod. Theor. Dynam. Syst. 4 283-300) on one-dimensional shifts of finite type. As an application, the entropy minimality problem is investigated, and we obtain a necessary and sufficient condition for a tree-shift of finite type to be entropy-minimal with some additional conditions. *This work is partially supported by the Ministry of Science and Technology, ROC | 關聯: | Journal of Statistical Mechanics, Vol.2020, No.7, pp.073412 | 資料類型: | article | DOI: | https://doi.org/10.1088/1742-5468/aba0a0 |
Appears in Collections: | 期刊論文 |
Show full item record
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.