| dc.contributor | 應數系 | |
| dc.creator (作者) | 班榮超 | |
| dc.creator (作者) | Ban, Jung-Chao | |
| dc.creator (作者) | Chang, Chih-Hung | |
| dc.date (日期) | 2020-07 | |
| dc.date.accessioned | 27-Oct-2021 10:59:24 (UTC+8) | - |
| dc.date.available | 27-Oct-2021 10:59:24 (UTC+8) | - |
| dc.date.issued (上傳時間) | 27-Oct-2021 10:59:24 (UTC+8) | - |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/137558 | - |
| dc.description.abstract (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 | |
| dc.format.extent | 226479 bytes | - |
| dc.format.mimetype | application/pdf | - |
| dc.relation (關聯) | Journal of Statistical Mechanics, Vol.2020, No.7, pp.073412 | |
| dc.title (題名) | Characterization for entropy of shifts of finite type on Cayley trees | |
| dc.type (資料類型) | article | |
| dc.identifier.doi (DOI) | 10.1088/1742-5468/aba0a0 | |
| dc.doi.uri (DOI) | https://doi.org/10.1088/1742-5468/aba0a0 | |
