| Title: | Characterization for entropy of shifts of finite type on Cayley trees |
| Authors: | 班榮超
Ban, Jung-Chao
Chang, Chih-Hung |
| Contributors: | 應數系 |
| Keywords: | network dynamics;nonlinear dynamics |
| Date: | 2020-06 |
| Issue Date: | 2021-01-25 14:24:21 (UTC+8) |
| Abstract: | 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 for some , 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. |
| Relation: | Journal of Statistical Mechanics(2020) 073412 |
| Data Type: | article |
| DOI 連結: | https://doi.org/10.1088/1742-5468/aba0a0 |
| Appears in Collections: | [應用數學系] 期刊論文
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