| 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.creator (作者) | Huang, Nai-Zhu | |
| dc.date (日期) | 2020-06 | |
| dc.date.accessioned | 25-Jan-2021 14:24:49 (UTC+8) | - |
| dc.date.available | 25-Jan-2021 14:24:49 (UTC+8) | - |
| dc.date.issued (上傳時間) | 25-Jan-2021 14:24:49 (UTC+8) | - |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/133715 | - |
| dc.description.abstract (摘要) | We consider the entropy dimension of G-shifts of finite type for the case where G is a non-Abelian monoid. Entropy dimension tells us whether a shift space has zero topological entropy. Suppose the Cayley graph CG of G has a finite representation (that is, {CgG : g ∈ G} is a finite set up to graph isomorphism), and relations among generators of G are determined by a matrix A. We reveal an association between the characteristic polynomial of A and the finite representation of the Cayley graph. After introducing an algorithm for the computation of the entropy dimension, the set of entropy dimensions is related to a collection of matrices in which the sum of each row of every matrix is bounded by the number of leaves of the graph. Furthermore, the algorithm extends to G having finitely many free-followers. | |
| dc.format.extent | 537070 bytes | - |
| dc.format.mimetype | application/pdf | - |
| dc.relation (關聯) | Journal of Mathematical Physics, 61, 072702 | |
| dc.title (題名) | Entropy Dimension of Shift Spaces on Monoids | |
| dc.type (資料類型) | article | |
| dc.identifier.doi (DOI) | 10.1063/1.5124073 | |
| dc.doi.uri (DOI) | https://doi.org/10.1063/1.5124073 | |
