| 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) | 2020-06 | |
| dc.date.accessioned | 25-Jan-2021 14:25:09 (UTC+8) | - |
| dc.date.available | 25-Jan-2021 14:25:09 (UTC+8) | - |
| dc.date.issued (上傳時間) | 25-Jan-2021 14:25:09 (UTC+8) | - |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/133716 | - |
| dc.description.abstract (摘要) | This paper considers the topological degree of G-shifts of finite type for the case where G is a finitely generated free group. Topological degree is the logarithm of entropy dimension; that is, topological degree is a characterization for zero entropy systems. Following the conjugacy-invariance of topological degree, we show that it is equivalent to solving a system of nonlinear recurrence equations. More explicitly, the topological degree of G-shift of finite type is achieved as the maximal spectral radius of a collection of matrices corresponding to the shift itself. | |
| dc.format.extent | 280522 bytes | - |
| dc.format.mimetype | application/pdf | - |
| dc.relation (關聯) | AIMS Mathematics, 2020, Volume 5, Issue 5, 5121-5139 | |
| dc.subject (關鍵詞) | topological degree;entropy dimension;free group;finitely generated group;Cayley graph;conjugacy-invariant | |
| dc.title (題名) | Entropy Dimension of Shifts of Finite Type on Free Groups | |
| dc.type (資料類型) | article | |
| dc.identifier.doi (DOI) | 10.3934/math.2020329 | |
| dc.doi.uri (DOI) | https://doi.org/10.3934/math.2020329 | |
