| dc.contributor | 應數系 | - |
| dc.creator (作者) | 班榮超 | - |
| dc.creator (作者) | Ban, Jung-Chao;Lai, Guan-Yu;Tsai, Cheng-Yu | - |
| dc.date (日期) | 2025-08 | - |
| dc.date.accessioned | 21-Aug-2025 09:34:37 (UTC+8) | - |
| dc.date.available | 21-Aug-2025 09:34:37 (UTC+8) | - |
| dc.date.issued (上傳時間) | 21-Aug-2025 09:34:37 (UTC+8) | - |
| dc.identifier.uri (URI) | https://nccur.lib.nccu.edu.tw/handle/140.119/158887 | - |
| dc.description.abstract (摘要) | The strip entropy is studied in this article. First, we prove that the strip entropy approximation is valid for some ray of Markov tree-shifts on Markov-Cayley trees. This result extends the previous result of [Petersen-Salama, Discrete & Continuous Dynamical Systems, 2020] on the conventional 2 tree. Second, we obtain that the rates of convergence of tree-shift associated with a primitive matrix A on the d tree are linear (with respect to the number of points in transversal direction), which is reminiscent of the result on Z2 [Pavlov, The Annals of Probability, 2012]. Lastly, we prove that the rates of convergence of strip entropy approximation are closely related to the expanding constant of the Markov-Cayley trees. | - |
| dc.format.extent | 106 bytes | - |
| dc.format.mimetype | text/html | - |
| dc.relation (關聯) | Monatshefte für Mathematik, Vol.207, pp.497-519 | - |
| dc.subject (關鍵詞) | Topological entropy; Strip entropy approximation; Markov tree-shifts; Rate of convergence | - |
| dc.title (題名) | The strip entropy approximation of Markov tree-shifts on Markov-Cayley trees | - |
| dc.type (資料類型) | article | - |
| dc.identifier.doi (DOI) | 10.1007/s00605-025-02102-0 | - |
| dc.doi.uri (DOI) | https://doi.org/10.1007/s00605-025-02102-0 | - |
