學術產出-期刊論文
題名 | On the topological pressure of axial product on trees |
作者 | 班榮超 Ban, Jung-Chao;Wu, Yu-Liang |
貢獻者 | 應數系 |
關鍵詞 | Tree-shifts; monotonicity; pressure |
日期 | 2025-03 |
上傳時間 | 14-四月-2025 09:50:55 (UTC+8) |
摘要 | This paper investigates the topological pressure of isotropic axial products of Markov subshifts on the d-tree. We show that the quantity increases with dimension d . To achieve this, we introduce the pattern distribution vectors and the associated transition matrices and partially transplant the large deviation theory to tree-shifts. Additionally, we apply our main result to a broader class of shift spaces, accompanied by numerical experiments for verification. |
關聯 | Stochastics and Dynamics, Vol.25, No.1, |
資料類型 | article |
DOI | https://doi.org/10.1142/S0219493725500078 |
dc.contributor | 應數系 | |
dc.creator (作者) | 班榮超 | |
dc.creator (作者) | Ban, Jung-Chao;Wu, Yu-Liang | |
dc.date (日期) | 2025-03 | |
dc.date.accessioned | 14-四月-2025 09:50:55 (UTC+8) | - |
dc.date.available | 14-四月-2025 09:50:55 (UTC+8) | - |
dc.date.issued (上傳時間) | 14-四月-2025 09:50:55 (UTC+8) | - |
dc.identifier.uri (URI) | https://nccur.lib.nccu.edu.tw/handle/140.119/156575 | - |
dc.description.abstract (摘要) | This paper investigates the topological pressure of isotropic axial products of Markov subshifts on the d-tree. We show that the quantity increases with dimension d . To achieve this, we introduce the pattern distribution vectors and the associated transition matrices and partially transplant the large deviation theory to tree-shifts. Additionally, we apply our main result to a broader class of shift spaces, accompanied by numerical experiments for verification. | |
dc.format.extent | 105 bytes | - |
dc.format.mimetype | text/html | - |
dc.relation (關聯) | Stochastics and Dynamics, Vol.25, No.1, | |
dc.subject (關鍵詞) | Tree-shifts; monotonicity; pressure | |
dc.title (題名) | On the topological pressure of axial product on trees | |
dc.type (資料類型) | article | |
dc.identifier.doi (DOI) | 10.1142/S0219493725500078 | |
dc.doi.uri (DOI) | https://doi.org/10.1142/S0219493725500078 |