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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