On the topological pressure of axial product on trees | Publication

Title	On the topological pressure of axial product on trees
Creator	班榮超 Ban, Jung-Chao;Wu, Yu-Liang
Contributor	應數系
Key Words	Tree-shifts; monotonicity; pressure
Date	2025-02
Date Issued	14-Apr-2025 09:50:55 (UTC+8)
Summary	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.
Relation	Stochastics and Dynamics, Vol.25, No.1, 2550007
Type	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)	2025-02	-
dc.date.accessioned	14-Apr-2025 09:50:55 (UTC+8)	-
dc.date.available	14-Apr-2025 09:50:55 (UTC+8)	-
dc.date.issued (上傳時間)	14-Apr-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, 2550007	-
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	-