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    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/156575


    Title: On the topological pressure of axial product on trees
    Authors: 班榮超
    Ban, Jung-Chao;Wu, Yu-Liang
    Contributors: 應數系
    Keywords: Tree-shifts;monotonicity;pressure
    Date: 2025-03
    Issue Date: 2025-04-14 09:50:55 (UTC+8)
    Abstract: 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,
    Data Type: article
    DOI link: https://doi.org/10.1142/S0219493725500078
    DOI: 10.1142/S0219493725500078
    Appears in Collections:[Department of Mathematical Sciences] Periodical Articles

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