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題名 Hausdorff dimensions of irreducible Markov hom tree-shifts
作者 班榮超
Ban, Jung-Chao;Lai, Guan-Yu;Wu, Yu-Liang
貢獻者 應數系
日期 2025-06
上傳時間 13-六月-2025 09:27:03 (UTC+8)
摘要 This paper features a Cramér's theorem for finite-state Markov chains indexed by rooted d-trees, obtained via the method of types in the classical analysis of large deviations. Along with the theorem comes two applications: an almost-sure type convergence of sample means and a formula for the Hausdorff dimension of the symbolic space associated with the irreducible Markov chain.
關聯 Journal of the London Mathematical Society, Vol.111, No.6, e70198
資料類型 article
DOI https://doi.org/10.1112/jlms.70198
dc.contributor 應數系
dc.creator (作者) 班榮超
dc.creator (作者) Ban, Jung-Chao;Lai, Guan-Yu;Wu, Yu-Liang
dc.date (日期) 2025-06
dc.date.accessioned 13-六月-2025 09:27:03 (UTC+8)-
dc.date.available 13-六月-2025 09:27:03 (UTC+8)-
dc.date.issued (上傳時間) 13-六月-2025 09:27:03 (UTC+8)-
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/157341-
dc.description.abstract (摘要) This paper features a Cramér's theorem for finite-state Markov chains indexed by rooted d-trees, obtained via the method of types in the classical analysis of large deviations. Along with the theorem comes two applications: an almost-sure type convergence of sample means and a formula for the Hausdorff dimension of the symbolic space associated with the irreducible Markov chain.
dc.format.extent 98 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) Journal of the London Mathematical Society, Vol.111, No.6, e70198
dc.title (題名) Hausdorff dimensions of irreducible Markov hom tree-shifts
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.1112/jlms.70198
dc.doi.uri (DOI) https://doi.org/10.1112/jlms.70198