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題名 On the entropy of multidimensional multiplicative integer subshifts
作者 班榮超
Ban, Jung-Chao 
Hu, Wen-Guei
Lai , Guan-Yu
貢獻者 應數系
關鍵詞 Entropy ; Multiplicative integer subshift ; Multiple ergodic average ; Box dimension
日期 2021-02
上傳時間 27-Oct-2021 11:00:19 (UTC+8)
摘要 A multiplicative integer subshift XΩXΩ derived from the subshift ΩΩ is invariant under multiplicative integer action, which is closely related to the level set of multiple ergodic average. The complexity of XΩXΩ is usually measured by entropy (or box dimension). This work concerns on two types of multi-dimensional multiplicative integer subshifts (MMIS) with different coupling constraints, and then obtains their entropy formulae.
關聯 Journal of Statistical Physics, 182
資料類型 article
DOI https://doi.org/10.1007/s10955-021-02703-7
dc.contributor 應數系
dc.creator (作者) 班榮超
dc.creator (作者) Ban, Jung-Chao 
dc.creator (作者) Hu, Wen-Guei
dc.creator (作者) Lai , Guan-Yu
dc.date (日期) 2021-02
dc.date.accessioned 27-Oct-2021 11:00:19 (UTC+8)-
dc.date.available 27-Oct-2021 11:00:19 (UTC+8)-
dc.date.issued (上傳時間) 27-Oct-2021 11:00:19 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/137562-
dc.description.abstract (摘要) A multiplicative integer subshift XΩXΩ derived from the subshift ΩΩ is invariant under multiplicative integer action, which is closely related to the level set of multiple ergodic average. The complexity of XΩXΩ is usually measured by entropy (or box dimension). This work concerns on two types of multi-dimensional multiplicative integer subshifts (MMIS) with different coupling constraints, and then obtains their entropy formulae.
dc.format.extent 487116 bytes-
dc.format.mimetype application/pdf-
dc.relation (關聯) Journal of Statistical Physics, 182
dc.subject (關鍵詞) Entropy ; Multiplicative integer subshift ; Multiple ergodic average ; Box dimension
dc.title (題名) On the entropy of multidimensional multiplicative integer subshifts
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.1007/s10955-021-02703-7
dc.doi.uri (DOI) https://doi.org/10.1007/s10955-021-02703-7