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題名 Pattern generation problems arising in multiplicative integer systems
作者 班榮超
Ban, Jung-Chao
Hu, Wen-Guei
Lin, Song-Sun
貢獻者 應數系
日期 2019-05
上傳時間 27-May-2020 09:01:47 (UTC+8)
摘要 This study investigates a multiplicative integer system, an invariant subset of the full shift under the action of the semigroup of multiplicative integers, by using a method that was developed for studying pattern generation problems. The spatial entropy and the Minkowski dimensions of general multiplicative systems can thus be computed. A coupled system is the intersection of a multiplicative integer system and the golden mean shift, which can be decoupled by removing the multiplicative relation set and then performing procedures similar to those applied to a decoupled system. The spatial entropy can be obtained after the remaining error term is shown to approach zero.
關聯 Ergodic Theory & Dynamical Systems, Vol.39, No.5, pp.1234-1260
資料類型 article
DOI https://doi.org/10.1017/etds.2017.74
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) Lin, Song-Sun
dc.date (日期) 2019-05
dc.date.accessioned 27-May-2020 09:01:47 (UTC+8)-
dc.date.available 27-May-2020 09:01:47 (UTC+8)-
dc.date.issued (上傳時間) 27-May-2020 09:01:47 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/129984-
dc.description.abstract (摘要) This study investigates a multiplicative integer system, an invariant subset of the full shift under the action of the semigroup of multiplicative integers, by using a method that was developed for studying pattern generation problems. The spatial entropy and the Minkowski dimensions of general multiplicative systems can thus be computed. A coupled system is the intersection of a multiplicative integer system and the golden mean shift, which can be decoupled by removing the multiplicative relation set and then performing procedures similar to those applied to a decoupled system. The spatial entropy can be obtained after the remaining error term is shown to approach zero.
dc.format.extent 447966 bytes-
dc.format.mimetype application/pdf-
dc.relation (關聯) Ergodic Theory & Dynamical Systems, Vol.39, No.5, pp.1234-1260
dc.title (題名) Pattern generation problems arising in multiplicative integer systems
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.1017/etds.2017.74
dc.doi.uri (DOI) https://doi.org/10.1017/etds.2017.74