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題名 Topologically Mixing Properties of Multiplicative Integer System
作者 班榮超
Ban, Jung-Chao
Chang,  Chih-Hung
Hu, Wen-Guei
Lai, Guan-Yu
Wu, Yu-Liang
貢獻者 應數系
日期 2019-11
上傳時間 10-Feb-2022 14:58:31 (UTC+8)
摘要 Motivated from the study of multiple ergodic average, the investigation of multiplicative shift spaces has drawn much of interest among researchers. This paper focuses on the relation of topologically mixing properties between multiplicative shift spaces and traditional shift spaces. Suppose that X(l)Ω is the multiplicative subshift derived from the shift space Ω with given l>1. We show that X(l)Ω is (topologically) transitive/mixing if and only if Ω is extensible/mixing. After introducing l-directional mixing property, we derive the equivalence between l-directional mixing property of X(l)Ω and weakly mixing property of Ω.
關聯 Real Analysis Exchange, Vol.47, No.1, pp.147-166
資料類型 article
DOI https://doi.org/10.14321/realanalexch.47.1.1614278701
dc.contributor 應數系-
dc.creator (作者) 班榮超-
dc.creator (作者) Ban, Jung-Chao-
dc.creator (作者) Chang,  Chih-Hung-
dc.creator (作者) Hu, Wen-Guei-
dc.creator (作者) Lai, Guan-Yu-
dc.creator (作者) Wu, Yu-Liang-
dc.date (日期) 2019-11-
dc.date.accessioned 10-Feb-2022 14:58:31 (UTC+8)-
dc.date.available 10-Feb-2022 14:58:31 (UTC+8)-
dc.date.issued (上傳時間) 10-Feb-2022 14:58:31 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/139042-
dc.description.abstract (摘要) Motivated from the study of multiple ergodic average, the investigation of multiplicative shift spaces has drawn much of interest among researchers. This paper focuses on the relation of topologically mixing properties between multiplicative shift spaces and traditional shift spaces. Suppose that X(l)Ω is the multiplicative subshift derived from the shift space Ω with given l>1. We show that X(l)Ω is (topologically) transitive/mixing if and only if Ω is extensible/mixing. After introducing l-directional mixing property, we derive the equivalence between l-directional mixing property of X(l)Ω and weakly mixing property of Ω.-
dc.format.extent 563410 bytes-
dc.format.mimetype application/pdf-
dc.relation (關聯) Real Analysis Exchange, Vol.47, No.1, pp.147-166-
dc.title (題名) Topologically Mixing Properties of Multiplicative Integer System-
dc.type (資料類型) article-
dc.identifier.doi (DOI) 10.14321/realanalexch.47.1.1614278701-
dc.doi.uri (DOI) https://doi.org/10.14321/realanalexch.47.1.1614278701-