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政大典藏 > College of Science > Department of Mathematical Sciences > Periodical Articles > Item 140.119/139042

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Title:	Topologically Mixing Properties of Multiplicative Integer System
Authors:	班榮超 Ban, Jung-Chao Chang, Chih-Hung Hu, Wen-Guei Lai, Guan-Yu Wu, Yu-Liang
Contributors:	應數系
Date:	2019-11
Issue Date:	2022-02-10 14:58:31 (UTC+8)
Abstract:	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.
Relation:	Real Analysis Exchange, Vol.47, No.1, pp.147-166
Data Type:	article
DOI link:	https://doi.org/10.14321/realanalexch.47.1.1614278701
DOI:	10.14321/realanalexch.47.1.1614278701
Appears in Collections:	[Department of Mathematical Sciences] Periodical Articles

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