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Title: Pattern generation problems arising in multiplicative integer systems
Authors: 班榮超
Ban, Jung-Chao
Hu, Wen-Guei
Lin, Song-Sun
Contributors: 應數系
Date: 2019-05
Issue Date: 2020-05-27 09:01:47 (UTC+8)
Abstract: 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.
Relation: Ergodic Theory & Dynamical Systems, Vol.39, No.5, pp.1234-1260
Data Type: article
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