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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: 2020-05-27 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 連結: https://doi.org/10.1017/etds.2017.74
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