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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: | 五月-2019 | 上傳時間: | 27-五月-2020 | 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 |
Appears in Collections: | 期刊論文 |
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