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https://ah.nccu.edu.tw/handle/140.119/129984
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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 |
| DOI 連結: | https://doi.org/10.1017/etds.2017.74 |
| Appears in Collections: | [應用數學系] 期刊論文 |
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