dc.contributor | 應數系 | |
dc.creator (作者) | 班榮超 | |
dc.creator (作者) | Ban, Jung-Chao | |
dc.creator (作者) | Hu, Wen-Guei | |
dc.creator (作者) | Lin, Song-Sun | |
dc.date (日期) | 2019-05 | |
dc.date.accessioned | 27-May-2020 09:01:47 (UTC+8) | - |
dc.date.available | 27-May-2020 09:01:47 (UTC+8) | - |
dc.date.issued (上傳時間) | 27-May-2020 09:01:47 (UTC+8) | - |
dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/129984 | - |
dc.description.abstract (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. | |
dc.format.extent | 447966 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.relation (關聯) | Ergodic Theory & Dynamical Systems, Vol.39, No.5, pp.1234-1260 | |
dc.title (題名) | Pattern generation problems arising in multiplicative integer systems | |
dc.type (資料類型) | article | |
dc.identifier.doi (DOI) | 10.1017/etds.2017.74 | |
dc.doi.uri (DOI) | https://doi.org/10.1017/etds.2017.74 | |