| 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.creator (作者) | Lin, Yin-Heng | |
| dc.date (日期) | 2021-06 | |
| dc.date.accessioned | 10-Feb-2022 14:58:48 (UTC+8) | - |
| dc.date.available | 10-Feb-2022 14:58:48 (UTC+8) | - |
| dc.date.issued (上傳時間) | 10-Feb-2022 14:58:48 (UTC+8) | - |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/139043 | - |
| dc.description.abstract (摘要) | This work introduces constructive and systematic methods for verifying the topological mixing and strong specification (or strong irreducibility) of two-dimensional shifts of finite type. First, we define transition matrices on infinite strips of width n for all n ≥ 2. To determine the primitivity of the transition matrices, we introduce the connecting operators that reduce the high-order transition matrices to lower-order transition matrices. Then, two sufficient conditions for primitivity are provided; they are invariant diagonal cycles and primitive commutative cycles of connecting operators. Then, the primitivity, corner-extendability, and crisscross-extendability are used to demonstrate the topological mixing. Finally, we show that the hole-filling condition yields the strong specification property. The application of all the above-mentioned conditions can be verified in a finite number of steps. | |
| dc.format.extent | 601453 bytes | - |
| dc.format.mimetype | application/pdf | - |
| dc.relation (關聯) | Journal of Mathematical Physics, Vol.62, No.7, pp.072703 | |
| dc.title (題名) | Verification of mixing properties in two-dimensional shifts of finite type | |
| dc.type (資料類型) | article | |
| dc.identifier.doi (DOI) | 10.1063/5.0007365 | |
| dc.doi.uri (DOI) | http://dx.doi.org/10.1063/5.0007365 | |
