Please use this identifier to cite or link to this item:
https://ah.lib.nccu.edu.tw/handle/140.119/139043
DC Field | Value | Language |
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dc.contributor | 應數系 | |
dc.creator | 班榮超 | |
dc.creator | Ban, Jung-Chao | |
dc.creator | Hu, Wen-Guei | |
dc.creator | Lin, Song-Sun | |
dc.creator | Lin, Yin-Heng | |
dc.date | 2021-06 | |
dc.date.accessioned | 2022-02-10T06:58:48Z | - |
dc.date.available | 2022-02-10T06:58:48Z | - |
dc.date.issued | 2022-02-10T06:58:48Z | - |
dc.identifier.uri | http://nccur.lib.nccu.edu.tw/handle/140.119/139043 | - |
dc.description.abstract | 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 | Journal of Mathematical Physics, Vol.62, No.7, pp.072703 | |
dc.title | Verification of mixing properties in two-dimensional shifts of finite type | |
dc.type | article | |
dc.identifier.doi | 10.1063/5.0007365 | |
dc.doi.uri | http://dx.doi.org/10.1063/5.0007365 | |
item.cerifentitytype | Publications | - |
item.openairetype | article | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.grantfulltext | restricted | - |
item.fulltext | With Fulltext | - |
Appears in Collections: | 期刊論文 |
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