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題名: | Mixing properties of tree-shifts | 作者: | 班榮超 Ban, Jung-Chao Chang, Chih-Hung |
貢獻者: | 應數系 | 日期: | 十一月-2017 | 上傳時間: | 27-五月-2020 | 摘要: | The uncertainty of multidimensional shift spaces draws attracted attention of researchers. For example, the emptiness problem is undecidable; there exist aperiodic shifts of finite type; there is a nonempty shift of finite type exhibiting nonextensible local patterns. This paper investigates symbolic dynamics on Cayley trees and gives affirmative answers to the above questions in tree-shifts. Beyond that, with introducing block gluing tree-shift, a sufficient condition of exhibiting positive topological entropy is revealed. | 關聯: | Journal of Mathematical Physics, Vol.58, No.11, pp.112702 | 資料類型: | article | DOI: | https://doi.org/10.1063/1.5011339 |
Appears in Collections: | 期刊論文 |
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