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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 2017-11
上傳時間 27-May-2020 09:00:55 (UTC+8)
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
dc.contributor 應數系
dc.creator (作者) 班榮超
dc.creator (作者) Ban, Jung-Chao
dc.creator (作者) Chang, Chih-Hung
dc.date (日期) 2017-11
dc.date.accessioned 27-May-2020 09:00:55 (UTC+8)-
dc.date.available 27-May-2020 09:00:55 (UTC+8)-
dc.date.issued (上傳時間) 27-May-2020 09:00:55 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/129981-
dc.description.abstract (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.
dc.format.extent 238131 bytes-
dc.format.mimetype application/pdf-
dc.relation (關聯) Journal of Mathematical Physics, Vol.58, No.11, pp.112702
dc.title (題名) Mixing properties of tree-shifts
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.1063/1.5011339
dc.doi.uri (DOI) https://doi.org/10.1063/1.5011339