Mixing properties of tree-shifts

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	27-五月-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	27-五月-2020 09:00:55 (UTC+8)	-
dc.date.available	27-五月-2020 09:00:55 (UTC+8)	-
dc.date.issued (上傳時間)	27-五月-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