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題名 Stem and topological entropy on Cayley trees
作者 班榮超
Ban, Jung-Chao
Chang, Chih-Hung;Wu, Yu-Liang;Wu, Yu-Ying
貢獻者 應數系
關鍵詞 Topological entropy; Stem entropy; Bethe lattice; Cayley graph
日期 2021-12
上傳時間 24-Jun-2022 15:32:29 (UTC+8)
摘要 We consider the existence of the topological entropy of shift spaces on a finitely generated semigroup whose Cayley graph is a tree. The considered semigroups include free groups. On the other hand, the notion of stem entropy is introduced. For shift spaces on a strict free semigroup, the stem entropy coincides with the topological entropy. We reveal a sufficient condition for the existence of the stem entropy of shift spaces on a semigroup. Furthermore, we demonstrate that the topological entropy exists in many cases and is identical to the stem entropy.
關聯 Mathematical Physics, Analysis and Geometry, 25, Article number: 1
資料類型 article
DOI https://doi.org/10.1007/s11040-021-09411-4
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;Wu, Yu-Liang;Wu, Yu-Ying
dc.date (日期) 2021-12
dc.date.accessioned 24-Jun-2022 15:32:29 (UTC+8)-
dc.date.available 24-Jun-2022 15:32:29 (UTC+8)-
dc.date.issued (上傳時間) 24-Jun-2022 15:32:29 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/140391-
dc.description.abstract (摘要) We consider the existence of the topological entropy of shift spaces on a finitely generated semigroup whose Cayley graph is a tree. The considered semigroups include free groups. On the other hand, the notion of stem entropy is introduced. For shift spaces on a strict free semigroup, the stem entropy coincides with the topological entropy. We reveal a sufficient condition for the existence of the stem entropy of shift spaces on a semigroup. Furthermore, we demonstrate that the topological entropy exists in many cases and is identical to the stem entropy.
dc.format.extent 106 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) Mathematical Physics, Analysis and Geometry, 25, Article number: 1
dc.subject (關鍵詞) Topological entropy; Stem entropy; Bethe lattice; Cayley graph
dc.title (題名) Stem and topological entropy on Cayley trees
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.1007/s11040-021-09411-4
dc.doi.uri (DOI) https://doi.org/10.1007/s11040-021-09411-4