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https://ah.lib.nccu.edu.tw/handle/140.119/140391
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: | Dec-2021 | 上傳時間: | 24-Jun-2022 | 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 |
Appears in Collections: | 期刊論文 |
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