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    政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 >  Item 140.119/140391


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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: 2022-06-24 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 連結: https://doi.org/10.1007/s11040-021-09411-4
    DOI: 10.1007/s11040-021-09411-4
    顯示於類別:[應用數學系] 期刊論文

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