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https://ah.lib.nccu.edu.tw/handle/140.119/133716
題名: | Entropy Dimension of Shifts of Finite Type on Free Groups | 作者: | 班榮超 Ban, Jung-Chao Chang, Chih-Hung |
貢獻者: | 應數系 | 關鍵詞: | topological degree;entropy dimension;free group;finitely generated group;Cayley graph;conjugacy-invariant | 日期: | Jun-2020 | 上傳時間: | 25-Jan-2021 | 摘要: | This paper considers the topological degree of G-shifts of finite type for the case where G is a finitely generated free group. Topological degree is the logarithm of entropy dimension; that is, topological degree is a characterization for zero entropy systems. Following the conjugacy-invariance of topological degree, we show that it is equivalent to solving a system of nonlinear recurrence equations. More explicitly, the topological degree of G-shift of finite type is achieved as the maximal spectral radius of a collection of matrices corresponding to the shift itself. | 關聯: | AIMS Mathematics, 2020, Volume 5, Issue 5, 5121-5139 | 資料類型: | article | DOI: | https://doi.org/10.3934/math.2020329 |
Appears in Collections: | 期刊論文 |
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