On the Entropy of Multidimensional Multiplicative Integer Subshifts

Jung Chao Ban; Wen Guei Hu; Guan Yu Lai

doi:10.1007/s10955-021-02703-7

On the Entropy of Multidimensional Multiplicative Integer Subshifts

Jung Chao Ban
, Wen Guei Hu^*
, Guan Yu Lai

^*此作品的通信作者

National Chengchi University
National Taiwan University
Sichuan University
National Yang Ming Chiao Tung University

研究成果: 期刊稿件 › 文章 › 同行評審

10 引文斯高帕斯（Scopus）

摘要

A multiplicative integer subshift X_Ω derived from the subshift Ω is invariant under multiplicative integer action, which is closely related to the level set of multiple ergodic average. The complexity of X_Ω is usually measured by entropy (or box dimension). This work concerns on two types of multi-dimensional multiplicative integer subshifts (MMIS) with different coupling constraints, and then obtains their entropy formulae.

原文	英語
文章編號	31
期刊	Journal of Statistical Physics
卷	182
發行號	2
DOIs	https://doi.org/10.1007/s10955-021-02703-7
出版狀態	已出版 - 02 2021
對外發佈	是

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© 2021, The Author(s), under exclusive licence to Springer Science+Business Media, LLC part of Springer Nature.

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KW - Box dimension

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On the Entropy of Multidimensional Multiplicative Integer Subshifts

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