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Title: On the entropy of multidimensional multiplicative integer subshifts
Authors: 班榮超
Ban, Jung-Chao 
Hu, Wen-Guei
Lai , Guan-Yu
Contributors: 應數系
Keywords: Entropy;Multiplicative integer subshift;Multiple ergodic average;Box dimension
Date: 2021-02
Issue Date: 2021-10-27 11:00:19 (UTC+8)
Abstract: A multiplicative integer subshift XΩXΩ derived from the subshift ΩΩ is invariant under multiplicative integer action, which is closely related to the level set of multiple ergodic average. The complexity of XΩXΩ 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.
Relation: Journal of Statistical Physics, 182
Data Type: article
DOI 連結:
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