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

^*Corresponding author for this work

Research output: Contribution to journal › Journal Article › peer-review

10 Scopus citations

Abstract

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.

Original language	English
Article number	31
Journal	Journal of Statistical Physics
Volume	182
Issue number	2
DOIs	https://doi.org/10.1007/s10955-021-02703-7
State	Published - 02 2021
Externally published	Yes

Bibliographical note

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

Keywords

Box dimension
Entropy
Multiple ergodic average
Multiplicative integer subshift

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10.1007/s10955-021-02703-7

Cite this

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abstract = "A multiplicative integer subshift XΩ 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 XΩ 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.",

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N2 - A multiplicative integer subshift XΩ 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 XΩ 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.

AB - A multiplicative integer subshift XΩ 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 XΩ 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.

KW - Box dimension

KW - Entropy

KW - Multiple ergodic average

KW - Multiplicative integer subshift

UR - https://www.scopus.com/pages/publications/85100388175

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M3 - 文章

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JO - Journal of Statistical Physics

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On the Entropy of Multidimensional Multiplicative Integer Subshifts

Abstract

Bibliographical note

Keywords

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