Double variational principle for mean dimensions with sub-additive potentials-Reference-Cited by-同舟云学术

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Double variational principle for mean dimensions with sub-additive potentials

Published:2023-08-01 Issue:8 Volume:64 Page:
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:

Author:

Wang Yunping¹^ORCID,Chen Ercai²^ORCID

Affiliation:

1. School of Science, Ningbo University of Technology 1 , Ningbo 315211, Zhejiang, People’s Republic of China

2. School of Mathematical Sciences and Institute of Mathematics, Nanjing Normal University 2 , Nanjing 210046, Jiangsu, People’s Republic of China

Abstract

In this paper, we introduce mean dimension quantities with sub-additive potentials. We define the mean dimension and mean metric dimension with sub-additive potentials and establish a double variational principle for sub-additive potentials.

Funder

Natural Science Foundation of Zhejiang Province

Natural Science Foundation of Ningbo

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://pubs.aip.org/aip/jmp/article-pdf/doi/10.1063/5.0075689/18074665/082701_1_5.0075689.pdf

Reference32 articles.

1. Statistical mechanics on a compact set with Zv action satisfying expansiveness and specification;Trans. Am. Math. Soc.,1973

2. A variational principle for the pressure of continuous transformations;Am. J. Math.,1975

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