On variational principles for metric mean dimension
Dynamical Systems
2021-02-09 v3
Abstract
In this note, we show several variational principles for metric mean dimension. First we prove a variational principles in terms of Shapira's entropy related to finite open covers. Second we establish a variational principle in terms of Katok's entropy. Finally using these two variational principles we develop a variational principle in terms of Brin-Katok local entropy.
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Cite
@article{arxiv.2101.02610,
title = {On variational principles for metric mean dimension},
author = {Ruxi Shi},
journal= {arXiv preprint arXiv:2101.02610},
year = {2021}
}
Comments
13 pages