Measures of maximal entropy of bounded density shifts
Dynamical Systems
2024-11-20 v2
Abstract
We find sufficient conditions for bounded density shifts to have a unique measure of maximal entropy. We also prove that every measure of maximal entropy of a bounded density shift is fully supported. As a consequence of this, we obtain that bounded density shifts are surjunctive.
Cite
@article{arxiv.2302.07307,
title = {Measures of maximal entropy of bounded density shifts},
author = {Felipe García-Ramos and Ronnie Pavlov and Carlos Reyes},
journal= {arXiv preprint arXiv:2302.07307},
year = {2024}
}
Comments
19 pages