Equilibrium states of intermediate entropies
Dynamical Systems
2020-06-12 v1
Abstract
We explore an approach to the conjecture of Katok on intermediate entropies that based on uniqueness of equilibrium states, provided the entropy function is upper semi-continuous. As an application, we prove Katok's conjecture for Ma\~n\'e diffeomorphisms.
Keywords
Cite
@article{arxiv.2006.06358,
title = {Equilibrium states of intermediate entropies},
author = {Peng Sun},
journal= {arXiv preprint arXiv:2006.06358},
year = {2020}
}