A topological classification of locally constant potentials via zero-temperature measures
Dynamical Systems
2018-09-28 v3
Abstract
We provide a topological classification of locally constant functions over subshifts of finite type via their zero-temperature measures. Our approach is to analyze the relationship between the distribution of the zero-temperature measures and the boundary of higher dimensional generalized rotation sets. We also discuss the regularity of the localized entropy function on the boundary of the generalized rotation sets.
Cite
@article{arxiv.1804.07822,
title = {A topological classification of locally constant potentials via zero-temperature measures},
author = {Christian Wolf and Yun Yang},
journal= {arXiv preprint arXiv:1804.07822},
year = {2018}
}
Comments
To appear in Transactions of A.M.S