Gibbs measures on compact ultra metric spaces
Dynamical Systems
2022-08-17 v2
Abstract
One proves the equivalence of a Gibbs measure and a Gibbs conformal measure for a dynamical system (G,X) when G is a countably infinite discrete group acting expansively on a compact ultrametric space X. As an application one proves for any beta-shift, that the unique equilibrium measure for a function of summable variation is a Gibbs measure.
Cite
@article{arxiv.2202.06802,
title = {Gibbs measures on compact ultra metric spaces},
author = {C. -E. Pfister},
journal= {arXiv preprint arXiv:2202.06802},
year = {2022}
}
Comments
25 pages