Equilibrium States for Center Isometries
Dynamical Systems
2024-05-15 v3
Abstract
We develop a geometric method to establish existence and uniqueness of equilibrium states associated to some H\"older potentials for center isometries (as are regular elements of Anosov actions), in particular the entropy maximizing measure and the SRB measure. It is also given a characterization of equilibrium states in terms of their disintegrations along stable and unstable foliations. Finally, we show that the resulting system is isomorphic to a Bernoulli scheme.
Cite
@article{arxiv.2103.07323,
title = {Equilibrium States for Center Isometries},
author = {Pablo D. Carrasco and Federico Rodriguez-Hertz},
journal= {arXiv preprint arXiv:2103.07323},
year = {2024}
}
Comments
53 pages. This version incorporates the reviewer suggestions and corrections. To appear in Journal of the Institute of Mathematics of Jussieu