Thermodynamic Formalism Out of Equilibrium, and Gibbs Processes
Dynamical Systems
2025-05-09 v1 Probability
Abstract
We study the thermodynamic formalism of systems where the potential depends randomly on an exterior system. We define the {\em pressure out of equilibrium} for such a family of potentials, and prove a corresponding variational principle. We present an application to random dynamical systems. In particular, we study an open condition for random dynamical systems where the randomness is driven by a Gibbs process, and prove hyperbolicity estimates that were previously only known in the i.i.d setting.
Keywords
Cite
@article{arxiv.2505.04780,
title = {Thermodynamic Formalism Out of Equilibrium, and Gibbs Processes},
author = {Snir Ben Ovadia and Federico Rodriguez-Hertz},
journal= {arXiv preprint arXiv:2505.04780},
year = {2025}
}