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arXiv · 2505.04780

Thermodynamic Formalism Out of Equilibrium, and Gibbs Processes

Snir Ben Ovadia·Federico Rodriguez-Hertz
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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.

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Snir Ben Ovadia, Federico Rodriguez-Hertz. 2025-05-07. Thermodynamic Formalism Out of Equilibrium, and Gibbs Processes. https://arxiv.org/abs/2505.04780

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