{
  "id": "2505.04780",
  "version": "v1",
  "published": "2025-05-07T20:10:48.000Z",
  "updated": "2025-05-07T20:10:48.000Z",
  "title": "Thermodynamic Formalism Out of Equilibrium, and Gibbs Processes",
  "authors": [
    "Snir Ben Ovadia",
    "Federico Rodriguez-Hertz"
  ],
  "categories": [
    "math.DS",
    "math.PR"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2025-05-07T20:10:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "thermodynamic formalism",
      "gibbs process",
      "equilibrium",
      "random dynamical systems",
      "exterior system"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}