Thermodynamic Formalism Out of Equilibrium, and Gibbs Processes
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912366233387008 |
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| author | Ovadia, Snir Ben Rodriguez-Hertz, Federico |
| author_facet | Ovadia, Snir Ben Rodriguez-Hertz, Federico |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_04780 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Thermodynamic Formalism Out of Equilibrium, and Gibbs Processes Ovadia, Snir Ben Rodriguez-Hertz, Federico Dynamical Systems Probability 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. |
| title | Thermodynamic Formalism Out of Equilibrium, and Gibbs Processes |
| topic | Dynamical Systems Probability |
| url | https://arxiv.org/abs/2505.04780 |