Abstract:We study the thermodynamic formalism of topological Markov shifts where the potential varies by a random walk on an exterior system. We define the {\em pressure out of equilibrium} which is associated to 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 via an Azuma inequality which were previously only known in the i.i.d. setting.
From: Snir Ben Ovadia [view email]
[v1]
Wed, 7 May 2025 20:10:48 UTC (19 KB)
[v2]
Thu, 10 Sep 2026 18:02:03 UTC (26 KB)
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