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math.DS2026
Thermodynamic Formalism Out of Equilibrium Part III: Local Limit Theorem and Statistical Properties
Snir Ben Ovadia, Yeor Hafouta
We study limit theorems for random dynamical systems. We recast the random dynamics via the skew-product of the two-point motion (the Varadhan trick). Using this approach we prove…
math.DS2026
Thermodynamic Formalism Out of Equilibrium Part II: Semi-Ruelle Operator, Conformal Measures, and Effective Expansion and Quasi-Compactness
Snir Ben Ovadia
We introduce a general machinery to study {\em thermodynamic formalism out of equilibrium}: The thermodynamics of a topological Markov shift (denoted by ) where the potential…