3 papers
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…
math.DS2024
Anosov diffeomorphisms of open surfaces
Snir Ben Ovadia, Jonathan DeWitt
We study the existence of Anosov diffeomorphisms on complete open surfaces. We show that under the assumptions of density of periodic points and uniform geometry that such diffeomo…