S. ben Ovadia

Thermodynamic Formalism Out of Equilibrium Part III: Local Limit Theorem and Statistical Properties

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 several statistical properties for the system, including quenched central limit theorems with rates, quenched local limit theorem, large dev...