7 papers · 1 filter
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…
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…
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…
Tubular dimension: Leaf-Wise Asymptotic Local Product Structure, and Entropy and Volume Growth
Snir Ben Ovadia
We introduce the notion of tubular dimension, and give a formula for it. As an application we show that every invariant measure of a diffeomorphism of a closed Riemannian…
Dimension of equilibrium measures for complex maps
Snir Ben Ovadia, Yan Mary He
For certain families of complex maps, we give a formula for the Hausdorff dimension of the equilibrium measure. In particular, given an endomorphism of o…
Exponential volume limits
Snir Ben Ovadia, Federico Rodriguez-Hetrz
Let be a -dimensional closed Riemannian manifold, let , and denote by the Riemannian volume form of . We prove that if $m\circ f^{-n}\xrig…