Snir Ben Ovadia

activity

20222024

collaborators

3 papers

math.DS2024

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 $f$ of $C P^{k}$ o…

math.DS2023

Exponential volume limits

Snir Ben Ovadia, Federico Rodriguez-Hetrz

Let $M$ be a $d$ -dimensional closed Riemannian manifold, let $f \in Diff^{1 + β} (M)$ , and denote by $m$ the Riemannian volume form of $M$ . We prove that if $m\circ f^{-n}\xrig…

math.DS2022

Invariant Family of Leaf measures and The Ledrappier-Young Property for Hyperbolic Equilibrium States

Snir Ben Ovadia

$M$ is a Riemannian, boundaryless, and compact manifold with $dim M \geq 2$ , and $f$ is a $C^{1 + β}$ ( $β > 0$ ) diffeomorphism of $M$ . $φ$ is a Hölder continuous potential on $M$ . We c…