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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…
math.DS2024
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…
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 of o…