Speaker: Snir Ben Ovadia (Hebrew University of Jerusalem)
Time: 2025-12-25 16:00-17:17
Location: 1710, SIMIS
Zoom Meeting ID: 867 0266 6853 Passcode: SIMIS
Abstract:
We show that for every C∞ diffeomorphism of a closed Riemannian manifold, if there exists a positive volume set of points with a positive Lyapunov exponent (in a weak sense) then there exists an invariant probability measure with a disintegration by absolutely continuous conditionals on disks subordinated to unstable leaves. As an application, we solve the strong Viana conjecture in any dimension. This is joint work with D. Burguet.
About Speaker
Snir Ben Ovadia is a researcher working on Dynamical Systems. After completing his PhD at the Weizmann Institute of Science in 2021, he went on to become a Postdoctoral Scholar at the Eberley College of Science and the Anatole Katok Center for Dynamical Systems and Geometry, both at Pennsylvania State University. Currently, he is an Assistant Professor at the Hebrew University of Jerusalem (HUJI), whose fields of expertise are Ergodic Theory, Hyperbolic Dynamical Systems, and their intersection.
English 
简体中文