PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Anatole Katok, Stephanie Zerby, Svetlana Katok, Federico Rodriguez Hertz.

Title:Ergodic theory of C^1 generic conservative diffeomorphisms: I.
Seminar:Working Seminar: Dynamics and its Working Tools
Speaker:Jairo Bochi, Pontifical University of Chile
In this pair of talks, I'll survey what is known about the ergodic theory of C^1-generic volume-preserving and symplectic diffeomorphisms, and what are the various perturbation techniques used to prove those results. In the first part, I'll explain a statement of Mañé (generic area-preserving diffeomorphisms either have zero Lyapunov exponents a.e. or are Anosov), and its higher-dimensional generalizations. In the second part, I'll explain more recent results, culminating with the following theorem of Avila, Crovisier, and Wilkinson: C^1-generic volume-preserving diffeomorphisms either have zero Lyapunov exponents a.e. or the volume measure is ergodic, hyperbolic, and moreover the splitting into stable and unstable spaces is globally uniformly dominated.

Room Reservation Information

Room Number:MB114
Date:02 / 09 / 2016
Time:03:32pm - 06:02pm