PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Anatole Katok, Dmitri Burago.

Title:Genericity of non-uniform hyperbolicity in dimension 3
Seminar:Center for Dynamics and Geometry Seminars
Speaker:Jana Rodriguez Hertz, IMERL, Montevideo
Abstract:
In 1982 Mañé announced (later proved by Bochi) that generic conservative surface diffeomorphisms are either Anosov or else all Lyapunov exponents vanish almost everywhere. He pointed out the difficulties of obtaining similar results for higher dimensional manifolds, including the fact that conservative diffeomorphisms are not necessarily symplectic. Here we show that for a generic conservative diffeomorphism in a 3-manifold, either all Lyapunov exponents vanish almost everywhere, or else the system is non-uniformly hyperbolic. It is known that the generic non-uniformly hyperbolic diffeomorphism is ergodic, and its Oseledets splitting is globally dominated.

Room Reservation Information

Room Number:MB106
Date:02 / 06 / 2012
Time:03:35pm - 05:30pm