Dynamical Systems Seminar

Title: Genericity of non-uniform hyperbolicity in dimension 3
Speaker: Jana Rodriguez Hertz
Speaker Info: Universidad de la República, Uruguay
Brief Description:
Special Note:

In 1982 Mañé announced (later proved by Bochi) that generic 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 diffeomorphism in a 3-manifold, either all Lyapunov exponents vanish almost everywhere, or else the system is ergodic, non-uniformly hyperbolic and the Oseledets splitting is globally dominated.
Date: Tuesday, January 24, 2012
Time: 4:00pm
Where: Lunt 105
Contact Person: Prof. Bryna Kra
Contact email: kra@math.northwestern.edu
Contact Phone: 847-491-5567
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