For more information about this meeting, contact Thomas Barthelme, Anatole Katok, Federico Rodriguez Hertz, Dmitri Burago.
|Title:||Symbolic dynamics for three dimensional flows with positive entropy (joint work with Y. Lima)|
|Seminar:||Dynamical systems seminar|
|Speaker:||Omri Sarig, Weizmann Institute of Science|
|Suppose M is a smooth flow on a compact smooth three dimensional manifold M, and suppose \mu is an ergodic invariant measure with positive entropy. We find an invariant set of full measure on which the flow is a finite-to-one factor of a Holder suspension over a countable Markov shift.
This provides symbolic dynamics in the style of Bowen and Ratner for geodesic flows of surfaces, on the part which carries an ergodic measure with positive entropy. The new aspect of our work is that we do not assume negative curvature or uniform hyperbolicity. Applications to closed orbits will be discussed.
This is work in progress with Yuri Lima.|
Room Reservation Information
|Date:||04 / 21 / 2014|
|Time:||03:35pm - 05:35pm|