PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Dmitri Burago, Stephanie Zerby, John Roe.

Title:Positive metric entropy arises between some KAM tori
Seminar:Geometry Luncheon Seminar
Speaker:Dong Chen, PSU
The celebrated KAM Theory says that if one makes a small perturbation of a non-degenerate completely integrable system, we still have a huge measure of invariant tori with quasi-periodic dynamics in the perturbed system. These invariant tori are known as KAM tori. What happens between KAM tori draws lots of attention. In this talk I will present a Lagrangian perturbation of the geodesic flow on a flat 3-torus. The perturbation is C^m small (m can be arbitrarily large) but the flow has a positive measure of trajectories with positive Lyapunov exponent. The measure of this set is of course extremely small. Still, the flow has positive metric entropy. From this result we get positive metric entropy between some KAM tori.

Room Reservation Information

Room Number:MB114
Date:01 / 20 / 2016
Time:12:00pm - 01:30pm