## Analysis and Applied Mathematics Seminar

Jinxin Xue

U of Chicago

Standard map, Lyapunov exponent and randomness

**Abstract:**It is an important open problem in dynamical systems to prove positive Lyapunov exponent for the standard map. In this talk I will introduce the problem, explain its significance and discuss the main difficulty. I will also talk about my joint work with Blumenthal and Young on this problem: by introducing a extremely small random perturbation to the map, we prove large positive Lyapunov exponent for the randomized system.

Monday January 30, 2017 at 4:00 PM in SEO 636