Jinxin Xue : Standard map, Lyapunov exponent and randomness

Posted by Youngjoon Hong , part of the Analysis and Applied Mathematics Seminar.

At

Jan. 30, 2017, 4 p.m.

In

SEO 636

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.