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4:00 pm Tuesday, February 21, 2017 Special Colloquium: The standard map, Lyapunov exponent and randomness
by Jinxin Xue (University of Chicago) in HBH 227

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.

Host Department: Rice University-Mathematics Submitted by kiselev@rice.edu