Department of Mathematics
Mathematics Colloquium - Spring 2017
Tuesday, February 14th, 2017
3:00pm - 4:00pm, in McCormack 2-419 Jinxin XueUniversity of ChicagoThe standard map conjecture 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.
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