Rice University

Events at Rice

Colloquium

Mathematics

Speaker: Jinxin Xue
University of Chicago

Special Colloquium: The standard map, Lyapunov exponent and randomness

Tuesday, February 21, 2017
4:00 PM  to 5:00 PM

227  Herman Brown Hall
Rice University
6100 Main St
Houston, Texas, USA

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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