Dynamics Seminar
Felix Lequen
UIC
Exponential mixing and the uniform non-integrability condition
Abstract: In this talk I will introduce some ideas to prove exponential decay of correlations for certain dynamical systems, first the angle-doubling map and then cat maps. Then I will give a short introduction to Dolgopyat's method which allows us to treat some systems with a neutral direction, in particular flows and some skew-products. I will talk about the important role of the uniform non-integrability (UNI) condition. If time allows, I will finish by explaining how one might approach this with a microlocal point of view based on ideas of Faure, Tsujii as well as Tsujii-Zhang and Leclerc (joint work with Frédéric Faure).
Note the unusual date (Tuesday).
This talk is joint with the Groups and Dynamics seminar
Tuesday April 1, 2025 at 3:00 PM in 427 SEO