Mixing rates for symplectic almost Anosov maps
arXiv:2003.07551 · doi:10.1088/1361-6544/abebc5
Abstract
We establish sharp bounds on the mixing rates of a class of two dimensional non-uniformly hyperbolic symplectic maps. This provides a primer on how to investigate such questions in a concrete example and, at the same time, it solves a controversy between previous rigorous results and numerical experiments.