Mixing rates for symplectic almost Anosov maps

Peyman Eslami, Carlangelo Liverani

Published 2020-03-17Version 1

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.