Mixing rates for symplectic almost Anosov maps

17 Mar 2020  ·  Eslami Peyman, Liverani Carlangelo ·

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.

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Dynamical Systems