English

Mixing rates for symplectic almost Anosov maps

Dynamical Systems 2021-08-11 v1

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.

Keywords

Cite

@article{arxiv.2003.07551,
  title  = {Mixing rates for symplectic almost Anosov maps},
  author = {Peyman Eslami and Carlangelo Liverani},
  journal= {arXiv preprint arXiv:2003.07551},
  year   = {2021}
}