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Mixing rates for symplectic almost Anosov maps

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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… Click to show full 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: mixing rates; rates symplectic; symplectic almost; anosov maps; almost anosov

Journal Title: Nonlinearity
Year Published: 2020

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