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.
Eslami, P., Liverani, C. (2021). Mixing rates for symplectic almost Anosov maps. NONLINEARITY, 34(6), 3709-3731 [10.1088/1361-6544/abebc5].
Mixing rates for symplectic almost Anosov maps
Liverani, CMembro del Collaboration Group
2021-01-01
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.File in questo prodotto:
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