Polynomial rate of mixing for a family of billiard flows

2023/08/23 by Etienne, Bonnafoux
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2308.12101

Abstract

We prove that the continuous correlation function decrease polynomially for two families of billiard studied by Chernov and Zhang. The main computation is to show that the return function is Holder on stable and unstable manifold.

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