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.
Poisson law for some nonuniformly hyperbolic dynamical systems with polynomial rate of mixing
Improved polynomial rates of memory loss for nonstationary intermittent dynamical systems
Polynomial loss of memory for maps of the interval with a neutral fixed point
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