Stretched-exponential Mixing for C 1+α Skew Products with Discontinuities


Consider the skew product F : T2 → T2, F (x, y) = (f(x), y + τ(x)), where f : T1 → T1 is a piecewise C 1+α expanding map on a countable partition and τ : T1 → R is piecewise C 1. It is shown that if τ is not Lipschitzcohomologous to a piecewise constant function on the joint partition of f and τ , then F is mixing at a stretched-exponential rate. 


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