Mixing rate in infinite measure for Zd-extension, application to the periodic Sinai billiard
Abstract
We study the rate of mixing of observables of Zd-extensions of probability preserving dynamical systems. We explain how this question is directly linked to the local limit theorem and establish a rate of mixing for general classes of observables of the Z2-periodic Sinai billiard. We compare our approach with the induction method.
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