Mixing rate in infinite measure for Z^d-extension, application to the periodic Sinai billiard

Published 16 May 2017 in math.DS | (1705.05565v1)

Abstract: We study the rate of mixing of observables of Z^d-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 Z^2-periodic Sinai billiard. We compare our approach with the induction method.

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Authors (1)

Françoise Pène

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