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arXiv · 1705.05565

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

Françoise Pène
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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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Françoise Pène. 2017-05-16. Mixing rate in infinite measure for Z^d-extension, application to the periodic Sinai billiard. https://doi.org/10.1016/j.chaos.2017.10.039

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