Mixing rate in infinite measure for Z^d-extension, application to the periodic Sinai billiard
arXiv:1705.05565 · doi:10.1016/j.chaos.2017.10.039
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.