Asymptotic expansion of correlation functions for $\mathbb{Z}^d$ covers of hyperbolic flows
Dynamical Systems
2019-09-02 v1
Abstract
We establish expansion of every order for the correlation function of sufficiently regular observables of extensions of some hyperbolic flows. Our examples include the periodic Lorentz gas and geodesic flows on abelian covers of compact manifolds with negative curvature.
Keywords
Cite
@article{arxiv.1908.11504,
title = {Asymptotic expansion of correlation functions for $\mathbb{Z}^d$ covers of hyperbolic flows},
author = {Dmitry Dolgopyat and Péter Nándori and Françoise Pène},
journal= {arXiv preprint arXiv:1908.11504},
year = {2019}
}