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arXiv · 1908.11504

Asymptotic expansion of correlation functions for $\mathbb{Z}^d$ covers of hyperbolic flows

Dmitry Dolgopyat·Péter Nándori·Françoise Pène
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Abstract

We establish expansion of every order for the correlation function of sufficiently regular observables of $\mathbb Z^d$ extensions of some hyperbolic flows. Our examples include the $\mathbb Z^2$ periodic Lorentz gas and geodesic flows on abelian covers of compact manifolds with negative curvature.

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Dmitry Dolgopyat, Péter Nándori, Françoise Pène. 2019-08-30. Asymptotic expansion of correlation functions for $\mathbb{Z}^d$ covers of hyperbolic flows. https://arxiv.org/abs/1908.11504

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