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https://hdl.handle.net/20.500.12202/9559| Title: | Asymptotic expansion of correlation functions for Z^d covers of hyperbolic flows. |
| Authors: | Dolgopyat, Dmitry Nándori, Peter Pène, Françoise 0000-0001-8238-6653 |
| Keywords: | Sinai billiard Lorentz process Young tower local limit theorem decorrelation mixing infinite measure Edgeworth expansion |
| Issue Date: | 2022 |
| Publisher: | IMS: Insttiute of Mathematical Statistics |
| Citation: | Dolgopyat, D., Nándori, P., & Pène, F. (2022). Asymptotic expansion of correlation functions for Z^d covers of hyperbolic flows. Annales de l’Institut Henri Poincaré, Probabilités et Statistiques, 58(2), 1244-1283. https://doi.org/10.1214/21-AIHP1192 |
| Series/Report no.: | Annales de l’Institut Henri Poincaré, Probabilités et Statistiques; |
| Abstract: | We establish expansion of every order for the correlation function of sufficiently regular observables of Zd extensions of some hyperbolic flows. Our examples include the Z2 periodic Lorentz gas and geodesic flows on abelian covers of compact manifolds with negative curvature. |
| Description: | Scholarly article / Open access (arXiv PDF) |
| URI: | https://hdl.handle.net/20.500.12202/9559 |
| Appears in Collections: | Stern College for Women -- Faculty Publications |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Dogopyat Nandori Pene Asymptotic arXiv 2022 1908.11504.pdf | 493.22 kB | Adobe PDF |  View/Open |
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