Asymptotic expansion of correlation functions for Z^d covers of hyperbolic flows.

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dc.contributor.authorDolgopyat, Dmitry
dc.contributor.authorNándori, Peter
dc.contributor.authorPène, Françoise
dc.contributor.orcid0000-0001-8238-6653en_US
dc.date.accessioned2023-11-28T21:13:33Z
dc.date.available2023-11-28T21:13:33Z
dc.date.issued2022
dc.descriptionScholarly article / Open access (arXiv PDF)en_US
dc.description.abstractWe 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.en_US
dc.description.sponsorshipThis research started while PN was affiliated with the University of Maryland. FP thanks the University of Maryland, where this work was started, for its hospitality. The research of DD was partially sponsored by NSF DMS 1665046, and the research of PN was partially sponsored by NSF DMS 1800811. PN and FP thank the hospitality of CIRM, Luminy and Centro di Ricerca Matematica Ennio De Giorgi, Pisa, where part of this work was done. FP thanks the IUF for its important support.en_US
dc.identifier.citationDolgopyat, 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-AIHP1192en_US
dc.identifier.doihttps://doi.org/10.1214/21-AIHP1192en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12202/9559
dc.language.isoen_USen_US
dc.publisherIMS: Insttiute of Mathematical Statisticsen_US
dc.relation.ispartofseriesAnnales de l’Institut Henri Poincaré, Probabilités et Statistiques;
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectSinaien_US
dc.subjectbilliarden_US
dc.subjectLorentz processen_US
dc.subjectYoung toweren_US
dc.subjectlocal limit theoremen_US
dc.subjectdecorrelationen_US
dc.subjectmixingen_US
dc.subjectinfinite measureen_US
dc.subjectEdgeworth expansionen_US
dc.titleAsymptotic expansion of correlation functions for Z^d covers of hyperbolic flows.en_US
dc.typeArticleen_US
local.yu.facultypagehttps://sites.google.com/view/peternandori/en_US

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