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DOI : 10.60527/mzx2-h919
Citer cette ressource :
I_Fourier. (2018, 19 juin). G. Forni - Cohomological equation and Ruelle resonnences (Part 2) , in 2018. [Vidéo]. Canal-U. https://doi.org/10.60527/mzx2-h919. (Consultée le 14 novembre 2024)

G. Forni - Cohomological equation and Ruelle resonnences (Part 2)

Réalisation : 19 juin 2018 - Mise en ligne : 6 juillet 2018
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Descriptif

In these lectures we summarized results on the cohomological equation for translation flows on translation surfaces (myself, Marmi, Moussa and Yoccoz, Marmi and Yoccoz) and apply these results to the asymptotic of correlations for pseudo-Anosov maps, which were recently obtained by a direct method by Faure, Gouezel and Lanneau.  In this vein, we consider the generalization of this asymptotic to generic Teichmueller orbits (pseudo-Anosov maps correspond to periodic Teichmueller orbits) and to (partially hyperbolic) automorphisms of Heisenberg nilmanifolds (from results on the cohomological equation due to L. Flaminio and myself).

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