Exponential mixing for the Teichmuller flow

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We study the dynamics of the Teichmuller flow in the moduli space of Abelian differentials (and more generally, its restriction to any connected component of a stratum). We show that the (Masur-Veech) absolutely continuous invariant probability measure is exponentially mixing for the class of Holder observables. A geometric consequence is that the $\SL(2,\R)$ action in the moduli space has a spectral gap.
49 pages

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Dynamical Systems, Geometric Topology

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http://salesiana.dossiersoluciones.com/handle/123456789/105075

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0511614
 http://arxiv.org/abs/math/0511614

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arXiv