Exponential mixing for the Teichmuller flow

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dc.creatorAvila, Artur
dc.creatorGouezel, Sebastien
dc.creatorYoccoz, Jean-Christophe
dc.date2005-11-24
dc.date.accessioned2026-07-07T06:51:42Z
dc.date.available2026-07-07T06:51:42Z
dc.descriptionWe 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.
dc.description49 pages
dc.identifierhttps://arxiv.org/abs/math/0511614
dc.identifierhttp://arxiv.org/abs/math/0511614
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105075
dc.subjectDynamical Systems
dc.subjectGeometric Topology
dc.titleExponential mixing for the Teichmuller flow
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