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• W2005188672 abstract "We study the dynamics of the Teichmüller 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 Hölder observables. A geometric consequence is that the $SL(2,mathbb{R})$ action in the moduli space has a spectral gap." @default.
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• W2005188672 date "2006-11-01" @default.
• W2005188672 modified "2023-10-16" @default.
• W2005188672 title "Exponential mixing for the Teichmüller flow" @default.
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• W2005188672 doi "https://doi.org/10.1007/s10240-006-0001-5" @default.
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