Quantitative recurrence and large deviations for Teichmuller geodesic flow

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We prove quantitative recurrence and large deviations results for the Teichmuller geodesci flow on a connected component of a stratum of the moduli space $Q_g$ of holomorphic unit-area quadratic differentials on a compact genus $g \geq 2$ surface.
Appeared in Geometriae Dedicata, April 2006

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