Quantitative recurrence and large deviations for Teichmuller geodesic flow

Mathematics – Dynamical Systems

Scientific paper

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Appeared in Geometriae Dedicata, April 2006

Scientific paper

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.

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