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Quantitative recurrence and large deviations for Teichmuller geodesic flow

Jayadev S. Athreya
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Abstract

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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Jayadev S. Athreya. 2006-10-08. Quantitative recurrence and large deviations for Teichmuller geodesic flow. https://arxiv.org/abs/math/0506158

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