Quantitative recurrence and large deviations for Teichmuller geodesic flow
arXiv:math/0506158
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 of holomorphic unit-area quadratic differentials on a compact genus surface.
Appeared in Geometriae Dedicata, April 2006