2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/101342We 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 2006Dynamical SystemsDifferential Geometry32G15, 37A10text