Decaimento exponencial do Fluxo de Teichmüller no espaço de módulos de diferenciais quadráticas
Maria João Resende
We study the Veech flow with involution in the moduli space of zippered rectangles and prove that it is exponentially mixing for a natural class of observables. Using this fact and the canonical SL(2;R)-action we conclude that the Teichmüller flow is exponentially mixing for the Ratner class of observables, restricted to an arbitrary connected component of each stratum of the moduli space. This generalizes a result of Avila, Gouëzel, and Yoccoz, who considered the case of strata of squares.