Bowen's construction for the Teichmueller flow

Abstract

Let Q be a connected component of a stratum in the space of quadratic differentials for a non-exceptional Riemann surface of finite type. We show that the probability measure on Q in the Lebesgue measure class which is invariant under the Teichmueller flow is obtained by Bowen's construction.

41 pages, 2 figures, argument streamlined, writing improved

References in corpus (2)

• Train tracks and the Gromov boundary of the complex of curves
• Exponential Mixing for the Teichmuller flow in the Space of Quadratic Differentials