Bowen's construction for the Teichmueller flow
arXiv:1007.2289
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.
arXiv comment41 pages, 2 figures, argument streamlined, writing improved
References in corpus (5)
- Geometry of the Complex of Curves I: Hyperbolicity
- Connected components of the moduli spaces of Abelian differentials with prescribed singularities
- Train tracks and the Gromov boundary of the complex of curves
- Invariant Radon measures on measured lamination space
- Exponential Mixing for the Teichmuller flow in the Space of Quadratic Differentials