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.
- Publication:
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arXiv e-prints
- Pub Date:
- July 2010
- DOI:
- arXiv:
- arXiv:1007.2289
- Bibcode:
- 2010arXiv1007.2289H
- Keywords:
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- Mathematics - Dynamical Systems;
- Mathematics - Geometric Topology;
- 37C40;
- 37C27;
- 30F60
- E-Print:
- 41 pages, 2 figures, argument streamlined, writing improved