English

Bowen's construction for the Teichmueller flow

Dynamical Systems 2011-01-11 v2 Geometric Topology

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.

Keywords

Cite

@article{arxiv.1007.2289,
  title  = {Bowen's construction for the Teichmueller flow},
  author = {Ursula Hamenstaedt},
  journal= {arXiv preprint arXiv:1007.2289},
  year   = {2011}
}

Comments

41 pages, 2 figures, argument streamlined, writing improved

R2 v1 2026-06-21T15:47:55.523Z