The Weil-Petersson geodesic flow is ergodic
Dynamical Systems
2011-10-12 v3 Geometric Topology
Abstract
We prove that the geodesic flow for the Weil-Petersson metric on the moduli space of Riemann surfaces is ergodic (in fact Bernoulli) and has finite, positive metric entropy.
Cite
@article{arxiv.1004.5343,
title = {The Weil-Petersson geodesic flow is ergodic},
author = {Keith Burns and Howard Masur and Amie Wilkinson},
journal= {arXiv preprint arXiv:1004.5343},
year = {2011}
}
Comments
53 pages. Errors corrected in earlier version and some expository material removed. To appear in Annals of Math