Abstract
We prove that the geodesic flow for the Weil-Petersson metric on the moduli space of Riemann surfaces is ergodic (and in fact Bernoulli) and has finite, positive metric entropy.
Original language | English (US) |
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Pages (from-to) | 835-908 |
Number of pages | 74 |
Journal | Annals of Mathematics |
Volume | 175 |
Issue number | 2 |
DOIs | |
State | Published - Mar 2012 |
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty