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arXiv · 1004.5343

The Weil-Petersson geodesic flow is ergodic

Keith Burns·Howard Masur·Amie Wilkinson
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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.

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Keith Burns, Howard Masur, Amie Wilkinson. 2011-10-11. The Weil-Petersson geodesic flow is ergodic. https://arxiv.org/abs/1004.5343

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