The Weil-Petersson geodesic flow is ergodic
classification
🧮 math.DS
math.GT
keywords
ergodicflowgeodesicmetricweil-peterssonbernoullientropyfact
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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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