Ergodic actions of the mapping class group

Masur, Howard

doi:10.1090/S0002-9939-1985-0787893-5

Ergodic actions of the mapping class group
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Proc. Amer. Math. Soc. 94 (1985), 455-459 Request permission

Abstract:

We prove that the horocyclic flow on the moduli space of a compact Riemann surface is ergodic. We also show that the mapping class group acts ergodically on Thurston’s space of measured foliations.

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On the dynamics of diffeomorphisms of surfaces