Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Ergodic actions of the mapping class group


Author: Howard Masur
Journal: Proc. Amer. Math. Soc. 94 (1985), 455-459
MSC: Primary 32G15; Secondary 30F10, 58F17
MathSciNet review: 787893
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 32G15, 30F10, 58F17

Retrieve articles in all journals with MSC: 32G15, 30F10, 58F17


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1985-0787893-5
Keywords: Measured foliations, horocyclic flow
Article copyright: © Copyright 1985 American Mathematical Society