15 February 2011 Random walks on the mapping class group
Joseph Maher
Author Affiliations +
Duke Math. J. 156(3): 429-468 (15 February 2011). DOI: 10.1215/00127094-2010-216

Abstract

We show that a random walk on the mapping class group of an orientable surface gives rise to a pseudo-Anosov element with asymptotic probability one. Our methods apply to many subgroups of the mapping class group, including the Torelli group.

Citation

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Joseph Maher. "Random walks on the mapping class group." Duke Math. J. 156 (3) 429 - 468, 15 February 2011. https://doi.org/10.1215/00127094-2010-216

Information

Published: 15 February 2011
First available in Project Euclid: 9 February 2011

zbMATH: 1213.37072
MathSciNet: MR2772067
Digital Object Identifier: 10.1215/00127094-2010-216

Subjects:
Primary: 37E30
Secondary: 20F65 , 20H10 , 60G50

Rights: Copyright © 2011 Duke University Press

Vol.156 • No. 3 • 15 February 2011
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