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
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
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