Random walks on the mapping class group

Details Random walks on the mapping class group Random walks on the mapping class group

2006-04-19

arxiv.org/abs/math/0604433v4

Mathematics

Geometric Topology

31 pages, 7 figures. v2: Added references to work of Rivin and I. Kapovich. v3: This version now only contains the mapping cla

Scientific paper

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.

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