On genericity of pseudo-Anosovs in the Torelli group

Details On genericity of pseudo-Anosovs in the Torelli group On genericity of pseudo-Anosovs in the Torelli group

2011-02-03

arxiv.org/abs/1102.0601v2

Mathematics

Geometric Topology

11 pages, minor improvement to results

Scientific paper

We show that, for any (symmetric) finite generating set of the Torelli group
of a closed surface, the probability that a random word is not pseudo-Anosov
decays exponentially in terms of the length of the word.

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