English

On genericity of pseudo-Anosovs in the Torelli group

Geometric Topology 2011-04-06 v2

Abstract

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.

Keywords

Cite

@article{arxiv.1102.0601,
  title  = {On genericity of pseudo-Anosovs in the Torelli group},
  author = {Justin Malestein and Juan Souto},
  journal= {arXiv preprint arXiv:1102.0601},
  year   = {2011}
}

Comments

11 pages, minor improvement to results