The stratum of random mapping classes
Geometric Topology
2016-07-06 v1
Abstract
We consider random walks on the mapping class group whose support generates a non-elementary subgroup and contains a pseudo-Anosov map whose invariant Teichm\"uller geodesic is in the principal stratum. For such random walks, we show that mapping classes along almost every infinite sample path are eventually pseudo-Anosov, with invariant Teichm\"uller geodesics in the principal stratum. This provides an answer to a question of Kapovich and Pfaff.
Cite
@article{arxiv.1607.01281,
title = {The stratum of random mapping classes},
author = {Vaibhav Gadre and Joseph Maher},
journal= {arXiv preprint arXiv:1607.01281},
year = {2016}
}
Comments
12 pages, 2 figures