Stable Type of the Mapping Class Group
Dynamical Systems
2013-10-22 v1
Abstract
We use dynamics of the Teichmller geodesic flow to show that the action of the mapping class group on the space of projective measured foliations has stable type for some . We do this by generalizing a criterion due to Bowen for a number to be in the stable ratio set, and proving some Patterson-Sullivan type results for the Thurston measure on .
Keywords
Cite
@article{arxiv.1310.5364,
title = {Stable Type of the Mapping Class Group},
author = {Ilya Gekhtman},
journal= {arXiv preprint arXiv:1310.5364},
year = {2013}
}