Statistical hyperbolicity of relatively hyperbolic groups
Group Theory
2016-09-21 v3
Abstract
We prove that a non-elementary relatively hyperbolic group is statistically hyperbolic with respect to every finite generating set. We also establish statistical hyperbolicity for certain direct products of two groups, one of which is relatively hyperbolic.
Cite
@article{arxiv.1504.01011,
title = {Statistical hyperbolicity of relatively hyperbolic groups},
author = {Jeremy Osborne and Wen-yuan Yang},
journal= {arXiv preprint arXiv:1504.01011},
year = {2016}
}
Comments
12 pages; Several corrections and improvements on the exposition after referee report. Version to appear in Algebraic and Geometric Topology