Statistical hyperbolicity of relatively hyperbolic groups

Osborne, Jeremy; Yang, Wen-yuan

doi:10.2140/agt.2016.16.2143

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Statistical hyperbolicity of relatively hyperbolic groups

Jeremy Osborne and Wen-yuan Yang

Algebraic & Geometric Topology 16 (2016) 2143–2158

DOI: 10.2140/agt.2016.16.2143

Abstract

We prove that a nonelementary relatively hyperbolic group is statistically hyperbolic with respect to every finite generating set. We also establish the statistical hyperbolicity for certain direct products of two groups, one of which is relatively hyperbolic.

Keywords

Relatively hyperbolic groups, Statistical hyperbolicity, Growth function

Mathematical Subject Classification 2010

Primary: 20F65, 20F67

References

Publication

Received: 30 April 2015

Revised: 8 September 2015

Accepted: 30 September 2015

Published: 12 September 2016

Authors

Jeremy Osborne
University of Wisconsin Mathematics and Physics Department Kenosha, WI 53144 United States

Wen-yuan Yang
Beijing International Center for Mathematical Research & School of Mathematical Sciences Peking University Beijing, 100871 China
http://bicmr.pku.edu.cn/~wyang

Volume 16, issue 4 (2016)