Geodesic
Statistical hyperbolicity of relatively hyperbolic groups
Osborne, Jeremy1 ; Yang, Wen-yuan2
1University of Wisconsin, Mathematics and Physics Department, Kenosha, WI 53144, United States
2Beijing International Center for Mathematical Research & School of Mathematical Sciences, Peking University, Beijing, 100871, China
Algebraic and Geometric Topology, Tome 16 (2016) no. 4, pp. 2143-2158
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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.

DOI : 10.2140/agt.2016.16.2143
Classification : 20F65, 20F67
Keywords: Relatively hyperbolic groups, Statistical hyperbolicity, Growth function

Osborne, Jeremy  1   ; Yang, Wen-yuan  2

1 University of Wisconsin, Mathematics and Physics Department, Kenosha, WI 53144, United States
2 Beijing International Center for Mathematical Research & School of Mathematical Sciences, Peking University, Beijing, 100871, China 
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Osborne, Jeremy; Yang, Wen-yuan. Statistical hyperbolicity of relatively hyperbolic groups. Algebraic and Geometric Topology, Tome 16 (2016) no. 4, pp. 2143-2158. doi: 10.2140/agt.2016.16.2143

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