Algebraic & Geometric Topology Volume 16, issue 4 (2016)

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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

Bibliography

1	B H Bowditch, Geometrical finiteness for hyperbolic groups, J. Funct. Anal. 113 (1993) 245 MR1218098
2	B H Bowditch, Relatively hyperbolic groups, Internat. J. Algebra Comput. 22 (2012) MR2922380
3	M Coornaert, Mesures de Patterson–Sullivan sur le bord d’un espace hyperbolique au sens de Gromov, Pacific J. Math. 159 (1993) 241 MR1214072
4	F Dahmani, Combination of convergence groups, Geom. Topol. 7 (2003) 933 MR2026551
5	S Dowdall, M Duchin, H Masur, Statistical hyperbolicity in Teichmüller space, Geom. Funct. Anal. 24 (2014) 748 MR3213829
6	C Druţu, M Sapir, Tree-graded spaces and asymptotic cones of groups, Topology 44 (2005) 959 MR2153979
7	M Duchin, S Lelièvre, C Mooney, Statistical hyperbolicity in groups, Algebr. Geom. Topol. 12 (2012) 1 MR2889542
8	M Duchin, C Mooney, Fine asymptotic geometry in the Heisenberg group, Indiana Univ. Math. J. 63 (2014) 885 MR3254527
9	V Gerasimov, Expansive convergence groups are relatively hyperbolic, Geom. Funct. Anal. 19 (2009) 137 MR2507221
10	V Gerasimov, L Potyagailo, Non-finitely generated relatively hyperbolic groups and Floyd quasiconvexity, Groups Geom. Dyn. 9 (2015) 369 MR3356972
11	V Gerasimov, L Potyagailo, Quasiconvexity in relatively hyperbolic groups, J. Reine Angew. Math. 710 (2016) 95 MR3437561
12	M Gromov, Hyperbolic groups, from: "Essays in group theory" (editor S M Gersten), Math. Sci. Res. Inst. Publ. 8, Springer (1987) 75 MR919829
13	G C Hruska, Relative hyperbolicity and relative quasiconvexity for countable groups, Algebr. Geom. Topol. 10 (2010) 1807 MR2684983
14	G C Hruska, B Kleiner, Hadamard spaces with isolated flats, Geom. Topol. 9 (2005) 1501 MR2175151
15	J Osborne, Statistical Hyperbolicity of Relatively Hyperbolic Groups, PhD thesis, The University of Wisconsin, Milwaukee (2014) MR3312908
16	D V Osin, Relatively hyperbolic groups: intrinsic geometry, algebraic properties, and algorithmic problems, 843 (2006) MR2182268
17	W y Yang, Patterson–Sullivan measures and growth of relatively hyperbolic groups, preprint (2013) arXiv:1308.6326
18	W y Yang, Growth tightness for groups with contracting elements, Math. Proc. Cambridge Philos. Soc. 157 (2014) 297 MR3254594