Volume 12, issue 1 (2012)

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Statistical hyperbolicity in groups

Moon Duchin, Samuel Lelièvre and Christopher Mooney

Algebraic & Geometric Topology 12 (2012) 1–18
Bibliography
1 J Arias-de-Reyna, K Ball, R Villa, Concentration of the distance in finite-dimensional normed spaces, Mathematika 45 (1998) 245 MR1695717
2 K Ball, An elementary introduction to modern convex geometry, from: "Flavors of geometry", Math. Sci. Res. Inst. Publ. 31, Cambridge Univ. Press (1997) 1 MR1491097
3 D Y Burago, Periodic metrics, from: "Representation theory and dynamical systems", Adv. Soviet Math. 9, Amer. Math. Soc. (1992) 205 MR1166203
4 J W Cannon, Almost convex groups, Geom. Dedicata 22 (1987) 197 MR877210
5 S Cleary, J Taback, Thompson’s group F is not almost convex, J. Algebra 270 (2003) 133 MR2016653
6 M Coornaert, Mesures de Patterson–Sullivan sur le bord d’un espace hyperbolique au sens de Gromov, Pacific J. Math. 159 (1993) 241 MR1214072
7 S Dowdall, M Duchin, H Masur, Statistical hyperbolicity in Teichmüller space arXiv:1108.5416
8 S Dowdall, M Duchin, H Masur, Spheres in the curve complex arXiv:1109.6338
9 M Duchin, S Lelièvre, C Mooney, The geometry of spheres in free abelian groups arXiv:1004.0053
10 M Duchin, S Lelièvre, C Mooney, The sprawl conjecture for convex bodies, Preprint
11 M Duchin, C Mooney, Fine asymptotic geometry in the Heisenberg group arXiv:1106.5276
12 M Elder, S Hermiller, Minimal almost convexity, J. Group Theory 8 (2005) 239 MR2126733
13 A Eskin, D Fisher, K Whyte, Quasi-isometries and rigidity of solvable groups, Pure Appl. Math. Q. 3 (2007) 927 MR2402598
14 S M Gersten, Quadratic divergence of geodesics in CAT(0) spaces, Geom. Funct. Anal. 4 (1994) 37 MR1254309
15 S M Gersten, Divergence in 3-manifold groups, Geom. Funct. Anal. 4 (1994) 633 MR1302334
16 E Gluskin, V Milman, Randomizing properties of convex high-dimensional bodies and some geometric inequalities, C. R. Math. Acad. Sci. Paris 334 (2002) 875 MR1909931
17 S Hermiller, J Meier, Measuring the tameness of almost convex groups, Trans. Amer. Math. Soc. 353 (2001) 943 MR1804409
18 M Kapovich, B Leeb, 3-manifold groups and nonpositive curvature, Geom. Funct. Anal. 8 (1998) 841 MR1650098
19 G Kuperberg, From the Mahler conjecture to Gauss linking integrals, Geom. Funct. Anal. 18 (2008) 870 MR2438998
20 E Lutwak, Selected affine isoperimetric inequalities, from: "Handbook of convex geometry, Vol. A, B", North-Holland (1993) 151 MR1242979
21 Y Ollivier, Ricci curvature of Markov chains on metric spaces, J. Funct. Anal. 256 (2009) 810 MR2484937
22 Y Ollivier, C Villani, A curved Brunn-Minkowski inequality on the discrete hypercube arXiv:1011.4779
23 W Woess, Lamplighters, Diestel–Leader graphs, random walks, and harmonic functions, Combin. Probab. Comput. 14 (2005) 415 MR2138121