Convexes Hyperboliques et Quasiisométries

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Around groups in Hilbert Geometry (2013, unknown): “11 (Benoist d = 4 [11], Kapovich d > 4 [48]).”
Convex projective structures on nonhyperbolic three-manifolds (2015, background): “Benoist [2] constructed the first example of such an orbifold by realizing a truncation polyhedron, ie a polyhedron obtained from a threedimensional tetrahedron by successively truncating vertices, as a reflection polyhedron in projective space.”
Anosov representations: domains of discontinuity and applications (2011, background): “Examples of convex real projective structures on manifolds whose fundamental groups are not isomorphic to a lattice in a Lie group have been constructed by Benoist [9, 10].”
Convex projective structures on Gromov-Thurston manifolds (2006, methodology): “The paper [ 3 ] also produces “exotic” strictly convex subsets in RPn for all n 3: The metric space .;dH/ is Gromov-hyperbolic but is not quasi-isometric to Hn , where dH is”