43 citations · 139 across the 17 of their papers we have counts for
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Curvature-Free Margulis Lemma for Gromov-Hyperbolic Spaces
Gérard Besson, Gilles Courtois, Sylvestre Gallot +1
We prove curvature-free versions of the celebrated Margulis Lemma. We are interested by both the algebraic aspects and the geometric ones, with however an emphasis on the second an…
Entropy and finiteness of groups with acylindrical splittings
Filippo Cerocchi, Andrea Sambusetti
We prove that there exists a positive, explicit function such that, for any group admitting a -acylindrical splitting and any generating set of with $\math…
Growth gap in hyperbolic groups and amenability
Rémi Coulon, Françoise Dal'Bo, Andrea Sambusetti
We prove a general version of the amenability conjecture in the unified setting of a Gromov hyperbolic group G acting properly cocompactly either on its Cayley graph, or on a CAT(-…
Local topological rigidity of non-geometric -manifolds
Filippo Cerocchi, Andrea Sambusetti
We study Riemannian metrics on compact, torsionless, non-geometric -manifolds, i.e. whose interior does not support any of the eight model geometries. We prove a lower bound "à…
Entropy Rigidity of negatively curved manifolds of finite volume
M. Peigne, A. Sambusetti
We prove the following entropy-rigidity result in finite volume: if is a negatively curved manifold with curvature , then if and only…