3 citations · 8 across the 9 of their papers we have counts for
6 papers · 1 filter
Critical exponents of normal subgroups in higher rank
Olivier Glorieux, Samuel Tapie
We study the critical exponents of discrete subgroups of a higher rank semi-simple real linear Lie group . Let us fix a Cartan subspace of the L…
Hausdorff dimension of limit sets for projective Anosov representations
Olivier Glorieux, Daniel Monclair, Nicolas Tholozan
We study the relation between critical exponents and Hausdorff dimensions of limit sets for projective Anosov representations. We prove that the Hausdorff dimension of the symmetri…
Regularity of limit sets of AdS quasi-Fuchsian groups
Olivier Glorieux, Daniel Monclair
Limit sets of -quasi-Fuchsian groups of are always Lipschitz submanifolds. The aim of this article is to show that they are never ,…
Convergence of quasi-Fuchsian groups using critical exponent
Olivier Glorieux
We prove that a sequence of quasi-Fuchsian representations for which the critical exponent converges to the topological dimension of the boundary of the group (larger than 2), conv…
Critical exponent and Hausdorff dimension in pseudo-Riemannian hyperbolic geometry
Olivier Glorieux, Daniel Monclair
The aim of this article is to understand the geometry of limit sets in pseudo-Riemannian hyperbolic geometry. We focus on a class of subgroups of introduced by…
Entropy of embedded surfaces in quasi-fuchsian manifolds
Olivier Glorieux
We compare critical exponent for quasi-Fuchsian groups acting on the hyperbolic 3-space, , and on invariant disks embedded in . We give a rigidity theor…