Olivier Glorieux

Publications20
h-index5
Citations72
Highly Influential Citations5
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Towards Adaptive Role Selection for Behavior-Based Agents
TLDR
Simulation results are discussed that show how the model enables the agents in the Packet-World to adapt their behavior to changes in the environment. Expand
Critical Exponent and Hausdorff Dimension in Pseudo-Riemannian Hyperbolic Geometry
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 $\textrm{PO}(p,q+1)$ introduced by Danciger,… Expand
Regularity of limit sets of AdS quasi-Fuchsian groups
Limit sets of $\mathrm{AdS}$-quasi-Fuchsian groups of $\mathrm{PO}(n,2)$ are always Lipschitz submanifolds. The aim of this article is to show that they are never $\mathcal{C}^1$, except for the case… Expand
Critical exponent and Hausdorff dimension for quasi-Fuchsian AdS manifolds
The aim of this article is to understand the geometry of limit sets in Anti-de Sitter space. We focus on a particular type of subgroups of $\mathrm{SO}(2,n)$ called quasi-Fuchsian groups (which are… Expand
Hausdorff dimension of limit sets for projective Anosov representations
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 symmetric limit set in… Expand
A role based model for adaptive agents
TLDR
Simulation results are discussed that show how the model enables the agents in the Packet-World to adapt their behavior to changes in the environment. Expand
Critical exponent for geodesic currents
For any geodesic current we associated a quasi-metric space. For a subclass of geodesic currents, called filling, it defines a metric and we study the critical exponent associated to this space. We… Expand
Counting closed geodesics in globally hyperbolic maximal compact AdS 3-manifolds
We propose a definition for the length of closed geodesics in a globally hyperbolic maximal compact (GHMC) Anti-De Sitter manifold. We then prove that the number of closed geodesics of length less… Expand
Entropy of embedded surfaces in quasi-fuchsian manifolds
We compare critical exponent for quasi-Fuchsian groups acting on the hyperbolic 3-space, $\mathbb{H}^3$, and on invariant disks embedded in $\mathbb{H}^3$. We give a rigidity theorem for all embedded… Expand
Critical exponent of graphed Teichmüller representations on ℍ 2 ×ℍ 2
— In this note we survey different results on critical exponent. After giving the general setting and classical known results we study critical exponent associated to a pair of Teichmüller… Expand
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