2 citations · 2 across the 3 of their papers we have counts for
5 papers
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…
Random triangles on flat tori
Olivier Glorieux, Andrew Yarmola
Inspired by classical puzzles in geometry that ask about probabilities of geometric phenomena, we give an explicit formula for the probability that a random triangle on a flat toru…
The embedding of the space of negatively curved surfaces in geodesic currents
Olivier Glorieux
We prove by an algebraic method that the embedding of the Teichmuller space in the space of geodesic currents is totally linearly independent. We prove a similar result for all neg…
Topological mixing of the Weyl chamber flow
Nguyen-Thi Dang, Olivier Glorieux
In this paper, we study topological properties of the right action by translation of the Weyl Chamber flow on the space of Weyl chambers. We obtain a necessary and sufficient condi…
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…