2 papers
math.DG2025
Volume growth of horospheres in diagonalizable Heintze groups
Gilles Courtois, Pablo Lessa, Emiliano Sequeira
We study the volume growth of horospheres in a Heintze group of the form R ___ A R d with A a diagonal derivation. We conclude that the isometry and quasi-isometry classes of horos…
math.DS2024
Hausdorff dimension, diverging Schottky representations and the infinite dimensional hyperbolic space
Antonin Guilloux, Gilles Courtois
One of our main goals in this paper is to understand the behavior of limit sets of a diverging sequence of Schottky groups in the group of isometries of the N-dimensional hyperboli…