3 papers
math.DS2025
On the distribution of the angle between Oseledets spaces
Jairo Bochi, Pablo Lessa
We study the distribution of the angles between Oseledets subspaces and their log-integrability, focusing on dimension . For random i.i.d. products of matrices, we construct exa…
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.GR2024
Quasi-isometric free group representations into SL_3(R)
León Carvajales, Pablo Lessa, Rafael Potrie
We study quasi-isometric representations of finitely generated non-abelian free groups into some higher rank semi-simple Lie groups which are not Anosov, nor approximated by Anosov…