5 papers
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…
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…
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…
Geodesic tracking and the shape of ergodic rotation sets
Alejo García-Sassi, Pierre-Antoine Guihéneuf, Pablo Lessa
We prove a structure theorem for ergodic homological rotation sets of homeomorphisms isotopic to the identity on a closed orientable hyperbolic surface: this set is made of a finit…
Dimension gap and variational principle for Anosov representations
François Ledrappier, Pablo Lessa
We consider a representation of a finitely generated CAT(--K) group in SL(d, R) that is Zariski dense and k-Anosov for at least two values of k. We exhibit a gap for the Minkow…