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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.DS2023
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…
math.DS2023
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…