2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71525Let G be a connected semisimple Lie group with finite center and without compact factors, P a minimal parabolic subgroup of G, and Γa lattice in G. We prove that every Γ-orbits in the Furstenberg boundary G/P is equidistributed for the averages over Riemannian balls. The proof is based on the proximality of the action of Γon G/P.Dynamical Systems37A17; 22E40; 57S30text