2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68868Let Γbe a lattice in G=SL(n,R) and X=G/S a homogeneous space of G, where S is a closed subgroup of G which contains a real algebraic subgroup H such that G/H is compact. We establish uniform distribution of orbits of Γin X analogous to the classical equidistribution on torus. To obtain this result, we first prove an ergodic theorem along balls in the connected component of Borel subgroup of G.21 pagesDynamical Systems37A15, 37A17, 22E40text