2003/10/16 by Alexander Gorodnik
Mathematics · #math.DS #msc:37A15 #msc:37A17 #msc:22E40
published as Ergodic Theory Dynam. Systems 23 (2003), 1--21 · 21 pages
arxiv created 2003/10/16 · arxiv updated 2009/12/01
Let 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.