Abstract
Let Gamma be a lattice in G = SL(n, R) and X = G/S be 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 the uniform distribution of orbits of Gamma in X analogous to the classical equidistribution on a torus. To obtain this result, we first prove an ergodic theorem along balls in the connected component of a Borel subgroup of G.
| Translated title of the contribution | Lattice action on the boundary of SL(n,R) |
|---|---|
| Original language | English |
| Pages (from-to) | 1817-1837 |
| Number of pages | 21 |
| Journal | Ergodic Theory and Dynamical Systems |
| Volume | 23 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - Dec 2003 |