Lattice action on the boundary of SL(n,R)
Dynamical Systems
2007-05-23 v1
Abstract
Let \Gamma be 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 \Gamma in 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.
Keywords
Cite
@article{arxiv.math/0310233,
title = {Lattice action on the boundary of SL(n,R)},
author = {Alexander Gorodnik},
journal= {arXiv preprint arXiv:math/0310233},
year = {2007}
}
Comments
21 pages