Proximality and equidistribution on the Furstenberg boundary
Dynamical Systems
2007-05-23 v1
Abstract
Let G be a connected semisimple Lie group with finite center and without compact factors, P a minimal parabolic subgroup of G, and \Gamma a lattice in G. We prove that every \Gamma-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 \Gamma on G/P.
Cite
@article{arxiv.math/0406219,
title = {Proximality and equidistribution on the Furstenberg boundary},
author = {A. Gorodnik and F. Maucourant},
journal= {arXiv preprint arXiv:math/0406219},
year = {2007}
}