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.
| Translated title of the contribution | Proximality and equidistribution on the Furstenberg boundary |
|---|---|
| Original language | English |
| Pages (from-to) | 197 - 213 |
| Number of pages | 17 |
| Journal | Geometriae Dedicata |
| Volume | 113 (1) |
| DOIs | |
| Publication status | Published - Jun 2005 |