Orbits of discrete subgroups on a symmetric space and the Furstenberg boundary
| dc.creator | Gorodnik, Alexander | |
| dc.creator | Oh, Hee | |
| dc.date | 2004-05-27 | |
| dc.date.accessioned | 2026-07-07T05:08:38Z | |
| dc.date.available | 2026-07-07T05:08:38Z | |
| dc.description | Let X be a symmetric space of noncompact type and Γa lattice in the isometry group of X. We study the distribution of orbits of Γacting on the symmetric space X and its geometric boundary X(\infty). More precisely, for any y in X and b in X(\infty), we investigate the distribution of the set {(yγ,bγ^{-1}):γ\inΓ} in X\times X(\infty). It is proved, in particular, that the orbits of Γin the Furstenberg boundary are equidistributed, and that the orbits of Γin X are equidistributed in ``sectors'' defined with respect to a Cartan decomposition. We also discuss an application to the Patterson-Sullivan theory. Our main tools are the strong wavefront lemma and the equidistribution of solvable flows on homogeneous spaces. | |
| dc.identifier | https://arxiv.org/abs/math/0405515 | |
| dc.identifier | http://arxiv.org/abs/math/0405515 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71341 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Group Theory | |
| dc.subject | 57S30; 37A17; 22E40 | |
| dc.title | Orbits of discrete subgroups on a symmetric space and the Furstenberg boundary | |
| dc.type | text |