Uniform distribution of orbits of lattices on spaces of frames
| dc.creator | Gorodnik, Alexander | |
| dc.date | 2003-10-16 | |
| dc.date.accessioned | 2026-07-07T05:01:57Z | |
| dc.date.available | 2026-07-07T05:01:57Z | |
| dc.description | We study distribution of orbits of a lattice Γ<SL(n,R) in the the space V_{n,l} of l-frames in R^n (1\le l\le n-1). Examples of dense Γ-orbits are known from the work of Dani, Raghavan, and Veech. We show that dense orbits of Γare uniformly distributed in V_{n,l} with respect to an explicitly described measure. We also establish analogous result for lattices in Sp(n,R) that act on the space of isotropic n-frames. | |
| dc.description | To be published in Duke Math. Journal, 31 pages | |
| dc.identifier | https://arxiv.org/abs/math/0310235 | |
| dc.identifier | http://arxiv.org/abs/math/0310235 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68870 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37A15, 22E40, 37A17 | |
| dc.title | Uniform distribution of orbits of lattices on spaces of frames | |
| dc.type | text |