Flows on $S$-arithmetic homogeneous spaces and applications to metric Diophantine approximation
| dc.creator | Kleinbock, Dmitry | |
| dc.creator | Tomanov, George | |
| dc.date | 2005-06-24 | |
| dc.date.accessioned | 2026-07-07T05:21:08Z | |
| dc.date.available | 2026-07-07T05:21:08Z | |
| dc.description | The main goal of this work is to establish quantitative nondivergence estimates for flows on homogeneous spaces of products of real and $p$-adic Lie groups. These results have applications both to ergodic theory and to Diophantine approximation. Namely, earlier results of Dani (finiteness of locally finite ergodic unipotent-invariant measures on real homogeneous spaces) and Kleinbock-Margulis (strong extremality of nondegenerate submanifolds of $\Bbb R^n$) are generalized to the $S$-arithmetic setting. | |
| dc.description | 56 pages; an earlier version is available as an MPI (Bonn) preprint, 2003 | |
| dc.identifier | https://arxiv.org/abs/math/0506510 | |
| dc.identifier | http://arxiv.org/abs/math/0506510 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75582 | |
| dc.subject | Number Theory | |
| dc.subject | Dynamical Systems | |
| dc.subject | 11J83; 37A13 | |
| dc.title | Flows on $S$-arithmetic homogeneous spaces and applications to metric Diophantine approximation | |
| dc.type | text |