Logarithm laws for unipotent flows, I
| dc.creator | Athreya, Jayadev S. | |
| dc.creator | Margulis, Grigorii | |
| dc.date | 2008-11-17 | |
| dc.date | 2009-05-18 | |
| dc.date.accessioned | 2026-07-07T13:15:25Z | |
| dc.date.available | 2026-07-07T13:15:25Z | |
| dc.description | We prove analogues of the logarithm laws of Sullivan and Kleinbock-Margulis in the context of unipotent flows. In particular, we obtain results for one-parameter actions on the space of lattices $SL(n, \R)/SL(n, \Z)$. The key lemma for our results says the measure of the set of unimodular lattices in $\R^n$ that does not intersect a `large' volume subset of $\R^n$ is `small'. This can be considered as a `random' analogue of the classical Minkowski theorem in the geometry of numbers. | |
| dc.description | submitted to the Journal of Modern Dynamics; revised version, paper is now split into two pieces, this first half contains results on the space of lattices, the second part will contain results on general homogeneous spaces | |
| dc.identifier | https://arxiv.org/abs/0811.2806 | |
| dc.identifier | http://arxiv.org/abs/0811.2806 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/230462 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Number Theory | |
| dc.subject | 327A17 (Primary), 11H16 (Secondary) | |
| dc.title | Logarithm laws for unipotent flows, I | |
| dc.type | text |