Equidistribution of Dense Subgroups on Nilpotent Lie Groups
| dc.creator | Breuillard, Emmanuel | |
| dc.date | 2007-10-24 | |
| dc.date.accessioned | 2026-07-07T08:38:25Z | |
| dc.date.available | 2026-07-07T08:38:25Z | |
| dc.description | Let $Γ$ be a dense subgroup of a simply connected nilpotent Lie group $G$ generated by a finite symmetric set $S$. We consider the $n$-ball $S_n$ for the word metric induced by $S$ on $Γ$. We show that $S_n$ (with uniform measure) becomes equidistributed on $G$ with respect to the Haar measure as n tends to infinity. We give rates and also prove the analogous result for random walk averages (i.e. the local limit theorem). | |
| dc.description | 20 pages | |
| dc.identifier | https://arxiv.org/abs/0710.4489 | |
| dc.identifier | http://arxiv.org/abs/0710.4489 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/140723 | |
| dc.subject | Group Theory | |
| dc.subject | Dynamical Systems | |
| dc.subject | 60B15; 43A80; 22E25; 22F30 | |
| dc.title | Equidistribution of Dense Subgroups on Nilpotent Lie Groups | |
| dc.type | text |