On laws of large numbers for random walks
| dc.creator | Karlsson, Anders | |
| dc.creator | Ledrappier, François | |
| dc.date | 2006-11-20 | |
| dc.date.accessioned | 2026-07-07T07:33:08Z | |
| dc.date.available | 2026-07-07T07:33:08Z | |
| dc.description | We prove a general noncommutative law of large numbers. This applies in particular to random walks on any locally finite homogeneous graph, as well as to Brownian motion on Riemannian manifolds which admit a compact quotient. It also generalizes Oseledec's multiplicative ergodic theorem. In addition, we show that $ε$-shadows of any ballistic random walk with finite moment on any group eventually intersect. Some related results concerning Coxeter groups and mapping class groups are recorded in the last section. | |
| dc.description | Published at http://dx.doi.org/10.1214/009117906000000296 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org) | |
| dc.identifier | https://arxiv.org/abs/math/0611607 | |
| dc.identifier | http://arxiv.org/abs/math/0611607 | |
| dc.identifier | Annals of Probability 2006, Vol. 34, No. 5, 1693-1706 | |
| dc.identifier | doi:10.1214/009117906000000296 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/119354 | |
| dc.subject | Probability | |
| dc.subject | 60F99, 60B99, 37A30 (Primary) 60J50, 60J65 (Secondary) | |
| dc.title | On laws of large numbers for random walks | |
| dc.type | text |