An almost sure invariance principle for random walks in a space-time random environment
| dc.creator | Rassoul-Agha, F. | |
| dc.creator | Seppalainen, T. | |
| dc.date | 2004-11-26 | |
| dc.date.accessioned | 2026-07-07T06:21:43Z | |
| dc.date.available | 2026-07-07T06:21:43Z | |
| dc.description | We consider a discrete time random walk in a space-time i.i.d. random environment. We use a martingale approach to show that the walk is diffusive in almost every fixed environment. We improve on existing results by proving an invariance principle and considering environments with an annealed $L^2$ drift. We also state an a.s. invariance principle for random walks in general random environments whose hypothesis requires a subdiffusive bound on the variance of the quenched mean, under an ergodic invariant measure for the environment chain. | |
| dc.identifier | https://arxiv.org/abs/math/0411602 | |
| dc.identifier | http://arxiv.org/abs/math/0411602 | |
| dc.identifier | Probab. Th. Rel. Fields, 133(3), 299 - 314 (2005) | |
| dc.identifier | doi:10.1007/s00440-004-0424-1 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/95690 | |
| dc.subject | Probability | |
| dc.subject | Mathematical Physics | |
| dc.title | An almost sure invariance principle for random walks in a space-time random environment | |
| dc.type | text |