Coincidence of Lyapunov exponents for random walks in weak random potentials
| dc.creator | Flury, Markus | |
| dc.date | 2006-08-14 | |
| dc.date | 2008-08-27 | |
| dc.date.accessioned | 2026-07-07T09:58:46Z | |
| dc.date.available | 2026-07-07T09:58:46Z | |
| dc.description | We investigate the free energy of nearest-neighbor random walks on $\mathbb{Z}^d$, endowed with a drift along the first axis and evolving in a nonnegative random potential given by i.i.d. random variables. Our main result concerns the ballistic regime in dimensions $d\geq4$, at which we show that quenched and annealed Lyapunov exponents are equal as soon as the strength of the potential is small enough. | |
| dc.description | Published in at http://dx.doi.org/10.1214/00-AOP368 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/0608357 | |
| dc.identifier | http://arxiv.org/abs/math/0608357 | |
| dc.identifier | Annals of Probability 2008, Vol. 36, No. 4, 1528-1583 | |
| dc.identifier | doi:10.1214/00-AOP368 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/167839 | |
| dc.subject | Probability | |
| dc.subject | Mathematical Physics | |
| dc.subject | 60K37 (Primary) 34D08, 60K35 (Secondary) | |
| dc.title | Coincidence of Lyapunov exponents for random walks in weak random potentials | |
| dc.type | text |