Logarithmic speeds for one-dimensional perturbed random walk in random environment
| dc.creator | Menshikov, M. V. | |
| dc.creator | Wade, Andrew R. | |
| dc.date | 2006-08-28 | |
| dc.date | 2007-06-12 | |
| dc.date.accessioned | 2026-07-07T09:38:05Z | |
| dc.date.available | 2026-07-07T09:38:05Z | |
| dc.description | We study the random walk in random environment on {0,1,2,...}, where the environment is subject to a vanishing (random) perturbation. The two particular cases we consider are: (i) random walk in random environment perturbed from Sinai's regime; (ii) simple random walk with random perturbation. We give almost sure results on how far the random walker will be from the origin after a long time t, for almost every environment. We give both upper and lower almost sure bounds. These bounds are of order $(\log t)^β$, for $β\in (1,\infty)$, depending on the perturbation. In addition, in the ergodic cases, we give results on the rate of decay of the stationary distribution. | |
| dc.description | Revised version | |
| dc.identifier | https://arxiv.org/abs/math/0608697 | |
| dc.identifier | http://arxiv.org/abs/math/0608697 | |
| dc.identifier | Stochastic Processes and their Applications, Vol. 118 (2008), no. 3, p. 389-416 | |
| dc.identifier | doi:10.1016/j.spa.2007.04.011 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/160682 | |
| dc.subject | Probability | |
| dc.subject | 60K37 (Primary) 60J10, 60F15, 60G50 (Secondary) | |
| dc.title | Logarithmic speeds for one-dimensional perturbed random walk in random environment | |
| dc.type | text |