Some properties of the rate function of quenched large deviations for random walk in random environment
| dc.creator | Devulder, Alexis | |
| dc.date | 2005-02-15 | |
| dc.date.accessioned | 2026-07-07T05:17:03Z | |
| dc.date.available | 2026-07-07T05:17:03Z | |
| dc.description | In this paper, we are interested in some questions of Greven and den Hollander about the rate function $I\_η^q$ of quenched large deviations for random walk in random environment. By studying the hitting times of RWRE, we prove that in the recurrent case, $\lim\_{θ\to 0^+}(I\_η^q)''(θ)=+\infty$, which gives an affirmative answer to a conjecture of Greven and den Hollander. We also establish a comparison result between the rate function of quenched large deviations for a diffusion in a drifted Brownian potential, and the rate function for a drifted Brownian motion with the same speed. | |
| dc.identifier | https://arxiv.org/abs/math/0502316 | |
| dc.identifier | http://arxiv.org/abs/math/0502316 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74210 | |
| dc.subject | Probability | |
| dc.subject | AMS (2000) Classification: 60K37, 60F10, 60J60 | |
| dc.title | Some properties of the rate function of quenched large deviations for random walk in random environment | |
| dc.type | text |