Quenched large deviations for multidimensional random walk in random environment: a variational formula
| dc.creator | Rosenbluth, Jeffrey M. | |
| dc.date | 2008-04-09 | |
| dc.date.accessioned | 2026-07-07T09:31:18Z | |
| dc.date.available | 2026-07-07T09:31:18Z | |
| dc.description | We take the point of view of the particle in a multidimensional nearest neighbor random walk in random environment (RWRE). We prove a quenched large deviation principle and derive a variational formula for the quenched rate function. Most of the previous results in this area rely on the subadditive ergodic theorem. We employ a different technique which is based on a minimax theorem. Large deviation principles for RWRE have been proven for i.i.d. nestling environments subject to a moment condition and for ergodic uniformly elliptic environments. We assume only that the environment is ergodic and the transition probabilities satisfy a moment condition. | |
| dc.description | 60 pages. A dissertation submitted in partial fulfillment of the requirements for the Ph.D. degree of the Mathematics Department at New York University (January, 2006) | |
| dc.identifier | https://arxiv.org/abs/0804.1444 | |
| dc.identifier | http://arxiv.org/abs/0804.1444 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/158411 | |
| dc.subject | Probability | |
| dc.subject | 82C44; 60F10. | |
| dc.title | Quenched large deviations for multidimensional random walk in random environment: a variational formula | |
| dc.type | text |