Fluctuations of the quenched mean of a planar random walk in an i.i.d. random environment with forbidden direction
| dc.creator | Joseph, Mathew | |
| dc.date | 2008-09-01 | |
| dc.date.accessioned | 2026-07-07T09:59:54Z | |
| dc.date.available | 2026-07-07T09:59:54Z | |
| dc.description | We consider an i.i.d. random environment with a strong form of transience on the two dimensional integer lattice. Namely, the walk always moves forward in the y-direction. We prove a functional CLT for the quenched expected position of the random walk indexed by its level crossing times. We begin with a variation of the Martingale Central Limit Theorem. The main part of the paper checks the conditions of the theorem for our problem. | |
| dc.description | 21 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/0809.0320 | |
| dc.identifier | http://arxiv.org/abs/0809.0320 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/168191 | |
| dc.subject | Probability | |
| dc.subject | 60K37,60F05,60F17,82D30 | |
| dc.title | Fluctuations of the quenched mean of a planar random walk in an i.i.d. random environment with forbidden direction | |
| dc.type | text |