The local time of a random walk on growing hypercubes
| dc.creator | Andreoletti, Pierre | |
| dc.date | 2009-03-16 | |
| dc.date.accessioned | 2026-07-07T12:52:50Z | |
| dc.date.available | 2026-07-07T12:52:50Z | |
| dc.description | We study a random walk in a random environment (RWRE) on $\Z^d$, $1 \leq d < +\infty$. The main assumptions are that conditionned on the environment the random walk is reversible. Moreover we construct our environment in such a way that the walk can't be trapped on a single point like in some particular RWRE but in some specific d-1 surfaces. These surfaces are basic surfaces with deterministic geometry. We prove that the local time in the neighborhood of these surfaces is driven by a function of the (random) reversible measure. As an application we get the limit law of the local time as a process on these surfaces. | |
| dc.description | 24 pages | |
| dc.identifier | https://arxiv.org/abs/0903.2696 | |
| dc.identifier | http://arxiv.org/abs/0903.2696 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/223423 | |
| dc.subject | Probability | |
| dc.subject | 60G50; 60J55 | |
| dc.title | The local time of a random walk on growing hypercubes | |
| dc.type | text |