Large deviations estimates for self-intersection local times for simple random walk in $\Z^3$
| dc.creator | Asselah, Amine | |
| dc.date | 2006-02-04 | |
| dc.date.accessioned | 2026-07-07T07:03:07Z | |
| dc.date.available | 2026-07-07T07:03:07Z | |
| dc.description | We obtain large deviations estimates for the self-intersection local times for a symmetric random walk in dimension 3. Also, we show that the main contribution to making the self-intersection large, in a time period of length $n$, comes from sites visited less than some power of $\log(n)$. This is opposite to the situation in dimensions larger or equal to 5. Finally, we present two applications of our estimates: (i) to moderate deviations estimates for the range of a random walk, and (ii) to moderate deviations for random walk in random sceneries. | |
| dc.description | 23 pages | |
| dc.identifier | https://arxiv.org/abs/math/0602074 | |
| dc.identifier | http://arxiv.org/abs/math/0602074 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/108850 | |
| dc.subject | Probability | |
| dc.subject | 60K35, 82C22,60J25 | |
| dc.title | Large deviations estimates for self-intersection local times for simple random walk in $\Z^3$ | |
| dc.type | text |