An almost sure invariance principle for renormalized intersection local times
| dc.creator | Bass, Richard F. | |
| dc.creator | Rosen, Jay | |
| dc.date | 2004-07-08 | |
| dc.date.accessioned | 2026-07-07T05:10:07Z | |
| dc.date.available | 2026-07-07T05:10:07Z | |
| dc.description | Let β_k(n) be the number of self-intersections of order k, appropriately renormalized, for a mean zero random walk X_n in Z^2 with 2+δmoments. On a suitable probability space we can construct X_n and a planar Brownian motion W_t such that for each k\geq 2, |β_k(n)-γ_k(n)|=O(n^{-a}), a.s. for some a>0 where γ_k(n) is the renormalized self-intersection local time of order k at time 1 for the Brownian motion W_{nt}/\sqrt n. | |
| dc.identifier | https://arxiv.org/abs/math/0407149 | |
| dc.identifier | http://arxiv.org/abs/math/0407149 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71830 | |
| dc.subject | Probability | |
| dc.subject | 60F17; 60J55 | |
| dc.title | An almost sure invariance principle for renormalized intersection local times | |
| dc.type | text |