An LIL for cover times of disks by planar random walk and Wiener sausage
| dc.creator | Hough, J. Ben | |
| dc.creator | Peres, Yuval | |
| dc.date | 2004-09-15 | |
| dc.date | 2005-01-24 | |
| dc.date.accessioned | 2026-07-07T05:12:07Z | |
| dc.date.available | 2026-07-07T05:12:07Z | |
| dc.description | Let R_n be the radius of the largest disk covered after n steps of a simple random walk. We prove that almost surely limsup_{n \to \infty}(log R_n)^2/(log n log_3 n) = 1/4, where log_3 denotes 3 iterations of the log function. This is motivated by a question of Erdős and Taylor. We also obtain the analogous result for the Wiener sausage, refining a result of Meyre and Werner. | |
| dc.description | 18 pages to appear, Trans. Amer. Math. Soc | |
| dc.identifier | https://arxiv.org/abs/math/0409239 | |
| dc.identifier | http://arxiv.org/abs/math/0409239 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72471 | |
| dc.subject | Probability | |
| dc.subject | 60F15 | |
| dc.title | An LIL for cover times of disks by planar random walk and Wiener sausage | |
| dc.type | text |