Random walks on supercritical percolation clusters
| dc.creator | Barlow, Martin T. | |
| dc.date | 2003-01-31 | |
| dc.date | 2005-04-06 | |
| dc.date.accessioned | 2026-07-07T04:54:50Z | |
| dc.date.available | 2026-07-07T04:54:50Z | |
| dc.description | We obtain Gaussian upper and lower bounds on the transition density q_t(x,y) of the continuous time simple random walk on a supercritical percolation cluster C_{\infty} in the Euclidean lattice. The bounds, analogous to Aronsen's bounds for uniformly elliptic divergence form diffusions, hold with constants c_i depending only on p (the percolation probability) and d. The irregular nature of the medium means that the bound for q_t(x,\cdot) holds only for t\ge S_x(ω), where the constant S_x(ω) depends on the percolation configuration ω. | |
| dc.description | Published at http://dx.doi.org/10.1214/009117904000000748 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org) | |
| dc.identifier | https://arxiv.org/abs/math/0302004 | |
| dc.identifier | http://arxiv.org/abs/math/0302004 | |
| dc.identifier | Annals of Probability 2004, Vol. 32, No. 4, 3024-3084 | |
| dc.identifier | doi:10.1214/009117904000000748 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66414 | |
| dc.subject | Probability | |
| dc.subject | 60K37 (Primary) 58J35. (Secondary) | |
| dc.title | Random walks on supercritical percolation clusters | |
| dc.type | text |