Brownian Bridge Asymptotics for the Subcritical Bernoulli Bond Percolation
| dc.creator | Kovchegov, Yevgeniy | |
| dc.date | 2001-12-24 | |
| dc.date | 2002-05-14 | |
| dc.date.accessioned | 2026-07-07T04:45:30Z | |
| dc.date.available | 2026-07-07T04:45:30Z | |
| dc.description | For the d-dimensional model of a subcritical bond percolation (p<p_c) and a point \vec{a} in Z^d, we prove that a cluster conditioned on connecting points (0,...,0) and n\vec{a} if scaled by 1/(n|vec{a}|) along \vec{a} and by 1/sqrt{n} in the orthogonal direction converges asymptotically to Time x (d-1)-dimensional Brownian Bridge. | |
| dc.description | 18 pages, no figures, LaTeX | |
| dc.identifier | https://arxiv.org/abs/math/0112272 | |
| dc.identifier | http://arxiv.org/abs/math/0112272 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62978 | |
| dc.subject | Probability | |
| dc.subject | 82B43; 82B41; 60K05; 60K35 | |
| dc.title | Brownian Bridge Asymptotics for the Subcritical Bernoulli Bond Percolation | |
| dc.type | text |