Brownian Bridge Asymptotics for the Subcritical Bernoulli Bond Percolation

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

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.
18 pages, no figures, LaTeX

Keywords

Probability, 82B43; 82B41; 60K05; 60K35

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/62978

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0112272
 http://arxiv.org/abs/math/0112272

Collections

arXiv