A percolation formula

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Let $A$ be an arc on the boundary of the unit disk $U$. We prove an asymptotic formula for the probability that there is a percolation cluster $K$ for critical site percolation on the triangular grid in $U$ which intersects $A$ and such that 0 is surrounded by $K\cup A$.
7 pages; minor changes from previous version

Keywords

Probability, Mathematical Physics, 60K35; 82B43

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/95648

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0107096
 http://arxiv.org/abs/math/0107096
 Electron. Comm. Probab. vol. 6, paper no. 12, 115--120, 2001; http://www.math.washington.edu/~ejpecp/EcpVol6/paper12.abs.html

Collections

arXiv