The Incipient Infinite Cluster in Two-Dimensional Percolation

@inproceedings{Kesten2004TheII,
title={The Incipient Infinite Cluster in Two-Dimensional Percolation},
author={Harry Kesten and Jennifer T. Chayes and Lincoln P Chayes},
year={2004}
}

Let Pp be the probability measure on the configurations of occupied and vacant vertices of a two-dimensional graph N, under which all vertices are independently occupied (respectively vacant) with probability p (respectively l p ) . Let p~ be the critical probability for this system and W the occupied cluster of some fixed vertex w o. We show that for many… CONTINUE READING