A local limit theorem for triple connections in subcritical Bernoulli percolation

Massimo Campanino, Michele Gianfelice

Published 2011-03-10Version 1

We prove a local limit theorem for the probability of a site to be connected by disjoint paths to three points in subcritical Bernoulli percolation on $\mathbb{Z}^{d},\,d\geq2$ in the limit where their distances tend to infinity.