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 $mathbb{Z}^d , d \geq 2$ in the limit where their distances tend to infinity.
A local limit theorem for triple connections in subcritical Bernoulli percolation
GIANFELICE, Michele
2009-01-01
Abstract
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 $mathbb{Z}^d , d \geq 2$ in the limit where their distances tend to infinity.File in questo prodotto:
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