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 Z^d, d ge 2, in the limit where their distances tend to infinity.
M. Campanino, M. Gianfelice (2009). A local limit theorem for triple connections in subcritical Bernoulli percolation. PROBABILITY THEORY AND RELATED FIELDS, 143, 353-378 [10.1007/s00440-007-0129-3].
A local limit theorem for triple connections in subcritical Bernoulli percolation
CAMPANINO, MASSIMO;
2009
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 Z^d, d ge 2, in the limit where their distances tend to infinity.File in questo prodotto:
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