Subcritical Percolation with a Line of Defects

Details Subcritical Percolation with a Line of Defects Subcritical Percolation with a Line of Defects

2011-03-02

arxiv.org/abs/1103.0411v2

Mathematics

Probability

Minor changes; some additional comments to help the reader. Version accepted for publication in the Annals of Probability

Scientific paper

We consider an inhomogeneous Bernoulli bond percolation process on the d-dimensional integer lattice (d>1). All edge occupation probabilities are given by p except for edges lying on the first coordinate axis which are occupied with probability p'. For any fixed p

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