Spread-out percolation in R^d
Let $X$ be either $Z^d$ or the points of a Poisson process in $R^d$ of intensity 1. Given parameters $r$ and $p$, join each pair of points of $X$ within distance $r$ independently with probability $p$. This is the simplest case of a `spread-out' percolation model studied by Penrose, who showed...
Main Authors: | Bollobas, B, Janson, S, Riordan, O |
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Format: | Journal article |
Language: | English |
Published: |
2005
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