On chemical distances and shape theorems in percolation models with long-range correlations
On chemical distances and shape theorems in percolation models with long-range correlations
In this paper, we provide general conditions on a one parameter family of random infinite subsets of \documentclass[12pt]{minimal}\begin{document}${\mathbb {Z}}^d$\end{document}Zd to contain a unique infinite connected component for which the chemical distances are comparable to the Euclidean distance. In addition, we show that these conditions also imply a shape theorem for …