A note on inhomogeneous percolation
The independent bond percolation model on \(\mathbb{Z}^ 2\) with inhomogeneous probabilities \(p\{x, y\}\), \(x,y \in \mathbb{Z}^ 2\), of the \(\{x, y\}\)-bond opening is considered. The bonds with vertices in the \(X\) axis are open with probability \(\delta\) and all other bonds are open with probability \(p\). The author shows that no percolation occurs at \(p_ c\) for any \(\delta < 1\).
scientific article; zbMATH DE number 681383