Line-of-sight percolation

Given $\omega\ge 1$, let $Z^2_{(\omega)}$ be the graph with vertex set $Z^2$ in which two vertices are joined if they agree in one coordinate and differ by at most $\omega$ in the other. (Thus $Z^2_{(1)}$ is precisely $Z^2$.) Let $p_c(\omega)$ be the critical probability for site percolation in $Z^2...

Full description

Bibliographic Details
Main Authors: Bollobas, B, Janson, S, Riordan, O
Format: Journal article
Language:English
Published: 2007