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...

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Hlavní autoři: Bollobas, B, Janson, S, Riordan, O
Médium: Journal article
Jazyk:English
Vydáno: 2007