2 problems

In the two-type Richardson model on ${\mathbb Z}^d$, let $G_i$ be the event that type $i$ infects sites arbitrarily far from the origin, and let $G=G_1\cap G_2$. After rescaling ti…

Let $G$) be a graph with distinguished vertex $x$, and let $H=G\times\{0,1\}$ have two copies of $G$, with corresponding vertices joined by an edge. Run Richardson's model on $H$ f…