2 problems

Fix two distinct source sites in $\mathbb{Z}^d$, and suppose $0\le p\le q\le1$. For $i=1,2$, let $\mathcal{G}^i_{p,q}$ be the event that infection $i$ survives indefinitely: … Let…

Consider the competition process on $\mathbb{Z}^d$ with blue and yellow infections, whose transmission parameters are $p_{\text{b}}$ and $p_{\text{y}}$, respectively. Let $p_c$ be…