2 problems

Consider an anisotropic bond percolation process on ${\mathbb {Z}}^d\times{\mathbb {Z}}^s$, with $d,s\geq1$, parameters $(p,q)$, and $p_c(d)-p>0$ sufficiently small. Let…

Consider a bond percolation model on $\mathbb{Z}^d\times\mathbb{Z}^{s}$ with parameters $(p,q)$, where $p<p_c(d)$. Let $q_c(p)$ be the critical value of $q$, and let $\chi_d(p)$ de…