3 problems

Let $G$ be an infinite, connected, transitive, simple graph of vertex degree $d$ that is not one-dimensional, and let $p_c(G)$ be its Bernoulli bond percolation critical probabilit…

Let $\mathcal U_d^*$ be the class of infinite unimodular transitive graphs of degree $d$ that are not one-dimensional. For a graph $G$ with origin $o$, let $B_n$ be the radius-$n$…

Schramm's locality conjecture. Then