Connectedness of the Free Uniform Spanning Forest as a function of edge weights

Marcell Alexy, Márton Borbényi, András Imolay +1

Let $G$ be the Cartesian product of a regular tree $T$ and a finite connected transitive graph $H$. It is shown in arXiv:2006.06387 that the Free Uniform Spanning Forest ($\mathsf{…