Maximal stream and minimal cutset for first passage percolation through a domain of ${\mathbb{R}}^d$

Raphaël Cerf, Marie Théret

We consider the standard first passage percolation model in the rescaled graph ${\mathbb{Z}}^d/n$ for $d\ge 2$ and a domain $\Omega$ of boundary $\Gamma$ in ${\mathbb{R}}^d$. Let ${\Gamma }^1$ and ${\Gamma }^2$…