Positivity of the time constant in a continuous model of first passage percolation

Jean-Baptiste Gouéré, Marie Théret

We consider a non trivial Boolean model $\Sigma$ on ${\mathbb{R}}^d$ for $d\ge 2$. For every $x,y\in {\mathbb{R}}^d$ we define $T(x,y)$ as the minimum time needed to travel from $x$ to…