Percolation for the stable marriage of Poisson and Lebesgue with random appetites

Daniel Andrés Díaz-Pachón

Let $\Xi$ be a set of centers chosen according to a Poisson point process in ${\mathbb{R}}^d$. Consider the allocation of ${\mathbb{R}}^d$ to $\Xi$ which is stable in the sense of the Gale-S…