Covering one point process with another

Frankie Higgs, Mathew D. Penrose, Xiaochuan Yang

Let $X_1,X_2,\dots$ and $Y_1,Y_2,\dots$ be i.i.d. random uniform points in a bounded domain $A\subset {\mathbb{R}}^2$ with smooth or polygonal boundary. Given $n,m,k \in \math…