The $K$-th nearest neighbor random walk on a Poisson point process gets trapped

Anne-Laure Basdevant, David Coupier, Jean-Baptiste Gouéré +1

The $K$-th nearest neighbor random walk $(X_n{)}_{n\ge 0}$ on a homogeneous Poisson point process $\ddot{I}‡$ on ${\mathbb{R}}^d$ ($d\ge 1$), starts at the origin and at each step picks its next P…