Late points for random walks in two dimensions

Amir Dembo, Yuval Peres, Jay Rosen +1

Let ${\mathcal{T}}_n(x)$ denote the time of first visit of a point $x$ on the lattice torus ${\mathbb{Z}}_n^2={\mathbb{Z}}^2/n{\mathbb{Z}}^2$ by the simple random walk. The size of the se…