Logarithmic Components of the Vacant Set for Random Walk on a Discrete Torus
Logarithmic Components of the Vacant Set for Random Walk on a Discrete Torus
This work continues the investigation, initiated in a recent work by Benjamini and Sznitman, of percolative properties of the set of points not visited by a random walk on the discrete torus $({\mathbb Z}/N{\mathbb Z})^d$ up to time $uN^d$ in high dimension $d$. If $u>0$ is chosen sufficiently small it …