Loop-erased random walk on a torus in dimensions 4 and above

Abstract

Sharp estimates for the length of loop erased random walk between two vertices on the [n]^d -torus, d > 4, are established. The mean length is order n^{d/2} . In dimension 4 we have only an upper bound.

References in corpus (1)

• Scaling limit of loop erased random walk - a naive approach

Cited by in corpus (1)

• Excited random walk in three dimensions has positive speed