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

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

2003-08-31

arxiv.org/abs/math/0309009v1

Mathematics

Probability

Scientific paper

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.

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