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

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arxiv math/0309009 v1 pith:VTGLRPDT submitted 2003-08-31 math.PR math-phmath.MP

Itai Benjamini , Gady Kozma This is my paper · ORCID
classification math.PRmath-phmath.MP
keywords lengthrandomtoruswalkabovebounddimensiondimensions
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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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