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Robert Masson

Full Name: Robert Masson
Number of Works: 16
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Let Gr(n) be the expected number of steps of a planar loop-erased random walk from the origin to the circle of radius n. It was proved by Richard Kenyon that Gr(n) is logarithmically asymptotic to n raised to the 5/4 power. His proof uses domino tilings to compute asymptotics for the number of uniform spanning trees of rectilinear regions of the plane, and is specific to simple random walk on the integer lattice.;In this paper we give a new proof that the growth exponent for loop-erased random walk is 5/4, valid for irreducible bounded symmetric random walks on discrete lattices of the plane.