The growth exponent for planar loop-erased random walk

Robert Masson

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arXiv · 0806.0357

The growth exponent for planar loop-erased random walk

Robert Masson

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Abstract

We give a new proof of a result of Kenyon that the growth exponent for loop-erased random walks in two dimensions is 5/4. The proof uses the convergence of LERW to Schramm-Loewner evolution with parameter 2, and is valid for irreducible bounded symmetric random walks on any two-dimensional discrete lattice.

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Robert Masson. 2009-10-27. The growth exponent for planar loop-erased random walk. https://arxiv.org/abs/0806.0357

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