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 Electronic Journal of Probability > Vol. 14 (2009) > Paper 36 open journal systems 


The growth exponent for planar loop-erased random walk

Robert Masson, University of British Columbia


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.


Full text: PDF

Pages: 1012-1073

Published on: May 17, 2009
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Electronic Journal of Probability. ISSN: 1083-6489