The growth exponent for planar loop-erased random walk

Details The growth exponent for planar loop-erased random walk The growth exponent for planar loop-erased random walk

2008-06-02

arxiv.org/abs/0806.0357v2

Electron. J. Probab., 14:no. 36, 1012-1073, 2009

Mathematics

Probability

62 pages, 7 figures; fixed typos, added references

Scientific paper

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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