The growth exponent for planar loop-erased random walk

@inproceedings{June2008TheGE,
  title={The growth exponent for planar loop-erased random walk},
  author={Robert Masson June},
  year={2008}
}
  • Robert Masson June
  • Published 2008
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 discrete lattice of R2.