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The growth exponent for planar loop-erased random walk

   
@article{EJP651,
	author = {Robert Masson},
	title = {The growth exponent for planar loop-erased random walk},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {14},
	year = {2009},
	keywords = {Random walk; loop-erased random walk; Schramm-Loewner evolution},
	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.},
	pages = {no. 36, 1012-1073},
	issn = {1083-6489},
	doi = {10.1214/EJP.v14-651},    
        url = {http://ejp.ejpecp.org/article/view/651}}