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The growth exponent for planar loop-erased random walk

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1.	Title	Title of document	The growth exponent for planar loop-erased random walk
2.	Creator	Author's name, affiliation, country	Robert Masson; University of British Columbia
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	Random walk; loop-erased random walk; Schramm-Loewner evolution
3.	Subject	Subject classification	Primary 60G50; Secondary:60J65
4.	Description	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.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)
7.	Date	(YYYY-MM-DD)	2009-05-17
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF
10.	Identifier	Uniform Resource Identifier	http://ejp.ejpecp.org/article/view/651
10.	Identifier	Digital Object Identifier	10.1214/EJP.v14-651
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 14
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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