The growth exponent for planar loop-erased random walk

被引：31
作者：
Masson, Robert [1 ]
机构：
[1] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada
来源：
ELECTRONIC JOURNAL OF PROBABILITY | 2009年 / 14卷
关键词：
Random walk; loop-erased random walk; Schramm-Loewner evolution; UNIFORM SPANNING-TREES; CRITICAL PERCOLATION; CONFORMAL-INVARIANCE; SCALING LIMITS; SLE; CONVERGENCE;
D O I：
10.1214/EJP.v14-651
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
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 R(2).
引用
收藏
页码：1012 / 1073
页数：62
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