Gaussian bounds and collisions of variable speed random walks on lattices with power law conductances

被引：4
|
作者：
Chen, Xinxing [1 ]
机构：
[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China
来源：
STOCHASTIC PROCESSES AND THEIR APPLICATIONS | 2016年 / 126卷 / 10期
关键词：
Random walks; Heat kernel; Gaussian bound; Collisions; Intrinsic metric; PARABOLIC HARNACK INEQUALITY; MARKOV-CHAINS; UNBOUNDED CONDUCTANCES; DIRICHLET FORMS; HEAT KERNELS; GRAPHS; MODEL; PRINCIPLE; THEOREM;
D O I：
10.1016/j.spa.2016.03.011
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 consider a weighted lattice Z(d) with conductance mu(e) =vertical bar e vertical bar(-alpha). We show that the heat kernel of a variable speed random walk on it satisfies a two-sided Gaussian bound by using an intrinsic metric. We also show that when d = 2 and alpha is an element of (-1, 0), two independent random walks on such weighted lattice will collide infinitely many times while they are transient. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码：3041 / 3064
页数：24
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