@article{EJP907,
author = {Xinxing Chen and Dayue Chen},
title = {Some Sufficient Conditions for Infinite Collisions of Simple Random Walks on a Wedge Comb},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {16},
year = {2011},
keywords = {wedge comb, simple random walk, infinite collision property, local time},
abstract = {In this paper, we give some sufficient conditions for the infinite collisions of independent simple random walks on a wedge comb with profile $\{f(n):n\in\mathbb{Z}\}$. One interesting result is that two independent simple random walks on the wedge comb will collide infinitely many times if $f(n)$ has a growth order as $n\log(n)$. On the other hand, if $\{f(n):n\in\mathbb{Z}\}$ are given by i.i.d. non-negative random variables with finite mean, then for almost all wedge combs with such profile, three independent simple random walks on it will collide infinitely many times},
pages = {no. 49, 1341-1355},
issn = {1083-6489},
doi = {10.1214/EJP.v16-907},
url = {http://ejp.ejpecp.org/article/view/907}}