%0 Journal Article
%T Some sufficient conditions for infinite collisions of simple random walks on a wedge comb
%A Xinxing Chen
%A Dayue Chen
%J Mathematics
%D 2010
%I arXiv
%X In this paper, we give some sufficient conditions for the infinite collisions of independent simple random walks on a wedge comb with profile $\{f(n), n\in \ZZ\}$. One interesting result is that if $f(n)$ has a growth order as $n\log n$, then two independent simple random walks on the wedge comb will collide infinitely many times. Another is that if $\{f(n); n\in \ZZ\}$ are given by i.i.d. non-negative random variables with finite mean, then for almost all wedge comb with such profile, three independent simple random walks on it will collide infinitely many times.
%U http://arxiv.org/abs/1010.5366v1