Random walks on the two-dimensional K-comb lattice

Abstract

We study the path behavior of the symmetric walk on some special comb-type subsets of ${\mathbb{Z}}^2$ which are obtained from ${\mathbb{Z}}^2$ by generalizing the comb having finitely many horizontal lines instead of one.

11 pages. arXiv admin note: substantial text overlap with arXiv:1810.11810