Domino tilings with diagonal impurities
Combinatorics
2009-02-02 v1
Abstract
This paper studies the dimer model on the dual graph of the square-octagon lattice, which can be viewed as the domino tilings with impurities in some sense. In particular, under a certain boundary condition, we give an exact formula representing the probability of finding an impurity at a given site in a uniformly random dimer configuration in terms of simple random walks on the square lattice.
Keywords
Cite
@article{arxiv.0901.4824,
title = {Domino tilings with diagonal impurities},
author = {Fumihiko Nakano and Taizo Sadahiro},
journal= {arXiv preprint arXiv:0901.4824},
year = {2009}
}
Comments
12pages,12figures