Domino tilings with diagonal impurities

Details Domino tilings with diagonal impurities Domino tilings with diagonal impurities

2009-01-30

arxiv.org/abs/0901.4824v1

Mathematics

Combinatorics

12pages,12figures

Scientific paper

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.

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