Domino tilings with diagonal impurities

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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.
12pages,12figures

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Combinatorics, 05A15

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http://salesiana.dossiersoluciones.com/handle/123456789/218092

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0901.4824
 http://arxiv.org/abs/0901.4824

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arXiv