Domino tilings with diagonal impurities

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dc.creatorNakano, Fumihiko
dc.creatorSadahiro, Taizo
dc.date2009-01-30
dc.date.accessioned2026-07-07T12:36:26Z
dc.date.available2026-07-07T12:36:26Z
dc.descriptionThis 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.
dc.description12pages,12figures
dc.identifierhttps://arxiv.org/abs/0901.4824
dc.identifierhttp://arxiv.org/abs/0901.4824
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218092
dc.subjectCombinatorics
dc.subject05A15
dc.titleDomino tilings with diagonal impurities
dc.typetext

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