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Dimers on Rail Yard Graphs

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The dimer model is a model of statistical mechanics corresponding to perfect matchings on graphs. I will first give a survey of classical results about the dimer model on planar bipartite graphs.

Then I will introduce the class of rail yard graphs which generalizes several known models, such as the Aztec diamond or plane partitions. I will explain how to compute the partition function and the correlations for rail yard graphs using a transfer matrix approach.

This is joint work with Cédric Boutillier, Jérémie Bouttier, Guillaume Chapuy and Sylvie Corteel.

This talk is part of the Probability series.

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