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A generalisation of the honeycomb dimer model to higher dimensions

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The dimer model has attracted much attention because it is one of the few integrable models in statistical physics. In this talk I present a natural generalisation of the dimer model on the hexagonal lattice, and I show that the surface tension related to the general model is strictly convex. This result has important physical implications: we deduce from it a large deviations result with a unique minimiser. This explains how the system behaves under scaling.

This talk is part of the Cambridge Analysts' Knowledge Exchange series.

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