4 citations · 14 across the 12 of their papers we have counts for
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Move-reduced graphs on a torus
Pavel Galashin, Terrence George
We determine which bipartite graphs embedded in a torus are move-reduced. In addition, we classify equivalence classes of such move-reduced graphs under square/spider moves. This e…
Discrete dynamics in cluster integrable systems from geometric -matrix transformations
Terrence George, Sanjay Ramassamy
Cluster integrable systems are a broad class of integrable systems modelled on bipartite dimer models on the torus. Many discrete integrable dynamics arise by applying sequences of…
The inverse spectral map for dimers
Terrence George, Alexander Goncharov, Richard Kenyon
In 2015, Vladimir Fock proved that the spectral transform, associating to an element of a dimer cluster integrable system its spectral data, is birational by constructing an invers…
Dimers and Beauville integrable systems
Terrence George, Giovanni Inchiostro
Associated to a convex integral polygon in the plane are two integrable systems: the cluster integrable system of Goncharov and Kenyon, constructed from the dimer model on bipa…