4 papers
Dimer models on astroidal zig-zag graphs
Tomas Berggren, Alexei Borodin, Terrence George
On a finite weighted graph, the dimer model is a probability measure on its dimer covers, that assigns to any cover a probability proportional to the product of the weights of its…
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…
Multiple cluster algebra structures for TCD maps I: theoretical framework
Niklas Affolter, Terrence George, Max Glick +1
We introduce triple crossing diagram (TCD) maps, which encode projective configurations of points and lines, as a unified framework for constructions arising in various areas of ge…
Integrable dynamics in projective geometry via dimers and triple crossing diagram maps on the cylinder
Niklas Christoph Affolter, Terrence George, Sanjay Ramassamy
We introduce twisted triple crossing diagram maps, collections of points in projective space associated to bipartite graphs on the cylinder, and use them to provide geometric reali…