Dimers on rail yard graphs

Sanjay Ramassamy (Brown)

Abstract :

The dimer model is a statistical mechanics model 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 and for which we can compute the partition function and the correlations.

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