The multinomial dimer model

Richard Kenyon
Yale University

This is joint work with Catherine Wolfram.
We define and study the multinomial dimer model.
The limit shape theory on a general bipartite graph
relies on finding a bistochastic gauge.
We compute limit shapes for the model in a number of settings,
including a 3D version of the Aztec diamond.

Presentation (PDF File)

Back to Workshop I: Statistical Mechanics and Discrete Geometry