"Dimer models and random tilings" (Part 2)

Tomas Berggren
Massachusetts Institute of Technology
Department of mathematics

Dimer models are natural probability measures on perfect matchings of a graph. When this graph is (a piece of) the square lattice (resp. the hexagonal lattice), perfect matchings correspond to tilings of (a region of) the plane by dominos (resp. by rhombi). In this tutorial, we present several tools to study these models: Kasteleyn's theory, combinatorial correspondences with other models as well as asymptotic methods in large-scale limits.

Back to Geometry, Statistical Mechanics, and Integrability Tutorials