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.
Copyright. All Rights Reserved.