Dimer Models and Random Tilings - Part 1

Dimer Models and Random Tilings - Part 1

Explore the fascinating world of dimer models and random tilings in this comprehensive lecture from the Geometry, Statistical Mechanics, and Integrability Tutorials at IPAM. Delve into Cédric Boutillier's presentation on probability measures for perfect matchings in graphs, focusing on square and hexagonal lattices that correspond to domino and rhombi tilings. Discover essential tools for studying these models, including Kasteleyn's theory, combinatorial correspondences, and asymptotic methods for large-scale limits. Gain valuable insights into this intriguing area of mathematical research, presented by an expert from Sorbonne Université.