Dimers in 3D - Large Deviations Principle and Statistical Mechanics

Explore a 45-minute lecture on three-dimensional dimer tilings presented by Catherine Wolfram from the Massachusetts Institute of Technology at IPAM's Statistical Mechanics Beyond 2D Workshop. Delve into the large deviations principle for dimers in 3D, comparing it to the established 2D model. Examine the unique challenges and approaches required for three-dimensional analysis, including simulations and intuitive explanations of dimensional differences. Discover how tools like Hall's matching theorem and double dimer swapping operations are utilized in 3D dimer tiling research. Gain insights into this complex topic at the intersection of statistical mechanics and combinatorics, recorded on May 9, 2024, at the Institute for Pure & Applied Mathematics (IPAM) at UCLA.