Interacting Polya Urns - Statistical Mechanics Beyond 2D

Explore the fascinating world of interacting Polya urns in this 53-minute lecture presented by Omer Angel from the University of British Columbia at IPAM's Statistical Mechanics Beyond 2D Workshop. Delve into various models of interacting Polya urns associated with vertices or edges of a graph, examining their asymptotic behavior, including unbounded growth of colors and convergence to equilibrium. Gain insights from joint works with Hermon, Holmes, and Yao as Angel discusses this intriguing topic in statistical mechanics. Recorded on May 9, 2024, at the Institute for Pure & Applied Mathematics (IPAM) at UCLA, this talk offers a deep dive into advanced mathematical concepts for those interested in statistical mechanics and graph theory.