Hamiltonian Paths on Random Bicubic Maps and KPZ

Explore the intricacies of Hamiltonian paths on random bicubic maps and their connection to Kardar-Parisi-Zhang (KPZ) universality in this comprehensive lecture. Delve into the mathematical foundations and statistical physics implications as Emmanuel Guitter presents his research findings from 2023. Gain insights into the properties of random bicubic maps, understand the concept of Hamiltonian paths in this context, and discover how these structures relate to the KPZ universality class. Examine the theoretical framework and analytical techniques used to study these complex systems, and learn about the latest developments in this fascinating intersection of combinatorics, graph theory, and statistical physics.