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.
Overview
Syllabus
Emmanuel Guitter (2023) - Hamiltonian paths on random bicubic maps and KPZ
Taught by
IPhT-TV
Related Courses
-
KPZ Universality and Iterates of Random Monotone Maps
-
Understanding the KPZ Problem - A New Perspective on Random Geometry and Universal Statistics
-
Invariant Measures for KPZ Systems with Boundaries
-
Equivalence of Fluctuations Between SHE and KPZ Equation in Weak Disorder Regime
-
Hamiltonian Paths in Antiquity - Stanford Lecture 2016
-
From Combinatorial Maps to Correlation Functions in Loop Models
