Talk page

Title:
The KPZ Universality Class and Equation

Speaker:
Ivan Corwin

Abstract:
ANALYSIS/MATHEMATICAL PHYSICS SEMINAR The Gaussian central limit theorem says that for a wide class of stochastic systems, the bell curve (Gaussian distribution) describes the statistics for random fluctuations of important observables. In this talk I will look beyond this class of systems to a collection of probabilistic models which include random growth models, polymers, particle systems, matrices and stochastic PDEs, as well as certain asymptotic problems in combinatorics and representation theory. I will explain in what ways these different examples all fall into a single new universality class with a much richer mathematical structure than that of the Gaussian.

Link:
https://www.ias.edu/video/mathphys/2011/corwin