|ANALYSIS/MATHEMATICAL PHYSICS SEMINAR|
|Topic:||The KPZ Universality Class and Equation|
|Affiliation:||Courant Institute of Mathematics, New York University|
|Date:||Friday, February 11|
|Time/Room:||2:00pm - 3:00pm/S-101|
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.