The KPZ Universality Class and Equation
| ANALYSIS/MATHEMATICAL PHYSICS SEMINAR | |
| Topic: | The KPZ Universality Class and Equation |
| Speaker: | Ivan Corwin |
| 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.