Beyond the Gaussian Universality Class

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.

Speaker Details

Ivan Corwin just finished his PhD at the Courant Institute, NYU and started his position as the first Schramm Fellow at MSRNE.

Date:
Speakers:
Ivan Corwin
Affiliation:
Microsoft Research
    • Portrait of Ivan Corwin

      Ivan Corwin

    • Portrait of Jeff Running

      Jeff Running