Clay Mathematics Institute

Dedicated to increasing and disseminating mathematical knowledge

Universal asymptotic for certain particle systems

Amir Dembo (Stanford University)

I will describe recent results about the asymptotic fluctuations in weakly asymmetric exclusion process and for competing Brownian particles. The former follows the KPZ equation and the latter leads to a Stefan problem and the additive stochastic heat equation.  This talk is based on joint works with Li-Cheng Tsai, Manuel Cabezas, Andrey Sarantsev and Vladas Sidoravicius.