KPZ and Boltzmann-Gibbs

Abstract: The KPZ equation is a stochastic PDE whose derivative conjecturally provides a universal model for "hydrodynamic fluctuations". This is one version of the weak KPZ universality conjecture, which has drawn significant attention in the past few decades. We will discuss recent work on this conjecture for hydrodynamic limit fluctuations of general interacting particle systems. The key ingredient is a Boltzmann-Gibbs principle for general systems, whose applications beyond KPZ and whose potential refinements will both be discussed as well.

mathematical physicsprobability

Audience: researchers in the topic

Probability and the City Seminar

Series comments: The Probability and the City Seminar is organized jointly by the probability groups of Columbia University and New York University.

Video recordings of talks are posted online at www.youtube.com/channel/UC0CXjG-ZSIZHy0S40Px2FEQ .