Konstantin Khanin (Toronto)

KPZ Universality and Random Hamilton-Jacobi Equation

Abstract: Universal properties related to the KPZ equation is an extremely active research area. It is connected to many different areas in mathematics and mathematical physics: probability theory and statistical mechanics, PDEs, random matrices, integrable systems, and others. Despite recent progress, mainly in deriving exact formulas for correlation functions, the problem of universality is still largely open. We shall discuss some recent results in this direction.