Konstantin Khanin (Toronto)
KPZ Universality and Random Hamilton-Jacobi Equation
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.