Clay Mathematics Institute

Dedicated to increasing and disseminating mathematical knowledge

The Kardar-Parisi-Zhang equation and its universality class

Jeremy Quastel (University of Toronto)

Abstract:  The KPZ equation is a canonical continuum equation for random interface growth, as well as a member of a broad class of models characterized by unusual scale and distribution of fluctuations.  We will survey progress which has been achieved on the equation in the last few years, as well as models in the universality class.