The weak universality of the KPZ equation was established by Martin Hairer and his collaborators. The related phenomenon of the intermediate disorder was studied by Alberts, Khanin, and Quastel for directed polymers with smale disorder. It was suggested recently that the notion of directed polymers can be extended to the disordered interface growth systems with non-quadratic Hamiltonians. The main aim of the research project is to extend the results on the existence and universality of the intermediate disorder to this class of generalized directed polymers.

Martin Hairer (University of Warwick)
Tobias Hurth (University of Toronto)
Konstantin Khanin (University of Toronto)
Xue-Mei Li  University of Warwick)