In this paper we describe some recent developments on the problems of existence of quasi-periodic and almost-periodic solutions and diffusion for nonlinear Schrödinger equations with a random potential on the lattice and in the continuum.
"Nonlinear Schrödinger equation with a random potential." Illinois J. Math. 50 (1-4) 183 - 188, 2006. https://doi.org/10.1215/ijm/1258059474