Anderson localized states for the quasi-periodic nonlinear wave equation on ${\mathbb{Z}}^d$

Abstract

We establish large sets of Anderson localized states for the quasi-periodic nonlinear wave equation on ${\mathbb{Z}}^d$, thus extending nonlinear Anderson localization from the random \cite{BW08} to a deterministic setting.

A revised version; to appear in JMPA; 40 pages