Localization for quasiperiodic operators with unbounded monotone potentials

Abstract

We establish non-perturbative Anderson localization for a wide class of 1D quasiperiodic operators with unbounded monotone potentials, extending the classical results on Maryland model and perturbative results for analytic potentials by Béllissard, Lima, and Scoppola.

19 pages. The result now covers a larger class of potentials. New Section 8 added (with a proof that the spectrum is the real line)