Localization and Cantor spectrum for quasiperiodic discrete Schrödinger operators with asymmetric, smooth, cosine-like sampling functions

Yakir Forman, Tom VandenBoom

We prove Cantor spectrum and almost-sure Anderson localization for quasiperiodic discrete Schrödinger operators $H=\epsilon \Delta +V$ with potential $V$ sampled with Diophantine fr…