Cantor Spectrum for the Almost Mathieu Operator. Corollaries of localization,reducibility and duality

Joaquim Puig

In this paper we use results on reducibility, localization and duality for the Almost Mathieu operator, \[ (H_{b,ϕ} x)_n= x_{n+1} +x_{n-1} + b \cos(2 πn ω+ ϕ)x_n \] on $l^2(\mathbb…