Jitomirskaya S.
Anderson Localization for the Almost Mathieu Equation, II:
Point Spectrum for $\lambda >2.$
(21K, LaTeX)
ABSTRACT. We prove that for any coupling >2 and a.e. phase and rotation angle
the point spectrum of the almost Mathieu operator contains the essential
closure of the spectrum. Corresponding eigenfunctions decay exponentially.
The singular continuous component, if it exists, is concentrated on a zero
measure set which is nowhere dense in the essential closure of the spectrum.