93-231 Jitomirskaya S.

Anderson Localization for the Almost Mathieu Equation, II: Point Spectrum for $\lambda >2.$ (21K, LaTeX) Sep 9, 93

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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.

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