94-82 Jitomirskaya S., Simon B.

Operators with Singular Continuous Spectrum, III. Almost Periodic Schrodinger Operators (14K, AMSTeX) Apr 5, 94

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Abstract. We prove that one-dimensional Schr\"odinger operators with even almost periodic potential have no point spectrum for a dense $G_\delta$ in the hull. This implies purely singular continuous spectrum for the almost Mathieu equation for coupling larger than $2$ and a dense $G_\delta$ in $\theta$ even if the frequency is an irrational with good Diophantine properties.

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