- 94-82 Jitomirskaya S., Simon B.
- Operators with Singular Continuous Spectrum,
III. Almost Periodic Schrodinger Operators
Apr 5, 94
(auto. generated ps),
of related papers
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.