Operators with singular continuous spectrum: III. Almost periodic Schrödinger operators
We prove that one-dimensional Schrödinger operators with even almost periodic potential have no point spectrum for a dense G_δ in the hull. This implies purely singular continuous spectrum for the almost Mathieu equation for coupling larger than 2 and a dense G_δ in θ even if the frequency is an irrational with good Diophantine properties.
© 1994 Springer-Verlag. Received: 19 October 1993. This material is based upon work supported by the National Science Foundation under Grant No. DMS-9101715. The Government has certain rights in this material.