Abstract
We consider Schrödinger operators with ergodic potential , , , where is a nonperiodic homeomorphism. We show that for generic , the spectrum has no absolutely continuous component. The proof is based on approximation by discontinuous potentials which can be treated via Kotani theory
Citation
Artur Avila. David Damanik. "Generic Singular Spectrum For Ergodic Schrödinger Operators." Duke Math. J. 130 (2) 393 - 400, 01 November 05. https://doi.org/10.1215/S0012-7094-05-13035-6
Information