Generic Singular Spectrum For Ergodic Schrödinger Operators
نویسندگان
چکیده
منابع مشابه
Generic Singular Spectrum for Ergodic Schrödinger Operators
We consider Schrödinger operators with ergodic potential Vω(n) = f (T (ω)), n ∈ Z, ω ∈ , where T : → is a nonperiodic homeomorphism. We show that for generic f ∈ C( ), the spectrum has no absolutely continuous component. The proof is based on approximation by discontinuous potentials which can be treated via Kotani theory.
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ژورنال
عنوان ژورنال: Duke Mathematical Journal
سال: 2005
ISSN: 0012-7094
DOI: 10.1215/s0012-7094-05-13035-6