Uniform spectral properties of one-dimensional quasicrystals, I. Absence of eigenvalues

Abstract

We consider discrete one-dimensional Schrödinger operators with Sturmian potentials. For a full-measure set of rotation numbers including the Fibonacci case we prove absence of eigenvalues for all elements in the hull.

10 pages

References in corpus (2)

• Eigenfunctions, transfer matrices, and absolutely continuous spectrum of one-dimensional Schrodinger operators
• Uniform spectral properties of one-dimensional quasicrystals, II. The Lyapunov exponent

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