96-71 Jitomirskaya S., Last Y.
Dimensional Hausdorff Properties of Singular Continuous Spectra (27K, LaTeX) Mar 13, 96
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Abstract. We present an extension of the Gilbert-Pearson theory of subordinacy, which relates dimensional Hausdorff spectral properties of one-dimensional Schr\"odinger operators to the behavior of solutions of the corresponding Schr\"odinger equation. We use this theory to analyze these properties for several examples having singular-continuous spectrum, including sparse barrier potentials, the almost Mathieu operator and the Fibonacci Hamiltonian. (to appear in Phys. Rev. Lett.)

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