Jitomirskaya S., Last Y.
Dimensional Hausdorff Properties of Singular Continuous Spectra
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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.)