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On the spectral Hausdorff dimension of 1D discrete Schrödinger operators under power decaying perturbations (1604.08542v1)
Published 28 Apr 2016 in math-ph and math.MP
Abstract: We show that spectral Hausdorff dimensional properties of discrete Schr\"oodinger operators with (1) Sturmian potentials of bounded density and (2) a class of sparse potentials are preserved under suitable polynomial decaying perturbations, when the spectrum of these perturbed operators have some singular continuous component.
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