Stability of Singular Spectral Types under Decaying Perturbations
A. Kiselev, Y. Last, B. Simon
Abstract
We look at invariance of a.e. boundary condition spectral behavior under perturbations, W, of half-line, continuum or discrete Schrödinger operators. We extend the results of del Rio, Simon, Stolz from compactly supported W's to suitable short-range W. We also discuss invariance of the local Hausdorff dimension of spectral measures under such perturbations.
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