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arxiv: math/0110139 · v1 · pith:2BYSM4SW · submitted 2001-10-13 · math.SP · math-ph· math.MP

Stability of Singular Spectral Types under Decaying Perturbations

A. Kiselev , Y. Last , B. Simon This is my paper

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classification math.SP math-phmath.MP
keywords perturbationsspectralunderinvariancebehaviorboundarycompactlycondition
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We look at invariance of a.e. boundary condition spectral behavior under perturbations, $W$, of half-line, continuum or discrete Schr\"odinger 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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