Continuity Properties of the Integrated Density of States on Manifolds

Abstract

We first analyze the integrated density of states (IDS) of periodic Schrödinger operators on an amenable covering manifold. A criterion for the continuity of the IDS at a prescribed energy is given along with examples of operators with both continuous and discontinuous IDS’. Subsequently, alloy-type perturbations of the periodic operator are considered. The… (More)

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@inproceedings{Lenz2007ContinuityPO, title={Continuity Properties of the Integrated Density of States on Manifolds}, author={Daniel Lenz}, year={2007} }