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On the Integrated Density of States of Fractional Random Schrödinger Operators

Kern, Peter et al.
arXiv (OAI Expanded) · Papers
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mathematical-physicsprobability
We proof the existence of the Integrated Density of States (IDS) for fractional random Schrödinger operators with Gaussian potential based on the theory of isotropic $α$-stable Lévy processes. Further we show that the IDS exhibits Lifshitz tails and determine its asymptotics at the right end of the
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