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Mathematics  2010 

Lipschitz-continuity of the integrated density of states for Gaussian random potentials

DOI: 10.1007/s11005-011-0465-1

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Abstract:

The integrated density of states of a Schroedinger operator with random potential given by a homogeneous Gaussian field whose covariance function is continuous, compactly supported and has positive mean, is locally uniformly Lipschitz-continuous. This is proven using a Wegner estimate.

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