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

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

2010-12-02

arxiv.org/abs/1012.0393v2

Mathematics

Probability

Scientific paper

10.1007/s11005-011-0465-1

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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