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.
@article{arxiv.1012.0393,
title = {Lipschitz-continuity of the integrated density of states for Gaussian random potentials},
author = {Ivan Veselic},
journal= {arXiv preprint arXiv:1012.0393},
year = {2011}
}