Continuity with respect to Disorder of the Integrated Density of States
  We prove that the integrated density of states (IDS) associated to a random Schroedinger operator is locally uniformly Hoelder continuous as a function of the disorder parameter lambda. In particular, we obtain convergence of the IDS, as lambda tends to 0, to the IDS for the unperturbed operator at all energies for which the IDS for the unperturbed operator is continuous in energy. 
Peter D. Hislop, Frederic Klopp and Jeffrey H. Schenker