We prove that the integrated density of states (IDS) associated to a random Schrödinger operator is locally uniformly Hölder continuous as a function of the disorder parameter λ. In particular, we obtain convergence of the IDS, as λ → 0, to the IDS for the unperturbed operator at all energies for which the IDS for the unperturbed operator is continuous in energy.
|Number of pages
|Illinois Journal of Mathematics
|Published - 2005
ASJC Scopus subject areas
- Mathematics (all)