## Illinois Journal of Mathematics

### Continuity with respect to disorder of the integrated density of states

#### Abstract

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 $\lambda$. In particular, we obtain convergence of the IDS, as $\lambda \rightarrow 0$, to the IDS for the unperturbed operator at all energies for which the IDS for the unperturbed operator is continuous in energy.

#### Article information

Source
Illinois J. Math. Volume 49, Number 3 (2005), 893-904.

Dates
First available in Project Euclid: 13 November 2009