ar X iv : m at h - ph / 0 40 90 07 v 1 3 S ep 2 00 4 Continuity with respect to Disorder of the Integrated Density of States
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چکیده
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.
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تاریخ انتشار 2005