论文信息 - Continuity with respect to disorder of the integrated density of states

Continuity with respect to disorder of the integrated density of states

We prove that the integrated density of states (IDS) associated to a random Schrodinger operator is locally uniformly Holder 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.

J. Schenker | P. Hislop | F. Klopp

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