arXiv:math-ph/0409007AbstractReferencesReviewsResources
Continuity with respect to Disorder of the Integrated Density of States
Peter D. Hislop, Frederic Klopp, Jeffrey H. Schenker
Published 2004-09-03Version 1
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.
Comments: 12 pages, LaTeX
Journal: Ill. J. Math. 49 (2005), 893
Keywords: integrated density, continuity, unperturbed operator, random schroedinger operator, disorder parameter lambda
Tags: journal article
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