An optimal Wegner estimate and its application to the global continuity of the integrated density of states for random Schrödinger operators
Author:
Affiliation:
1. Département de Mathématiques, Université du Sud Toulon-Var
2. Department of Mathematics, University of Kentucky
3. Laboratoire Analyse Géométrie et Applications, Institut Galilée, Université Paris-Nord; Institut Universitaire de France
Publisher
Duke University Press
Subject
General Mathematics
Reference36 articles.
1. A. Figotin and A. Klein, Localization of classical waves, I: Acoustic waves, Comm. Math. Phys. 180 (1996), 439--482.
2. L. Pastur and A. Figotin, Spectra of Random and Almost-Periodic Operators, Grundlehren Math. Wiss. 297, Springer, Berlin, 1992.
3. P. Stollmann, Wegner estimates and localization for continuum Anderson models with some singular distributions, Arch. Math. (Basel) 75 (2000), 307--311.
4. M. Aizenman, A. Elgart, S. Naboko, J. H. Schenker, and G. Stolz, Moment analysis for localization in random Schrödinger operators, Invent. Math. 163 (2006), 343--413.
5. J.-M. Barbaroux, J. M. Combes, and P. D. Hislop, Localization near band edges for random Schrödinger operators, Helv. Phys. Acta 70 (1997), 16--43.
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