Wegner estimate for sparse and other generalized alloy type potentials
type: Item
instance of: scholarly article
title: Wegner estimate for sparse and other generalized alloy type potentials
zbMATH Open document ID: 1003.60064
DOI: 10.1007/BF02829646
author: Werner Kirsch
author: Ivan Veselić
published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences
publication date: 2003-01-09T00:00:00Z
review text: Among other things, a Wegner estimate at low energies for distributions which may have a point mass away from the relevant extremal value of their support is proved. Models with nonstationary random variables as well as various deviations from the alloy-type model are treated. The application of the results to the usual alloy-type model imply the Hölder continuity of the integrated density of states at the infimum of the spectrum of the considered operator. To illustrate the results, several examples are presented.
Mathematics Subject Classification ID: 60H25
Mathematics Subject Classification ID: 47H40
zbMATH DE Number: 1751264
zbMATH Keywords: Wegner estimate
zbMATH Keywords: density of states
zbMATH Keywords: random Schrödinger operators
zbMATH Keywords: nonstationary potentials
zbMATH Keywords: singular distribution of coupling constants
Wikidata QID: Q59312032
reviewed by: Ilie Valuşescu
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02829646
OpenAlex ID: W2141340527
description: scientific article; zbMATH DE number 1751264