Eigenvalue fluctuations for lattice Anderson Hamiltonians
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 1970 | |
dc.contributor.author | Biskup, Marek | |
dc.contributor.author | Fukushima, Ryoki | |
dc.contributor.author | König, Wolfgang | |
dc.date.accessioned | 2016-03-24T17:37:12Z | |
dc.date.available | 2019-06-28T08:14:57Z | |
dc.date.issued | 2014 | |
dc.description.abstract | We consider the random Schrödinger operator on a large box in the lattice with a large prefactor in front of the Laplacian part of the operator, which is proportional to the square of the diameter of the box. The random potential is assumed to be independent and bounded; its expectation function and variance function is given in terms of continuous bounded functions on the rescaled box. Our main result is a multivariate central limit theorem for all the simple eigenvalues of this operator, after centering and rescaling. The limiting covariances are expressed in terms of the limiting homogenized eigenvalue problem; more precisely, they are equal to the integral of the product of the squares of the eigenfunctions of that problem times the variance function. | eng |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.issn | 2198-5755 | |
dc.identifier.uri | https://doi.org/10.34657/2295 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/2999 | |
dc.language.iso | eng | eng |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
dc.relation.issn | 0946-8633 | eng |
dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
dc.subject.ddc | 510 | eng |
dc.subject.other | Anderson model | eng |
dc.subject.other | spetra of random operators | eng |
dc.subject.other | central limit theorem | eng |
dc.title | Eigenvalue fluctuations for lattice Anderson Hamiltonians | eng |
dc.type | Report | eng |
dc.type | Text | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | WIAS | eng |
wgl.subject | Mathematik | eng |
wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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