Simplicity of eigenvalues in Anderson-type models

Naboko, Sergey, Nichols, Roger, Stolz, Gunter (2013) Simplicity of eigenvalues in Anderson-type models. Arkiv för Matematik, 51 (1). pp. 157-183. ISSN 1871-2487. (doi:10.1007/s11512-011-0155-3) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)

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Official URL
http://dx.doi.org/10.1007/s11512-011-0155-3

Abstract

We show almost sure simplicity of eigenvalues for several models of Anderson-type random Schrödinger operators, extending methods introduced by Simon for the discrete Anderson model. These methods work throughout the spectrum and are not restricted to the localization regime. We establish general criteria for the simplicity of eigenvalues which can be interpreted as separately excluding the absence of local and global symmetries, respectively. The criteria are applied to Anderson models with matrix-valued potential as well as with single-site potentials supported on a finite box.

Item Type: Article
DOI/Identification number: 10.1007/s11512-011-0155-3
Additional information: number of additional authors: 2;
Subjects: Q Science > QA Mathematics (inc Computing science) > QA276 Mathematical statistics
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science
Depositing User: Stewart Brownrigg
Date Deposited: 07 Mar 2014 00:05 UTC
Last Modified: 29 May 2019 12:25 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/40461 (The current URI for this page, for reference purposes)
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