Asymptotics of the eigenvalues of the Anderson Hamiltonian with white noise potential in two dimensions
| dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
| dc.bibliographicCitation.volume | 2606 | |
| dc.contributor.author | Chouk, Khalil | |
| dc.contributor.author | van Zuijlen, Willem | |
| dc.date.accessioned | 2022-06-23T14:30:44Z | |
| dc.date.available | 2022-06-23T14:30:44Z | |
| dc.date.issued | 2019 | |
| dc.description.abstract | In this paper we consider the Anderson Hamiltonian with white noise potential on the box [0,L]² with Dirichlet boundary conditions. We show that all the eigenvalues divided by log L converge as L → ∞ almost surely to the same deterministic constant, which is given by a variational formula. | eng |
| dc.description.version | publishedVersion | eng |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/9190 | |
| dc.identifier.uri | https://doi.org/10.34657/8228 | |
| dc.language.iso | eng | |
| dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | |
| dc.relation.doi | https://doi.org/10.20347/WIAS.PREPRINT.2606 | |
| dc.relation.hasversion | https://doi.org/10.1214/20-AOP1497 | |
| dc.relation.issn | 2198-5855 | |
| 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 | |
| dc.subject.other | Anderson Hamiltonian | eng |
| dc.subject.other | white noise | eng |
| dc.subject.other | paracontrolled distributions | eng |
| dc.subject.other | operators with Dirichlet boundary | eng |
| dc.subject.other | conditions | eng |
| dc.title | Asymptotics of the eigenvalues of the Anderson Hamiltonian with white noise potential in two dimensions | eng |
| dc.type | Report | eng |
| dc.type | Text | eng |
| dcterms.extent | 50 S. | |
| tib.accessRights | openAccess | |
| wgl.contributor | WIAS | |
| wgl.subject | Mathematik | |
| wgl.type | Report / Forschungsbericht / Arbeitspapier |
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