Show simple item record

dc.contributor.authorChulaevsky, V
dc.contributor.authorSodin, A
dc.date.accessioned2020-04-22T09:32:28Z
dc.date.available2020-04-06
dc.date.available2020-04-22T09:32:28Z
dc.date.issued2020
dc.identifier.urihttps://qmro.qmul.ac.uk/xmlui/handle/123456789/63679
dc.description.abstractAn ensemble of quasi-periodic discrete Schro ̈dinger operators with an arbitrary number of basic frequencies is considered, in a lattice of arbitrary dimension, in which the hull function is a realisation of a stationary Gaussian process on the torus. We show that, for almost every element of the ensemble, the quasi-periodic operator boasts Anderson localization with simple pure point spectrum at strong coupling. One of the ingredients of the proof is a new lower bound on the interpolation error for stationary Gaussian processes on the torus (also known as local non-determinism).en_US
dc.publisherYokohama Publishersen_US
dc.relation.ispartofPure and Applied Functional Analysis
dc.titleAnderson localisation in stationary ensembles of quasiperiodic operatorsen_US
dc.typeArticleen_US
dc.rights.holder© 2020 Yokohama Publishers
pubs.notesNot knownen_US
pubs.publication-statusAccepteden_US
dcterms.dateAccepted2020-04-06
rioxxterms.funderDefault funderen_US
rioxxterms.identifier.projectDefault projecten_US
qmul.funderSpectral theory of random operators (SPECTRUM)::European Research Councilen_US
qmul.funderSpectral theory of random operators (SPECTRUM)::European Research Councilen_US


Files in this item

FilesSizeFormatView

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record