dc.contributor.author | Chulaevsky, V | |
dc.contributor.author | Sodin, A | |
dc.date.accessioned | 2020-04-22T09:32:28Z | |
dc.date.available | 2020-04-06 | |
dc.date.available | 2020-04-22T09:32:28Z | |
dc.date.issued | 2020 | |
dc.identifier.uri | https://qmro.qmul.ac.uk/xmlui/handle/123456789/63679 | |
dc.description.abstract | An 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.publisher | Yokohama Publishers | en_US |
dc.relation.ispartof | Pure and Applied Functional Analysis | |
dc.title | Anderson localisation in stationary ensembles of quasiperiodic operators | en_US |
dc.type | Article | en_US |
dc.rights.holder | © 2020 Yokohama Publishers | |
pubs.notes | Not known | en_US |
pubs.publication-status | Accepted | en_US |
dcterms.dateAccepted | 2020-04-06 | |
rioxxterms.funder | Default funder | en_US |
rioxxterms.identifier.project | Default project | en_US |
qmul.funder | Spectral theory of random operators (SPECTRUM)::European Research Council | en_US |
qmul.funder | Spectral theory of random operators (SPECTRUM)::European Research Council | en_US |