ダウンロード数: 102
このアイテムのファイル:
ファイル | 記述 | サイズ | フォーマット | |
---|---|---|---|---|
iis.2018.A.03.pdf | 188.52 kB | Adobe PDF | 見る/開く |
完全メタデータレコード
DCフィールド | 値 | 言語 |
---|---|---|
dc.contributor.author | Biskup, Marek | en |
dc.contributor.author | Fukushima, Ryoki | en |
dc.contributor.author | Koenig, Wolfgang | en |
dc.contributor.alternative | 福島, 竜輝 | ja |
dc.date.accessioned | 2019-06-28T05:06:12Z | - |
dc.date.available | 2019-06-28T05:06:12Z | - |
dc.date.issued | 2018 | - |
dc.identifier.issn | 1340-9050 | - |
dc.identifier.issn | 1347-6157 | - |
dc.identifier.uri | http://hdl.handle.net/2433/242286 | - |
dc.description.abstract | We consider random Schrödinger operators with Dirichlet boundary conditions outside lattice approximations of a smooth Euclidean domain and study the behavior of its lowest-lying eigenvalues in the limit when the lattice spacing tends to zero. Under a suitable moment assumption on the random potential and regularity of the spatial dependence of its mean, we prove that the eigenvalues of the random operator converge to those of a deterministic Schrödinger operator. Assuming also regularity of the variance, the fluctuation of the random eigenvalues around their mean are shown to obey a multivariate central limit theorem. This extends the authors' recent work where similar conclusions have been obtained for bounded random potentials. | en |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Interdisciplinary Information Sciences | en |
dc.rights | © 2018 by the Graduate School of Information Sciences (GSIS), Tohoku University | en |
dc.rights | 許諾条件に基づいて掲載しています。 | ja |
dc.subject | random Schrödinger operator | en |
dc.subject | Anderson Hamiltonian | en |
dc.subject | eigenvalue | en |
dc.subject | homogenization | en |
dc.subject | elliptic regularity theory, Moser iteration | en |
dc.subject | central limit theorem | en |
dc.title | Eigenvalue fluctuations for lattice Anderson Hamiltonians: Unbounded potentials | en |
dc.type | journal article | - |
dc.type.niitype | Journal Article | - |
dc.identifier.jtitle | Interdisciplinary Information Sciences | - |
dc.identifier.volume | 24 | - |
dc.identifier.issue | 1 | - |
dc.identifier.spage | 59 | - |
dc.identifier.epage | 76 | - |
dc.relation.doi | 10.4036/iis.2018.A.03 | - |
dc.textversion | publisher | - |
dc.address | Department of Mathematics, UCLA・Center for Theoretical Study, Charles University | en |
dc.address | Research Institute in Mathematical Sciences, Kyoto University | en |
dc.address | Weierstraß-Institut für Angewandte Analysis und Stochastik Institut für Mathematik, Technische Universität Berlin | en |
dcterms.accessRights | open access | - |
出現コレクション: | 学術雑誌掲載論文等 |
![](/dspace/image/articlelinker.gif)
このリポジトリに保管されているアイテムはすべて著作権により保護されています。