Szczegóły publikacji
Opis bibliograficzny
Eigenvector statistics of the product of Ginibre matrices / Zdzisław BURDA, Bartłomiej J. SPISAK, Pierpaolo Vivo // Physical Review. E ; ISSN 2470-0045. — Tytuł poprz.: Physical Review E, Statistical, nonlinear, and soft matter physics ; ISSN: 1539-3755. — 2017 — vol. 95 iss. 2 art. no. 022134, s. 022134-1–022134-16. — Bibliogr. s. 022134-14–022134-16. — Publikacja dostępna online od: 2017-02-24
Autorzy (3)
- AGHBurda Zdzisław
- AGHSpisak Bartłomiej
- Vivo Pierpaolo
Dane bibliometryczne
| ID BaDAP | 105170 |
|---|---|
| Data dodania do BaDAP | 2017-05-24 |
| Tekst źródłowy | URL |
| DOI | 10.1103/PhysRevE.95.022134 |
| Rok publikacji | 2017 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Physical Review, E |
Abstract
We develop a method to calculate left-right eigenvector correlations of the product of m independent N x N complex Ginibre matrices. For illustration, we present explicit analytical results for the vector overlap for a couple of examples for small m and N. We conjecture that the integrated overlap between left and right eigenvectors is given by the formula O = 1 + ( m/2)( N - 1) and support this conjecture by analytical and numerical calculations. We derive an analytical expression for the limiting correlation density as N -> 8 for the product of Ginibre matrices as well as for the product of elliptic matrices. In the latter case, we find that the correlation function is independent of the eccentricities of the elliptic laws.
