Intermediate deviation regime for the full eigenvalue statistics in the complex Ginibre ensemble.
Phys Rev E
; 100(1-1): 012137, 2019 Jul.
Article
em En
| MEDLINE
| ID: mdl-31499884
ABSTRACT
We study the Ginibre ensemble of N×N complex random matrices and compute exactly, for any finite N, the full distribution as well as all the cumulants of the number N_{r} of eigenvalues within a disk of radius r centered at the origin. In the limit of large N, when the average density of eigenvalues becomes uniform over the unit disk, we show that for 0
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Coleções:
01-internacional
Base de dados:
MEDLINE
Idioma:
En
Revista:
Phys Rev E
Ano de publicação:
2019
Tipo de documento:
Article
País de afiliação:
França