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Edge universality for non-Hermitian random matrices

We consider large non-Hermitian real or complex random matrices [Formula: see text] with independent, identically distributed centred entries. We prove that their local eigenvalue statistics near the spectral edge, the unit circle, coincide with those of the Ginibre ensemble, i.e. when the matrix el...

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Detalles Bibliográficos
Autores principales: Cipolloni, Giorgio, Erdős, László, Schröder, Dominik
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7906960/
https://www.ncbi.nlm.nih.gov/pubmed/33707804
http://dx.doi.org/10.1007/s00440-020-01003-7