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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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Bibliografski detalji
Izdano u:Probab Theory Relat Fields
Glavni autori: Cipolloni, Giorgio, Erdős, László, Schröder, Dominik
Format: Artigo
Jezik:Inglês
Izdano: Springer Berlin Heidelberg 2020
Teme:
Online pristup:https://ncbi.nlm.nih.gov/pmc/articles/PMC7906960/
https://ncbi.nlm.nih.gov/pubmed/33707804
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1007/s00440-020-01003-7
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