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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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Bibliographic Details
Published in:Probab Theory Relat Fields
Main Authors: Cipolloni, Giorgio, Erdős, László, Schröder, Dominik
Format: Artigo
Language:Inglês
Published: Springer Berlin Heidelberg 2020
Subjects:
Online Access: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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