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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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Wedi'i Gadw mewn:
Manylion Llyfryddiaeth
Cyhoeddwyd yn:Probab Theory Relat Fields
Prif Awduron: Cipolloni, Giorgio, Erdős, László, Schröder, Dominik
Fformat: Artigo
Iaith:Inglês
Cyhoeddwyd: Springer Berlin Heidelberg 2020
Pynciau:
Mynediad Ar-lein: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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