Edge universality for non-Hermitian random matrices Cipolloni, Giorgio ; https://orcid.org/0000-0002-4901-7992 Erdös, László ; https://orcid.org/0000-0001-5366-9603 Schröder, Dominik J ; https://orcid.org/0000-0002-2904-1856 ddc:510 We consider large non-Hermitian real or complex random matrices X 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 elements of X are Gaussian. This result is the non-Hermitian counterpart of the universality of the Tracy–Widom distribution at the spectral edges of the Wigner ensemble. Springer Nature 2021 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/8601 https://research-explorer.ista.ac.at/download/8601/8612 Cipolloni G, Erdös L, Schröder DJ. Edge universality for non-Hermitian random matrices. <i>Probability Theory and Related Fields</i>. 2021. doi:<a href="https://doi.org/10.1007/s00440-020-01003-7">10.1007/s00440-020-01003-7</a> eng info:eu-repo/semantics/altIdentifier/doi/10.1007/s00440-020-01003-7 info:eu-repo/semantics/altIdentifier/issn/0178-8051 info:eu-repo/semantics/altIdentifier/e-issn/1432-2064 info:eu-repo/semantics/altIdentifier/wos/000572724600002 info:eu-repo/semantics/altIdentifier/arxiv/1908.00969 info:eu-repo/semantics/openAccess