Non–Hermitian spectral universality at critical points Cipolloni, Giorgio ; https://orcid.org/0000-0002-4901-7992 Erdös, László ; https://orcid.org/0000-0001-5366-9603 Ji, Hong Chang ddc:500 For general large non–Hermitian random matrices X and deterministic normal deformations A, we prove that the local eigenvalue statistics of A + X close to the critical edge points of its spectrum are universal. This concludes the proof of the third and last remaining typical universality class for non–Hermitian random matrices (for normal deformations), after bulk and sharp edge universalities have been established in recent years. Springer Nature 2025 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/19737 Cipolloni G, Erdös L, Ji HC. Non–Hermitian spectral universality at critical points. <i>Probability Theory and Related Fields</i>. 2025. doi:<a href="https://doi.org/10.1007/s00440-025-01384-7">10.1007/s00440-025-01384-7</a> eng info:eu-repo/semantics/altIdentifier/doi/10.1007/s00440-025-01384-7 info:eu-repo/semantics/altIdentifier/issn/0178-8051 info:eu-repo/semantics/altIdentifier/e-issn/1432-2064 info:eu-repo/semantics/altIdentifier/wos/001493091900001 info:eu-repo/semantics/openAccess