[{"publication_identifier":{"eissn":["1432-2064"],"issn":["0178-8051"]},"article_number":"050603","publisher":"Springer Nature","month":"01","quality_controlled":"1","status":"public","OA_place":"publisher","type":"journal_article","day":"01","author":[{"id":"42198EFA-F248-11E8-B48F-1D18A9856A87","last_name":"Cipolloni","full_name":"Cipolloni, Giorgio","orcid":"0000-0002-4901-7992","first_name":"Giorgio"},{"first_name":"László","last_name":"Erdös","full_name":"Erdös, László","orcid":"0000-0001-5366-9603","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Hong Chang","last_name":"Ji","full_name":"Ji, Hong Chang"}],"oa":1,"language":[{"iso":"eng"}],"_id":"19737","corr_author":"1","article_type":"original","article_processing_charge":"Yes (via OA deal)","OA_type":"hybrid","isi":1,"scopus_import":"1","oa_version":"Published Version","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). Supported by ERC Advanced Grant “RMTBeyond” No. 101020331.","title":"Non–Hermitian spectral universality at critical points","citation":{"ama":"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>","short":"G. Cipolloni, L. Erdös, H.C. Ji, Probability Theory and Related Fields (2025).","ieee":"G. Cipolloni, L. Erdös, and H. C. Ji, “Non–Hermitian spectral universality at critical points,” <i>Probability Theory and Related Fields</i>. Springer Nature, 2025.","apa":"Cipolloni, G., Erdös, L., &#38; Ji, H. C. (2025). Non–Hermitian spectral universality at critical points. <i>Probability Theory and Related Fields</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00440-025-01384-7\">https://doi.org/10.1007/s00440-025-01384-7</a>","ista":"Cipolloni G, Erdös L, Ji HC. 2025. Non–Hermitian spectral universality at critical points. Probability Theory and Related Fields., 050603.","mla":"Cipolloni, Giorgio, et al. “Non–Hermitian Spectral Universality at Critical Points.” <i>Probability Theory and Related Fields</i>, 050603, Springer Nature, 2025, doi:<a href=\"https://doi.org/10.1007/s00440-025-01384-7\">10.1007/s00440-025-01384-7</a>.","chicago":"Cipolloni, Giorgio, László Erdös, and Hong Chang Ji. “Non–Hermitian Spectral Universality at Critical Points.” <i>Probability Theory and Related Fields</i>. Springer Nature, 2025. <a href=\"https://doi.org/10.1007/s00440-025-01384-7\">https://doi.org/10.1007/s00440-025-01384-7</a>."},"main_file_link":[{"open_access":"1","url":"https://doi.org/10.1007/s00440-025-01384-7"}],"date_created":"2025-05-25T22:16:59Z","year":"2025","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_updated":"2026-06-18T18:17:57Z","project":[{"grant_number":"101020331","_id":"62796744-2b32-11ec-9570-940b20777f1d","call_identifier":"H2020","name":"Random matrices beyond Wigner-Dyson-Mehta"}],"ddc":["500"],"date_published":"2025-01-01T00:00:00Z","doi":"10.1007/s00440-025-01384-7","ec_funded":1,"abstract":[{"lang":"eng","text":"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."}],"external_id":{"isi":["001493091900001"]},"department":[{"_id":"LaEr"}],"publication_status":"epub_ahead","publication":"Probability Theory and Related Fields"}]