{"_id":"6184","doi":"10.1214/19-AOP1379","publication_identifier":{"issn":["0091-1798"]},"issue":"2","month":"03","title":"Correlated random matrices: Band rigidity and edge universality","oa_version":"Preprint","type":"journal_article","citation":{"chicago":"Alt, Johannes, László Erdös, Torben H Krüger, and Dominik J Schröder. “Correlated Random Matrices: Band Rigidity and Edge Universality.” <i>Annals of Probability</i>. Institute of Mathematical Statistics, 2020. <a href=\"https://doi.org/10.1214/19-AOP1379\">https://doi.org/10.1214/19-AOP1379</a>.","mla":"Alt, Johannes, et al. “Correlated Random Matrices: Band Rigidity and Edge Universality.” <i>Annals of Probability</i>, vol. 48, no. 2, Institute of Mathematical Statistics, 2020, pp. 963–1001, doi:<a href=\"https://doi.org/10.1214/19-AOP1379\">10.1214/19-AOP1379</a>.","ieee":"J. Alt, L. Erdös, T. H. Krüger, and D. J. Schröder, “Correlated random matrices: Band rigidity and edge universality,” <i>Annals of Probability</i>, vol. 48, no. 2. Institute of Mathematical Statistics, pp. 963–1001, 2020.","ista":"Alt J, Erdös L, Krüger TH, Schröder DJ. 2020. Correlated random matrices: Band rigidity and edge universality. Annals of Probability. 48(2), 963–1001.","ama":"Alt J, Erdös L, Krüger TH, Schröder DJ. Correlated random matrices: Band rigidity and edge universality. <i>Annals of Probability</i>. 2020;48(2):963-1001. doi:<a href=\"https://doi.org/10.1214/19-AOP1379\">10.1214/19-AOP1379</a>","apa":"Alt, J., Erdös, L., Krüger, T. H., &#38; Schröder, D. J. (2020). Correlated random matrices: Band rigidity and edge universality. <i>Annals of Probability</i>. Institute of Mathematical Statistics. <a href=\"https://doi.org/10.1214/19-AOP1379\">https://doi.org/10.1214/19-AOP1379</a>","short":"J. Alt, L. Erdös, T.H. Krüger, D.J. Schröder, Annals of Probability 48 (2020) 963–1001."},"publisher":"Institute of Mathematical Statistics","oa":1,"scopus_import":"1","publication_status":"published","language":[{"iso":"eng"}],"author":[{"last_name":"Alt","id":"36D3D8B6-F248-11E8-B48F-1D18A9856A87","full_name":"Alt, Johannes","first_name":"Johannes"},{"orcid":"0000-0001-5366-9603","first_name":"László","full_name":"Erdös, László","last_name":"Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87"},{"orcid":"0000-0002-4821-3297","first_name":"Torben H","full_name":"Krüger, Torben H","last_name":"Krüger","id":"3020C786-F248-11E8-B48F-1D18A9856A87"},{"id":"408ED176-F248-11E8-B48F-1D18A9856A87","last_name":"Schröder","full_name":"Schröder, Dominik J","first_name":"Dominik J","orcid":"0000-0002-2904-1856"}],"page":"963-1001","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","department":[{"_id":"LaEr"}],"publication":"Annals of Probability","date_created":"2019-03-28T09:20:08Z","year":"2020","article_processing_charge":"No","date_published":"2020-03-01T00:00:00Z","external_id":{"isi":["000528269100013"],"arxiv":["1804.07744"]},"article_type":"original","project":[{"_id":"258DCDE6-B435-11E9-9278-68D0E5697425","name":"Random matrices, universality and disordered quantum systems","grant_number":"338804","call_identifier":"FP7"}],"volume":48,"isi":1,"main_file_link":[{"url":"https://arxiv.org/abs/1804.07744","open_access":"1"}],"related_material":{"record":[{"relation":"dissertation_contains","id":"149","status":"public"},{"relation":"dissertation_contains","status":"public","id":"6179"}]},"ec_funded":1,"intvolume":"        48","date_updated":"2024-02-22T14:34:33Z","abstract":[{"lang":"eng","text":"We prove edge universality for a general class of correlated real symmetric or complex Hermitian Wigner matrices with arbitrary expectation. Our theorem also applies to internal edges of the self-consistent density of states. In particular, we establish a strong form of band rigidity which excludes mismatches between location and label of eigenvalues close to internal edges in these general models."}],"status":"public","day":"01","quality_controlled":"1"}