[{"author":[{"first_name":"Jaehun","full_name":"Lee, Jaehun","id":"96155047-f36a-11ef-b766-8b5ae7cecd49","last_name":"Lee"},{"orcid":"0000-0001-5366-9603","last_name":"Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","first_name":"László","full_name":"Erdös, László"}],"date_created":"2026-07-18T08:59:02Z","corr_author":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","fulldoi":"https://doi.org/10.48550/arXiv.2607.05848","month":"07","oa_version":"Preprint","keyword":["Central limit theorem","universality","matrix Dyson equation","multi-resolvent local law"],"article_processing_charge":"No","publication_status":"submitted","language":[{"iso":"eng"}],"department":[{"_id":"LaEr"}],"day":"07","project":[{"call_identifier":"H2020","grant_number":"101020331","name":"Random matrices beyond Wigner-Dyson-Mehta","_id":"62796744-2b32-11ec-9570-940b20777f1d"}],"acknowledgement":"Supported by ERC Advanced Grant “RMTBeyond” No. 101020331","year":"2026","arxiv":1,"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2607.05848"}],"citation":{"chicago":"Lee, Jaehun, and László Erdös. “Mesoscopic Eigenvalue Statistics for Correlated Random Matrices,” n.d. <a href=\"https://doi.org/10.48550/arXiv.2607.05848\">https://doi.org/10.48550/arXiv.2607.05848</a>.","ama":"Lee J, Erdös L. Mesoscopic eigenvalue statistics for correlated random matrices. doi:<a href=\"https://doi.org/10.48550/arXiv.2607.05848\">10.48550/arXiv.2607.05848</a>","mla":"Lee, Jaehun, and László Erdös. <i>Mesoscopic Eigenvalue Statistics for Correlated Random Matrices</i>. 2607.05848, doi:<a href=\"https://doi.org/10.48550/arXiv.2607.05848\">10.48550/arXiv.2607.05848</a>.","apa":"Lee, J., &#38; Erdös, L. (n.d.). Mesoscopic eigenvalue statistics for correlated random matrices. <a href=\"https://doi.org/10.48550/arXiv.2607.05848\">https://doi.org/10.48550/arXiv.2607.05848</a>","ista":"Lee J, Erdös L. Mesoscopic eigenvalue statistics for correlated random matrices. 2607.05848.","ieee":"J. Lee and L. Erdös, “Mesoscopic eigenvalue statistics for correlated random matrices.” .","short":"J. Lee, L. Erdös, (n.d.)."},"das_tickbox":"1","ec_funded":1,"article_number":"2607.05848","date_updated":"2026-07-20T10:55:10Z","type":"preprint","status":"public","date_published":"2026-07-07T00:00:00Z","doi":"10.48550/arXiv.2607.05848","_id":"22359","external_id":{"arxiv":["2607.05848"]},"abstract":[{"text":"We prove a mesoscopic central limit theorem for linear eigenvalue statistics of correlated Hermitian random matrices. The class considered here includes Wigner and Wigner-type matrices, as well as models whose entry correlations decay polynomially in the distance between index pairs. The proof combines a multivariate cumulant expansion with multi-resolvent local laws and a detailed analysis of the resulting variance kernel on the operator-level.","lang":"eng"}],"oa":1,"title":"Mesoscopic eigenvalue statistics for correlated random matrices","OA_place":"repository","OA_type":"green"}]