{"acknowledgement":"Supported by the ERC Advanced Grant ”RMTBeyond” No. 101020331","ec_funded":1,"article_processing_charge":"No","title":"Mesoscopic eigenvalue statistics for Wigner-type matrices","citation":{"mla":"Riabov, Volodymyr. “Mesoscopic Eigenvalue Statistics for Wigner-Type Matrices.” <i>ArXiv</i>, 2301.01712, doi:<a href=\"https://doi.org/10.48550/arXiv.2301.01712\">10.48550/arXiv.2301.01712</a>.","ista":"Riabov V. Mesoscopic eigenvalue statistics for Wigner-type matrices. arXiv, 2301.01712.","ieee":"V. Riabov, “Mesoscopic eigenvalue statistics for Wigner-type matrices,” <i>arXiv</i>. .","short":"V. Riabov, ArXiv (n.d.).","ama":"Riabov V. Mesoscopic eigenvalue statistics for Wigner-type matrices. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/arXiv.2301.01712\">10.48550/arXiv.2301.01712</a>","chicago":"Riabov, Volodymyr. “Mesoscopic Eigenvalue Statistics for Wigner-Type Matrices.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/arXiv.2301.01712\">https://doi.org/10.48550/arXiv.2301.01712</a>.","apa":"Riabov, V. (n.d.). Mesoscopic eigenvalue statistics for Wigner-type matrices. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/arXiv.2301.01712\">https://doi.org/10.48550/arXiv.2301.01712</a>"},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_updated":"2024-03-25T12:48:20Z","article_number":"2301.01712","type":"preprint","oa_version":"Preprint","doi":"10.48550/arXiv.2301.01712","department":[{"_id":"GradSch"},{"_id":"LaEr"}],"project":[{"grant_number":"101020331","call_identifier":"H2020","_id":"62796744-2b32-11ec-9570-940b20777f1d","name":"Random matrices beyond Wigner-Dyson-Mehta"}],"status":"public","date_published":"2023-01-04T00:00:00Z","_id":"15128","publication_status":"submitted","date_created":"2024-03-20T09:41:04Z","month":"01","external_id":{"arxiv":["2301.01712"]},"year":"2023","oa":1,"abstract":[{"lang":"eng","text":"We prove a universal mesoscopic central limit theorem for linear eigenvalue statistics of a Wigner-type matrix inside the bulk of the spectrum with compactly supported twice continuously differentiable test functions. The main novel ingredient is an optimal local law for the two-point function $T(z,\\zeta)$ and a general class of related quantities involving two resolvents\r\nat nearby spectral parameters. "}],"language":[{"iso":"eng"}],"publication":"arXiv","day":"04","author":[{"full_name":"Riabov, Volodymyr","id":"1949f904-edfb-11eb-afb5-e2dfddabb93b","first_name":"Volodymyr","last_name":"Riabov"}],"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2301.01712","open_access":"1"}]}