{"month":"01","title":"Mesoscopic eigenvalue statistics for Wigner-type matrices","external_id":{"arxiv":["2301.01712"]},"doi":"10.48550/arXiv.2301.01712","_id":"15128","type":"preprint","citation":{"short":"V. Riabov, ArXiv (n.d.).","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>","ista":"Riabov V. Mesoscopic eigenvalue statistics for Wigner-type matrices. arXiv, 2301.01712.","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>","ieee":"V. Riabov, “Mesoscopic eigenvalue statistics for Wigner-type matrices,” <i>arXiv</i>. .","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>.","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>."},"oa_version":"Preprint","project":[{"_id":"62796744-2b32-11ec-9570-940b20777f1d","name":"Random matrices beyond Wigner-Dyson-Mehta","call_identifier":"H2020","grant_number":"101020331"}],"oa":1,"publication_status":"submitted","author":[{"id":"1949f904-edfb-11eb-afb5-e2dfddabb93b","last_name":"Riabov","first_name":"Volodymyr","full_name":"Riabov, Volodymyr"}],"language":[{"iso":"eng"}],"acknowledgement":"Supported by the ERC Advanced Grant ”RMTBeyond” No. 101020331","ec_funded":1,"department":[{"_id":"GradSch"},{"_id":"LaEr"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2301.01712","open_access":"1"}],"abstract":[{"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. ","lang":"eng"}],"date_created":"2024-03-20T09:41:04Z","status":"public","date_updated":"2024-03-25T12:48:20Z","article_number":"2301.01712","publication":"arXiv","date_published":"2023-01-04T00:00:00Z","article_processing_charge":"No","day":"04","year":"2023"}