{"year":"2015","publisher":"World Scientific Publishing","scopus_import":1,"oa_version":"Preprint","intvolume":"        27","oa":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","volume":27,"date_created":"2018-12-11T11:53:24Z","publist_id":"5475","quality_controlled":"1","title":"Edge universality for deformed Wigner matrices","status":"public","month":"09","date_updated":"2021-01-12T06:52:26Z","type":"journal_article","day":"01","publication":"Reviews in Mathematical Physics","author":[{"first_name":"Jioon","last_name":"Lee","full_name":"Lee, Jioon"},{"orcid":"0000-0003-0954-3231","id":"434AD0AE-F248-11E8-B48F-1D18A9856A87","full_name":"Schnelli, Kevin","first_name":"Kevin","last_name":"Schnelli"}],"doi":"10.1142/S0129055X1550018X","_id":"1674","article_number":"1550018","department":[{"_id":"LaEr"}],"language":[{"iso":"eng"}],"main_file_link":[{"url":"http://arxiv.org/abs/1407.8015","open_access":"1"}],"abstract":[{"lang":"eng","text":"We consider N × N random matrices of the form H = W + V where W is a real symmetric Wigner matrix and V a random or deterministic, real, diagonal matrix whose entries are independent of W. We assume subexponential decay for the matrix entries of W and we choose V so that the eigenvalues of W and V are typically of the same order. For a large class of diagonal matrices V, we show that the rescaled distribution of the extremal eigenvalues is given by the Tracy-Widom distribution F1 in the limit of large N. Our proofs also apply to the complex Hermitian setting, i.e. when W is a complex Hermitian Wigner matrix."}],"citation":{"ama":"Lee J, Schnelli K. Edge universality for deformed Wigner matrices. <i>Reviews in Mathematical Physics</i>. 2015;27(8). doi:<a href=\"https://doi.org/10.1142/S0129055X1550018X\">10.1142/S0129055X1550018X</a>","apa":"Lee, J., &#38; Schnelli, K. (2015). Edge universality for deformed Wigner matrices. <i>Reviews in Mathematical Physics</i>. World Scientific Publishing. <a href=\"https://doi.org/10.1142/S0129055X1550018X\">https://doi.org/10.1142/S0129055X1550018X</a>","chicago":"Lee, Jioon, and Kevin Schnelli. “Edge Universality for Deformed Wigner Matrices.” <i>Reviews in Mathematical Physics</i>. World Scientific Publishing, 2015. <a href=\"https://doi.org/10.1142/S0129055X1550018X\">https://doi.org/10.1142/S0129055X1550018X</a>.","ista":"Lee J, Schnelli K. 2015. Edge universality for deformed Wigner matrices. Reviews in Mathematical Physics. 27(8), 1550018.","short":"J. Lee, K. Schnelli, Reviews in Mathematical Physics 27 (2015).","mla":"Lee, Jioon, and Kevin Schnelli. “Edge Universality for Deformed Wigner Matrices.” <i>Reviews in Mathematical Physics</i>, vol. 27, no. 8, 1550018, World Scientific Publishing, 2015, doi:<a href=\"https://doi.org/10.1142/S0129055X1550018X\">10.1142/S0129055X1550018X</a>.","ieee":"J. Lee and K. Schnelli, “Edge universality for deformed Wigner matrices,” <i>Reviews in Mathematical Physics</i>, vol. 27, no. 8. World Scientific Publishing, 2015."},"date_published":"2015-09-01T00:00:00Z","publication_status":"published","issue":"8"}