{"department":[{"_id":"LaEr"}],"date_published":"2015-09-01T00:00:00Z","author":[{"full_name":"Lee, Jioon","first_name":"Jioon","last_name":"Lee"},{"id":"434AD0AE-F248-11E8-B48F-1D18A9856A87","last_name":"Schnelli","full_name":"Schnelli, Kevin","first_name":"Kevin","orcid":"0000-0003-0954-3231"}],"publication":"Reviews in Mathematical Physics","title":"Edge universality for deformed Wigner matrices","language":[{"iso":"eng"}],"intvolume":" 27","status":"public","abstract":[{"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.","lang":"eng"}],"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1407.8015"}],"_id":"1674","year":"2015","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_updated":"2021-01-12T06:52:26Z","issue":"8","volume":27,"oa_version":"Preprint","month":"09","scopus_import":1,"publisher":"World Scientific Publishing","doi":"10.1142/S0129055X1550018X","quality_controlled":"1","date_created":"2018-12-11T11:53:24Z","type":"journal_article","publication_status":"published","article_number":"1550018","citation":{"ista":"Lee J, Schnelli K. 2015. Edge universality for deformed Wigner matrices. Reviews in Mathematical Physics. 27(8), 1550018.","apa":"Lee, J., & Schnelli, K. (2015). Edge universality for deformed Wigner matrices. Reviews in Mathematical Physics. World Scientific Publishing. https://doi.org/10.1142/S0129055X1550018X","mla":"Lee, Jioon, and Kevin Schnelli. “Edge Universality for Deformed Wigner Matrices.” Reviews in Mathematical Physics, vol. 27, no. 8, 1550018, World Scientific Publishing, 2015, doi:10.1142/S0129055X1550018X.","ieee":"J. Lee and K. Schnelli, “Edge universality for deformed Wigner matrices,” Reviews in Mathematical Physics, vol. 27, no. 8. World Scientific Publishing, 2015.","chicago":"Lee, Jioon, and Kevin Schnelli. “Edge Universality for Deformed Wigner Matrices.” Reviews in Mathematical Physics. World Scientific Publishing, 2015. https://doi.org/10.1142/S0129055X1550018X.","ama":"Lee J, Schnelli K. Edge universality for deformed Wigner matrices. Reviews in Mathematical Physics. 2015;27(8). doi:10.1142/S0129055X1550018X","short":"J. Lee, K. Schnelli, Reviews in Mathematical Physics 27 (2015)."},"day":"01","publist_id":"5475","oa":1}