{"quality_controlled":0,"title":"Universality of sine-kernel for Wigner matrices with a small Gaussian perturbation","day":"01","date_created":"2018-12-11T11:59:27Z","author":[{"first_name":"László","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","full_name":"László Erdös","last_name":"Erdös","orcid":"0000-0001-5366-9603"},{"first_name":"José","full_name":"Ramírez, José A","last_name":"Ramírez"},{"first_name":"Benjamin","last_name":"Schlein","full_name":"Schlein, Benjamin"},{"first_name":"Horng","full_name":"Yau, Horng-Tzer","last_name":"Yau"}],"intvolume":"        15","date_published":"2010-01-01T00:00:00Z","citation":{"mla":"Erdös, László, et al. “Universality of Sine-Kernel for Wigner Matrices with a Small Gaussian Perturbation.” <i>Electronic Journal of Probability</i>, vol. 15, no. 18, Institute of Mathematical Statistics, 2010, pp. 526–603, doi:<a href=\"https://doi.org/10.1214/EJP.v15-768\">10.1214/EJP.v15-768</a>.","ieee":"L. Erdös, J. Ramírez, B. Schlein, and H. Yau, “Universality of sine-kernel for Wigner matrices with a small Gaussian perturbation,” <i>Electronic Journal of Probability</i>, vol. 15, no. 18. Institute of Mathematical Statistics, pp. 526–603, 2010.","apa":"Erdös, L., Ramírez, J., Schlein, B., &#38; Yau, H. (2010). Universality of sine-kernel for Wigner matrices with a small Gaussian perturbation. <i>Electronic Journal of Probability</i>. Institute of Mathematical Statistics. <a href=\"https://doi.org/10.1214/EJP.v15-768\">https://doi.org/10.1214/EJP.v15-768</a>","ama":"Erdös L, Ramírez J, Schlein B, Yau H. Universality of sine-kernel for Wigner matrices with a small Gaussian perturbation. <i>Electronic Journal of Probability</i>. 2010;15(18):526-603. doi:<a href=\"https://doi.org/10.1214/EJP.v15-768\">10.1214/EJP.v15-768</a>","ista":"Erdös L, Ramírez J, Schlein B, Yau H. 2010. Universality of sine-kernel for Wigner matrices with a small Gaussian perturbation. Electronic Journal of Probability. 15(18), 526–603.","short":"L. Erdös, J. Ramírez, B. Schlein, H. Yau, Electronic Journal of Probability 15 (2010) 526–603.","chicago":"Erdös, László, José Ramírez, Benjamin Schlein, and Horng Yau. “Universality of Sine-Kernel for Wigner Matrices with a Small Gaussian Perturbation.” <i>Electronic Journal of Probability</i>. Institute of Mathematical Statistics, 2010. <a href=\"https://doi.org/10.1214/EJP.v15-768\">https://doi.org/10.1214/EJP.v15-768</a>."},"publist_id":"4131","issue":"18","status":"public","_id":"2761","year":"2010","publication":"Electronic Journal of Probability","tmp":{"image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"volume":15,"page":"526 - 603","type":"journal_article","abstract":[{"lang":"eng","text":"We consider N × N Hermitian random matrices with independent identically distributed entries (Wigner matrices). We assume that the distribution of the entries have a Gaussian component with variance N 3/4+β for some positive β &gt; 0. We prove that the local eigenvalue statistics follows the universal Dyson sine kernel."}],"doi":"10.1214/EJP.v15-768","month":"01","date_updated":"2021-01-12T06:59:31Z","publication_status":"published","extern":1,"publisher":"Institute of Mathematical Statistics"}