{"ec_funded":1,"status":"public","department":[{"_id":"LaEr"}],"oa_version":"Submitted Version","abstract":[{"text":"Let A and B be two N by N deterministic Hermitian matrices and let U be an N by N Haar distributed unitary matrix. It is well known that the spectral distribution of the sum H = A + UBU∗ converges weakly to the free additive convolution of the spectral distributions of A and B, as N tends to infinity. We establish the optimal convergence rate in the bulk of the spectrum.","lang":"eng"}],"year":"2017","publisher":"Academic Press","scopus_import":"1","article_processing_charge":"No","isi":1,"acknowledgement":"Partially supported by ERC Advanced Grant RANMAT No. 338804, Hong Kong RGC grant ECS 26301517, and the Göran Gustafsson Foundation","month":"10","date_updated":"2023-09-28T11:30:42Z","title":"Convergence rate for spectral distribution of addition of random matrices","type":"journal_article","citation":{"apa":"Bao, Z., Erdös, L., &#38; Schnelli, K. (2017). Convergence rate for spectral distribution of addition of random matrices. <i>Advances in Mathematics</i>. Academic Press. <a href=\"https://doi.org/10.1016/j.aim.2017.08.028\">https://doi.org/10.1016/j.aim.2017.08.028</a>","chicago":"Bao, Zhigang, László Erdös, and Kevin Schnelli. “Convergence Rate for Spectral Distribution of Addition of Random Matrices.” <i>Advances in Mathematics</i>. Academic Press, 2017. <a href=\"https://doi.org/10.1016/j.aim.2017.08.028\">https://doi.org/10.1016/j.aim.2017.08.028</a>.","mla":"Bao, Zhigang, et al. “Convergence Rate for Spectral Distribution of Addition of Random Matrices.” <i>Advances in Mathematics</i>, vol. 319, Academic Press, 2017, pp. 251–91, doi:<a href=\"https://doi.org/10.1016/j.aim.2017.08.028\">10.1016/j.aim.2017.08.028</a>.","ista":"Bao Z, Erdös L, Schnelli K. 2017. Convergence rate for spectral distribution of addition of random matrices. Advances in Mathematics. 319, 251–291.","short":"Z. Bao, L. Erdös, K. Schnelli, Advances in Mathematics 319 (2017) 251–291.","ieee":"Z. Bao, L. Erdös, and K. Schnelli, “Convergence rate for spectral distribution of addition of random matrices,” <i>Advances in Mathematics</i>, vol. 319. Academic Press, pp. 251–291, 2017.","ama":"Bao Z, Erdös L, Schnelli K. Convergence rate for spectral distribution of addition of random matrices. <i>Advances in Mathematics</i>. 2017;319:251-291. doi:<a href=\"https://doi.org/10.1016/j.aim.2017.08.028\">10.1016/j.aim.2017.08.028</a>"},"date_created":"2018-12-11T11:48:13Z","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","page":"251 - 291","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1606.03076"}],"oa":1,"language":[{"iso":"eng"}],"publist_id":"6935","quality_controlled":"1","intvolume":"       319","project":[{"grant_number":"338804","call_identifier":"FP7","_id":"258DCDE6-B435-11E9-9278-68D0E5697425","name":"Random matrices, universality and disordered quantum systems"}],"external_id":{"isi":["000412150400010"]},"_id":"733","volume":319,"author":[{"full_name":"Bao, Zhigang","last_name":"Bao","id":"442E6A6C-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-3036-1475","first_name":"Zhigang"},{"full_name":"Erdös, László","last_name":"Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5366-9603","first_name":"László"},{"first_name":"Kevin","orcid":"0000-0003-0954-3231","id":"434AD0AE-F248-11E8-B48F-1D18A9856A87","full_name":"Schnelli, Kevin","last_name":"Schnelli"}],"doi":"10.1016/j.aim.2017.08.028","publication_status":"published","day":"15","publication":"Advances in Mathematics","date_published":"2017-10-15T00:00:00Z"}