{"ec_funded":1,"language":[{"iso":"eng"}],"tmp":{"short":"CC BY (4.0)","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)"},"file_date_updated":"2018-12-12T10:18:10Z","file":[{"date_updated":"2018-12-12T10:18:10Z","date_created":"2018-12-12T10:18:10Z","relation":"main_file","file_id":"5329","access_level":"open_access","file_size":440770,"creator":"system","content_type":"application/pdf","file_name":"IST-2017-747-v1+1_euclid.ecp.1483347665.pdf"}],"article_number":"86","month":"01","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","quality_controlled":"1","day":"02","_id":"1144","publist_id":"6214","has_accepted_license":"1","publication_status":"published","date_updated":"2023-09-07T12:54:12Z","title":"Fluctuations of functions of Wigner matrices","doi":"10.1214/16-ECP38","department":[{"_id":"LaEr"}],"intvolume":"        21","publisher":"Institute of Mathematical Statistics","author":[{"last_name":"Erdös","full_name":"Erdös, László","orcid":"0000-0001-5366-9603","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","first_name":"László"},{"full_name":"Schröder, Dominik J","orcid":"0000-0002-2904-1856","last_name":"Schröder","first_name":"Dominik J","id":"408ED176-F248-11E8-B48F-1D18A9856A87"}],"abstract":[{"text":"We show that matrix elements of functions of N × N Wigner matrices fluctuate on a scale of order N−1/2 and we identify the limiting fluctuation. Our result holds for any function f of the matrix that has bounded variation thus considerably relaxing the regularity requirement imposed in [7, 11].","lang":"eng"}],"oa":1,"date_created":"2018-12-11T11:50:23Z","publication":"Electronic Communications in Probability","type":"journal_article","volume":21,"citation":{"ieee":"L. Erdös and D. J. Schröder, “Fluctuations of functions of Wigner matrices,” <i>Electronic Communications in Probability</i>, vol. 21. Institute of Mathematical Statistics, 2017.","short":"L. Erdös, D.J. Schröder, Electronic Communications in Probability 21 (2017).","chicago":"Erdös, László, and Dominik J Schröder. “Fluctuations of Functions of Wigner Matrices.” <i>Electronic Communications in Probability</i>. Institute of Mathematical Statistics, 2017. <a href=\"https://doi.org/10.1214/16-ECP38\">https://doi.org/10.1214/16-ECP38</a>.","mla":"Erdös, László, and Dominik J. Schröder. “Fluctuations of Functions of Wigner Matrices.” <i>Electronic Communications in Probability</i>, vol. 21, 86, Institute of Mathematical Statistics, 2017, doi:<a href=\"https://doi.org/10.1214/16-ECP38\">10.1214/16-ECP38</a>.","ista":"Erdös L, Schröder DJ. 2017. Fluctuations of functions of Wigner matrices. Electronic Communications in Probability. 21, 86.","ama":"Erdös L, Schröder DJ. Fluctuations of functions of Wigner matrices. <i>Electronic Communications in Probability</i>. 2017;21. doi:<a href=\"https://doi.org/10.1214/16-ECP38\">10.1214/16-ECP38</a>","apa":"Erdös, L., &#38; Schröder, D. J. (2017). Fluctuations of functions of Wigner matrices. <i>Electronic Communications in Probability</i>. Institute of Mathematical Statistics. <a href=\"https://doi.org/10.1214/16-ECP38\">https://doi.org/10.1214/16-ECP38</a>"},"date_published":"2017-01-02T00:00:00Z","pubrep_id":"747","acknowledgement":"Partially supported by the IST Austria Excellence Scholarship.","year":"2017","ddc":["510"],"scopus_import":1,"status":"public","oa_version":"Published Version","project":[{"call_identifier":"FP7","_id":"258DCDE6-B435-11E9-9278-68D0E5697425","name":"Random matrices, universality and disordered quantum systems","grant_number":"338804"}],"related_material":{"record":[{"id":"6179","status":"public","relation":"dissertation_contains"}]}}