{"department":[{"_id":"LaEr"}],"pubrep_id":"747","ddc":["510"],"type":"journal_article","_id":"1144","file":[{"file_name":"IST-2017-747-v1+1_euclid.ecp.1483347665.pdf","access_level":"open_access","content_type":"application/pdf","creator":"system","date_updated":"2018-12-12T10:18:10Z","relation":"main_file","file_size":440770,"file_id":"5329","date_created":"2018-12-12T10:18:10Z"}],"status":"public","quality_controlled":"1","publication_status":"published","volume":21,"related_material":{"record":[{"status":"public","id":"6179","relation":"dissertation_contains"}]},"article_number":"86","citation":{"short":"L. Erdös, D.J. Schröder, Electronic Communications in Probability 21 (2017).","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>","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.","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.","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>","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>."},"month":"01","author":[{"orcid":"0000-0001-5366-9603","first_name":"László","last_name":"Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","full_name":"Erdös, László"},{"id":"408ED176-F248-11E8-B48F-1D18A9856A87","first_name":"Dominik J","last_name":"Schröder","orcid":"0000-0002-2904-1856","full_name":"Schröder, Dominik J"}],"date_published":"2017-01-02T00:00:00Z","title":"Fluctuations of functions of Wigner matrices","project":[{"name":"Random matrices, universality and disordered quantum systems","call_identifier":"FP7","grant_number":"338804","_id":"258DCDE6-B435-11E9-9278-68D0E5697425"}],"scopus_import":1,"file_date_updated":"2018-12-12T10:18:10Z","date_created":"2018-12-11T11:50:23Z","acknowledgement":"Partially supported by the IST Austria Excellence Scholarship.","ec_funded":1,"publication":"Electronic Communications in Probability","doi":"10.1214/16-ECP38","year":"2017","language":[{"iso":"eng"}],"date_updated":"2023-09-07T12:54:12Z","day":"02","publist_id":"6214","intvolume":"        21","abstract":[{"lang":"eng","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]."}],"publisher":"Institute of Mathematical Statistics","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","has_accepted_license":"1","oa":1,"oa_version":"Published Version","tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"},"license":"https://creativecommons.org/licenses/by/4.0/"}