article published yes László Erdös author 4DBD5372-F248-11E8-B48F-1D18A9856A870000-0001-5366-9603 Dominik J Schröder author 408ED176-F248-11E8-B48F-1D18A9856A870000-0002-2904-1856 LaEr department Random matrices, universality and disordered quantum systems project 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]. https://research-explorer.ista.ac.at/download/1144/5329/IST-2017-747-v1+1_euclid.ecp.1483347665.pdf application/pdfno Institute of Mathematical Statistics2017 eng 00039660490003710.1214/16-ECP38 21 https://research-explorer.ista.ac.at/record/6179 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. 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>. 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> 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>. Erdös L, Schröder DJ. 2017. Fluctuations of functions of Wigner matrices. Electronic Communications in Probability. 21, 86. 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> L. Erdös, D.J. Schröder, Electronic Communications in Probability 21 (2017). 11442018-12-11T11:50:23Z2026-04-08T13:55:03Z