article published yes Jioon Lee author Kevin Schnelli author 434AD0AE-F248-11E8-B48F-1D18A9856A870000-0003-0954-3231 Ben Stetler author Horngtzer Yau author LaEr department Random matrices, universality and disordered quantum systems project We consider N×N random matrices of the form H = W + V where W is a real symmetric or complex Hermitian Wigner matrix and V is a random or deterministic, real, diagonal matrix whose entries are independent of W. We assume subexponential decay for the matrix entries of W, and we choose V so that the eigenvalues ofW and V are typically of the same order. For a large class of diagonal matrices V , we show that the local statistics in the bulk of the spectrum are universal in the limit of large N. Institute of Mathematical Statistics2016 eng 1405.6634 00037618070001610.1214/15-AOP1023 4432349 - 2425 Lee, Jioon, et al. “Bulk Universality for Deformed Wigner Matrices.” <i>Annals of Probability</i>, vol. 44, no. 3, Institute of Mathematical Statistics, 2016, pp. 2349–425, doi:<a href="https://doi.org/10.1214/15-AOP1023">10.1214/15-AOP1023</a>. J. Lee, K. Schnelli, B. Stetler, H. Yau, Annals of Probability 44 (2016) 2349–2425. Lee, J., Schnelli, K., Stetler, B., &#38; Yau, H. (2016). Bulk universality for deformed wigner matrices. <i>Annals of Probability</i>. Institute of Mathematical Statistics. <a href="https://doi.org/10.1214/15-AOP1023">https://doi.org/10.1214/15-AOP1023</a> Lee, Jioon, Kevin Schnelli, Ben Stetler, and Horngtzer Yau. “Bulk Universality for Deformed Wigner Matrices.” <i>Annals of Probability</i>. Institute of Mathematical Statistics, 2016. <a href="https://doi.org/10.1214/15-AOP1023">https://doi.org/10.1214/15-AOP1023</a>. J. Lee, K. Schnelli, B. Stetler, and H. Yau, “Bulk universality for deformed wigner matrices,” <i>Annals of Probability</i>, vol. 44, no. 3. Institute of Mathematical Statistics, pp. 2349–2425, 2016. Lee J, Schnelli K, Stetler B, Yau H. Bulk universality for deformed wigner matrices. <i>Annals of Probability</i>. 2016;44(3):2349-2425. doi:<a href="https://doi.org/10.1214/15-AOP1023">10.1214/15-AOP1023</a> Lee J, Schnelli K, Stetler B, Yau H. 2016. Bulk universality for deformed wigner matrices. Annals of Probability. 44(3), 2349–2425. 12192018-12-11T11:50:47Z2025-09-22T09:33:43Z