On Wigner's semicircle law for spectral measures of Wigner matrices
九州確率論セミナー
開催期間
2014.7.18(金)
16:00 ~ 14:30
16:00 ~ 14:30
場所
九州大学 伊都キャンパス 数理学研究教育棟3階 中セミナー3
講演者
Trinh Khanh Duy (九州大学)
概要
【講演概要】:
In this talk, I will show that the spectral measures of (real) Wigner matrices converges weakly, in probability, to the semicircle law. Central limit theorems for moments of spectral measures are also investigated. These results are similar to Wigner's semicircle law (E. Wigner 1955) and central limit theorems for moments of empirical distributions (V.L. Girko 1988, G.W. Anderson & O. Zeitouni 2006).