报告人：Ofer Zeitouni (Weizmann Institute of Science & Courant Institute, NYU)
时间：2026-06-05 15:30-16:30
地点：智华楼丁石孙教室
Abstract:
The characteristic polynomial contains much information concerning the spectrum of a matrix; for example, for Hermitian matrices, the imaginary part of the logarithm of the characteristic polynomial just above the real line contains information on fluctuations of the eigenvalue counting function and on extreme gaps. For a large natural family of random matrices, the logarithm of the characteristic polynomial is asymptotically a Gaussian random distribution belonging to the family of logarithmically correlated fields.
I will review the progress obtained in the last decade on this topic, and describe some recent progress in the cases of the GβE and CβE.
No prior knowledge will be assumed.
Bio：
Ofer Zeitouni obtained his PhD in Electrical Engineering from the Technion - Israel Institute of Technology, in 1986. After postdoctoral positions at Brown University and MIT, he returned to the Technion, where he remained until 2007 as a Professor of Electrical Engineering and Mathematics. Between 2002 and 2012, he was also a Professor of Mathematics at the University of Minnesota. Since 2007, he has been with the department of Mathematics of the Weizmann Institute, where he holds the Taubman professorial chair. Since 2013, he has also been a Global Distinguished Professor of Mathematics at the Courant Institute, NYU.
Zeitouni is a fellow of the IEEE, AMS and IMS, and a member of the American Academy of Arts and Sciences, the US National Academy of Sciences, and the Israel Academy of Sciences.
