Wednesday, June 16, 2021 - 09:00 in ZOOM - Video Conference
Real eigenvalues of elliptic random matrices
A talk in the Seminar Zufallsmatrizen series by
Sungsoo Byun from Seoul National University
| Abstract: |
In this talk, I will discuss the real eigenvalues of the real elliptic Ginibre matrix, the model which provides a natural bridge between Hermitian and non-Hermitian random matrix theories. In the almost-Hermitian regime pioneered by Fyodorov, Khoruzhenko and Sommers, I will present the large-N expansion of the mean and the variance of the number of real eigenvalues. Furthermore I will explain the limiting empirical distributions of the real eigenvalues which interpolate the Wigner semicircle law and the uniform distribution. The proofs are based on the skew-orthogonal representation of the correlation kernel due to Forrester and Nagao.
This is a joint work with Nam-Gyu Kang (KIAS), Ji Oon Lee (KAIST) and Jinyeop Lee (LMU).
Please contact Gernot Akemann (akemann@physik.uni-bielefeld.de) for details regarding access.
Within the CRC this talk is associated to the project(s): C6 |
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