Wednesday, January 31, 2024 - 09:00 in ZOOM - Video Conference
Two edge statistics for deformed GinUEs
A talk in the Seminar Zufallsmatrizen series by
Dang-Zheng Liu
| Abstract: |
Considering a sum of a complex Ginibre matrix and a
deterministic matrix, we prove that there are only two kinds
of eigenvalue statistics at the spectral edge: Ginibre
edge statistics and critical statistics. The latter seems
new. The method depends on a key finding that the
eigenvalue correlation functions can be expressed as matrix
integrals via auto-correlations of characteristic
polynomials. This talk is based on joint work with Lu Zhang
(USTC).
Please contact Lucas Hackl
(Lucas.Hackl@unimelb.edu.au) for details regarding access
Within the CRC this talk is associated to the project(s): C6 |
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