Wednesday, December 13, 2023 - 09:00 in ZOOM - Video Conference
Finite size corrections for the elliptic Ginibre ensembles
A talk in the Seminar Zufallsmatrizen series by
Youngwoo Lee from National University Seoul
| Abstract: |
The elliptic Ginibre ensemble belongs to a random matrix ensemble which
interpolates between the Ginibre and Gaussian orthogonal ensembles. A
common characteristic of the ensembles is a presence of the real eigenvalues.
The real eigenvalue statistic of the GinOE is distinct from that of the GOE, and it
gives rise to two different regimes according to the non-Hermiticity parameter.
In this talk, we will present the finite size corrections of the real eigenvalue
densities for the elliptic Ginibre ensembles. We discuss finite size corrections
for the limiting densities for the global and the edge scaling limits in the both
regimes. Especially, the rates of convergence to the universal limit are shown
to be dependent on the non-Hermiticity parameter. This is based on a joint
work with Sung-Soo Byun.
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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