Wednesday, May 17, 2023 - 09:00 in ZOOM - Video Conference
Super symmetry approach to the deformed Ginibre ensemble: universality of local regime
A talk in the Seminar Zufallsmatrizen series by
Mariya Shcherbina
| Abstract: |
We consider a complex Ginibre ensemble of random matrices with a
deformation $H=H_0+A$, where $H_0$ is a Gaussian complex Ginibre matrix
and $A$ is a rather general deformation matrix. The analysis of such ensemble
is motivated by many problems of random matrix theory and its applications.
We use the Grassmann integration methods to obtain integral representation of
spectral correlation functions of the first and the second order and discuss the
analysis of these representations with a saddle point method. Applications of
such an analysis to the problems of local regime of the deformed Ginibre
ensemble will be discussed.
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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