Wednesday, May 11, 2022 - 09:00 in ZOOM - Video Conference
Rank one perturbations of classical beta-ensembles
A talk in the Seminar Zufallsmatrizen series by
Rostyslav Kozhan from Uppsala University
| Abstract: |
We use Dumitriu-Edelman tridiagonal matrix models to compute the
joint eigenvalue distribution of rank one non-Hermitian perturbations
of classical ensembles of random matrices (Gaussian, Wishart, chiral
Gaussian), as well as their beta-analogues. Same method can be
applied to the computation of the eigenvalue distribution for
Hermitian rank one perturbations of chiral Gaussian ensembles, as
well as rank one multiplicative non-Hermitian perturbations of each of
the above ensembles. Part of the results is a joint work with G.
Alpan.
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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