Wednesday, June 14, 2023 - 09:10 in ZOOM - Video Conference
A matrix model of a non-Hermitian beta ensemble
A talk in the Seminar Zufallsmatrizen series by
Henry Taylor
| Abstract: |
I will introduce the first random matrix model of a complex beta
ensemble. The main feature of the model is that the exponent beta of
the Vandermonde determinant in the joint probability density function
(j.p.d.f) of the eigenvalues can take any real positive number. However,
when beta=2, the j.p.d.f. does not reduce to that of the Ginibre
ensemble, but it contains an extra factor expressed as a
multidimensional integral over the space of the eigenvectors.
This is joint work with Francesco Mezzadri and can be found on
arXiv:2305.13184.
Within the CRC this talk is associated to the project(s): C6 |
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