Wednesday, July 3, 2024 - 09:00 in Zoom
q-deformed Gaussian unitary ensemble: spectral moments and genus-type expansions
A talk in the Seminar Zufallsmatrizen series by
Jaeseong Oh
| Abstract: |
The eigenvalue probability density function of the Gaussian Unitary Ensemble permits a $q$-extension related to the discrete $q$-Hermite weight and the corresponding $q$-orthogonal polynomials. In this talk, I will review Flajolet and Viennot's classical theory concerning the combinatorics of the moments of orthogonal polynomials. This theory enabled us to derive a positive sum formula for the spectral moments of this model. This is based on joint work with Sung-Soo Byun and Peter Forrester.
Within the CRC this talk is associated to the project(s): C6 |
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