Wednesday, October 16, 2024 - 09:00 in Zoom
Subcritical multiplicative chaos and the characteristic polynomial of the C$\beta$E
A talk in the Seminar Zufallsmatrizen series by
Joseph Najnudel from University of Bristol
| Abstract: |
We expand on the relationship between random matrix and multiplicative chaos theories using the integrability properties of the circular beta-ensembles. We give a comprehensive proof of the multiplicative chaos convergence for the characteristic polynomial and eigenvalue counting function of the circular beta-ensembles throughout the subcritical phase, including negative powers. This generalizes recent results in the unitary case to any $\beta > 0$ and for the eigenvalue counting field.
Within the CRC this talk is associated to the project(s): C6 |
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