Wednesday, February 11, 2026 - 09:00 in online
On the Eigenvalue Rigidity of the Jacobi Unitary Ensemble
A talk in the Seminar Zufallsmatrizen series by
Dan Dai
| Abstract: |
We prove an optimal global rigidity estimate for the eigenvalues of the Jacobi unitary ensemble. Our approach begins by constructing a random measure defined through the eigenvalue counting function. We then prove its convergence to a Gaussian multiplicative chaos measure, which leads to the desired rigidity result. To establish this convergence, we apply a sufficient condition from Claeys et al. (Duke Math. J. 2021) and conduct an asymptotic analysis of the related exponential moments. This is a joint work with Chenhao Lu.
Within the CRC this talk is associated to the project(s): C6 |
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