Wednesday, January 28, 2026 - 09:00 in online
A direct approach to soft and hard edge universality for random normal matrices
A talk in the Seminar Zufallsmatrizen series by
Joakim Cronvall
| Abstract: |
I will discuss some new results concerning local scaling limits for eigenvalues of random normal matrices. In particular we obtain new universality results for the limiting rescaled kernel at hard edges without symmetry assumptions on the potential or the hard edge. We also obtain universality for soft/hard edges and extend known results for soft edges to disconnected droplets. The results are based on a direct approach, which avoids the use of orthogonal polynomials. The main ingredients are instead Paley-Wiener theorems for Hilbert spaces of entire functions associated with the limiting kernel and a construction of weighted polynomials with properties mimicking the properties of the correlation kernel.
Within the CRC this talk is associated to the project(s): C6 |
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