Wednesday, February 12, 2025 - 09:00 in Zoom
On the spectral edge of non--Hermitian random matrices
A talk in the Seminar Zufallsmatrizen series by
Giorgio Cipolloni
| Abstract: |
Consider a random matrix X with independent, identically distributed entries, and a deterministic deformation A. We prove that the eigenvalues statistics of A+X are universal close to the edges of its spectrum. Under mild assumptions on A, we also show that A+X does not have outliers at a distance larger than the fluctuation scale of the eigenvalues. As a consequence, the number of eigenvalues in each component of Spec(A+X) is a deterministic integer.
Within the CRC this talk is associated to the project(s): C6 |
Back
