2 papers
math.PR2026
On stability of outliers from the circular law
Guillaume Dubach, Aniss Fares, Lilou Thomas
This work investigates the stability of outliers from the circular law, via the convergence of their associated diagonal overlaps between eigenvectors - also known as the squared e…
math.PR2025
Zeros Of Random Analytic Functions And Spectral Properties Of Perturbed Unitary Matrices
Aniss Fares
We study the spectral properties of a rank-one multiplicative perturbation of a unitary matrix, a model introduced by Fyodorov. Building upon earlier results by Forrester and Ipsen…