4 papers
On the spectral edge of non-Hermitian random matrices
Andrew Campbell, Giorgio Cipolloni, László Erdős +1
For general non-Hermitian random matrices and deterministic deformation matrices , we prove that the local eigenvalue statistics of close to the typical edge points of…
Spectral Estimators for Structured Generalized Linear Models via Approximate Message Passing
Yihan Zhang, Hong Chang Ji, Ramji Venkataramanan +1
We consider the problem of parameter estimation in a high-dimensional generalized linear model. Spectral methods obtained via the principal eigenvector of a suitable data-dependent…
Density of Brown measure of free circular Brownian motion
László Erdős, Hong Chang Ji
We consider the Brown measure of the free circular Brownian motion, , with an arbitrary initial condition , i.e. $\boldsymbol…
Regularity properties of free multiplicative convolution on the positive line
Hong Chang Ji
Given two nondegenerate Borel probability measures and on , we prove that their free multiplicative convolution has zero singular c…