H. Ji

activity

20192024

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Showing math.PRShow all

3 papers · 1 filter

math.PR2024

On the spectral edge of non-Hermitian random matrices

Andrew Campbell, Giorgio Cipolloni, László Erdős +1

For general non-Hermitian random matrices $X$ and deterministic deformation matrices $A$ , we prove that the local eigenvalue statistics of $A + X$ close to the typical edge points of…

math.PR2023

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, $a + t x$ , with an arbitrary initial condition $a$ , i.e. $\boldsymbol…

math.PR2019

Regularity properties of free multiplicative convolution on the positive line

Hong Chang Ji

Given two nondegenerate Borel probability measures $μ$ and $ν$ on $R_{+} = [0, \infty)$ , we prove that their free multiplicative convolution $μ ⊠ ν$ has zero singular c…