Ping Zhong

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math.PR2022

Deformed single ring theorems

Ching-Wei Ho, Ping Zhong

Given a sequence of deterministic matrices $A = A_{N}$ and a sequence of deterministic nonnegative matrices $Σ = Σ_{N}$ such that $A \to a$ and $Σ \to σ$ in $*$ -distribution for some op…

math.PR2022

The Brown measure of a sum of two free nonselfadjoint random variables, one of which is R-diagonal

Hari Bercovici, Ping Zhong

Suppose that $X_{1}$ and $X_{2}$ are two $*$ -free (generally unbounded) random variables with Brown measures $μ_{X_{1}}$ and $μ_{X_{2}}$ , respectively. Using properties of classica…