Ping Zhong

activity

20242026

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3 papers · 1 filter

math.PR2025

Outlier eigenvalues for full rank deformed single ring random matrices

Ching-Wei Ho, Zhi Yin, Ping Zhong

Let $A_{n}$ be an $n \times n$ deterministic matrix and $I^£_{n}$ be a deterministic non-negative matrix such that $A_{n}$ and $I^£_{n}$ converge in $*$ -moments to operators $a$ and $I^£$ res…

math.PR2025

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 $I^¼_{X_{1}}$ and $I^¼_{X_{2}}$ , respectively. Using properties of classi…

math.PR2024

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 $I^£ = I^£_{N}$ such that $A \to a$ and $I^£ \to I ¨ $ in $*$ -distribution for som…