Ping Zhong

activity

20242026

collaborators

5 papers

math.OA2026

Freely infinitely divisible $R$ -diagonal elements and Brown measure

Yu Kitagawa, Mihai Popa, Ping Zhong

We study freely infinitely divisible $R$ -diagonal elements in the unbounded setting and Brown measures for free additive perturbations by such elements. This class includes circula…

math.OA2025

Brown measure of the sum of an elliptic operator and a free random variable in a finite von Neumann algebra

Ping Zhong

Given an $n \times n$ random matrix $X_{n}$ with i.i.d. entries of unit variance, the circular law says that the empirical spectral distribution (ESD) of $X_{n} / n$ converges to t…

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…

Freely infinitely divisible R-diagonal elements and Brown measure

Brown measure of the sum of an elliptic operator and a free random variable in a finite von Neumann algebra

Outlier eigenvalues for full rank deformed single ring random matrices

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

Deformed single ring theorems

Freely infinitely divisible $R$ -diagonal elements and Brown measure