Ping Zhong

activity

20112026

most citedThe PPT square conjecture holds generically for some classes of independent states

14 citations · 57 across the 25 of their papers we have counts for

collaborators

25 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.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 $Σ_{n}$ be a deterministic non-negative matrix such that $A_{n}$ and $Σ_{n}$ converge in $*$ -moments to operators $a$ and $Σ$ respec…

math.PR2023

Spectrum of Laplacian matrices associated with large random elliptic matrices

Sean O'Rourke, Zhi Yin, Ping Zhong

A Laplacian matrix is a square matrix whose row sums are zero. We study the limiting eigenvalue distribution of a Laplacian matrix formed by taking a random elliptic matrix and sub…

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-ph2022★ 4 cited

The spectrum of local random Hamiltonians

Benoit Collins, Zhi Yin, Liang Zhao +1

The spectrum of a local random Hamiltonian can be represented generically by the so-called $ε$ -free convolution of its local terms' probability distributions. We establish an isomo…

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…