Ping Zhong

collaborators

3 papers

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…

math.OA2022

The Brown measure of a sum of two free random variables, one of which is triangular elliptic

Serban Belinschi, Zhi Yin, Ping Zhong

The triangular elliptic operators are natural extensions of the elliptic deformation of circular operators. We obtain a Brown measure formula for the sum of a triangular elliptic o…