Ping Zhong

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20242026

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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…

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

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