M. Zhou

collaborators

3 papers

math.OA2025

Quaternionic Green's Function and the Brown Measure of Atomic Operators

Max Sun Zhou

We analyze the Brown measure the non-normal operators $X = p + i q$ , where $p$ and $q$ are Hermitian, freely independent, and have spectra consisting of finitely many atoms. We use…

math.OA2025

Convergence of the Laws of Non-Hermitian Sums of Projections

Max Sun Zhou

We consider the random matrix model $X_{n} = P_{n} + i Q_{n}$ , where $P_{n}$ and $Q_{n}$ are independently Haar-unitary rotated Hermitian matrices with at most $2$ atoms in their spectra. Le…

math.OA2024

The Brown Measure of Non-Hermitian Sums of Projections

Max Sun Zhou

We compute the Brown measure of the non-normal operators $X = p + i q$ , where $p$ and $q$ are Hermitian, freely independent, and have spectra consisting of $2$ atoms. The computati…