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Author

Zhi-Hua Zhang

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Preprint Aug 2026

Fourth-Moment Strong Universality for Finite-Type Transpose-Correlated Random Matrices

We prove a strong-universality theorem at the exact fourth-moment threshold for finite families of non-Hermitian random matrices assembled from independent unordered-pair vector atoms. Within one atom, the matrix colors and the two endpoint orientations may have arbitrary joint real covariance, subject to reversal cons...

Yan-Jin Xiang, Zhi-Hua Zhang · 0 citations
Preprint Aug 2026

Strong Convergence for a General Class of Random Matrix Models

Let \(X_{1,n},\ldots,X_{d,n}\) be \(n\times n\) random matrices built from independent i.i.d. entry arrays, with centered entries, normalized by \(n^{-1/2}\). We prove that, if every entry law has finite fourth moment, then this tuple converges almost surely strongly in \(*\)-distribution to a free circular family with...

Yan-Jin Xiang, Zhi-Hua Zhang · 1 citation

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