James A. Mingo

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math.PR2026

Infinitesimal freeness for orthogonally invariant random matrices

Guillaume CÃ©bron, James A Mingo

We introduce a new kind of free independence, called real infinitesimal freeness. We show that independent orthogonally invariant with infinitesimal laws are asymptotically real in…

math.PR2025

Asymptotic limit of cumulants and higher order free cumulants of complex Wigner matrices

James A. Mingo, Daniel Munoz George

We compute the fluctuation moments $I^\pm_{m_{1}, \dots, m_{r}}$ of a Complex Wigner Matrix $X_{N}$ given by the limit $lim_{N \to \infty} N^{r - 2} k_{r} (T r (X_{N}^{m_{1}}), \dots, T r (X_{N}^{m_{r}}))$ …