D. George

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math.PR2026

Asymptotic infinitesimal freeness of covariance matrices

Daniel Munoz George, Pei-Lun Tseng

We consider $n \times n$ covariance matrices $M = \frac{1}{n} X X^{*}$ where $X = (x_{i, j})$ is a matrix whose entries are independent complex random variables with $E (x_{i, j}) = 0$ …

math.PR2025

Third Order Cumulants of products

Octavio Arizmendi, Daniel Munoz George, Saylé Sigarreta

We provide a formula for the third order free cumulants of products as entries. We apply this formula to find the third order free cumulants of various Random Matrix Ensambles incl…