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Distributional comparison for non-commutative infinitely divisible probability measures
Arturo Jaramillo, Josue Vazquez-Becerra
We determine ``cumulant-type'' upper bounds of the non-commutative Wasserstein distance for certain classes of distributions and , which are infinite divisible with respect…
Finite Free Convolution: Infinitesimal Distributions
Octavio Arizmendi, Daniel Perales, Josue Vazquez-Becerra
Finite-free additive and multiplicative convolutions are operations on the set of polynomials with real roots, introduced independently by Szegö and Walsh in the 1920s. These opera…
The Asymptotic Infinitesimal Distribution of a Real Wishart Random Matrix
James A. Mingo, Josue Vazquez-Becerra
Let be a real Wishart random matrix with aspect ratio . The limit eigenvalue distribution of is the Marchenko-Pastur law with parameter $c = \lim_N M/…
Fluctuation moments induced by conjugation with asymptotically liberating random matrix ensembles
Josue Vazquez-Becerra
G. Anderson and B. Farrel showed that conjugation of constant matrices by asymptotically liberating random unitary matrices give rise to asymptotic free independence. Independent H…