3 papers
math.PR2026
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…
math.PR2025
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…
math.OA2023
BMT Independence
Octavio Arizmendi, Saul Rogelio Mendoza, Josué Vazquez-Becerra
We introduce the notion of BMT independence, allowing us to take arbitrary mixtures of boolean, monotone, and tensor independence and generalizing the notion of BM independence of…