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20162025
most citedOn operator-valued infinitesimal Boolean and monotone independence

5 citations · 14 across the 9 of their papers we have counts for

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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.PR2023

A Berry-Essen Type Theorem for Finite Free Convolution

Octavio Arizmendi, Daniel Perales

We prove that the rate of convergence for the central limit theorem in finite free convolution is of order

math.PR2020★ 5 cited

Cumulant-cumulant relations in free probability theory from Magnus' expansion

A. Celestino, K. Ebrahimi-Fard, F. Patras +1

Relations between moments and cumulants play a central role in both classical and non-commutative probability theory. The latter allows for several distinct families of cumulants c…