2 papers
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 oper…
math.OA2025
-transform in Finite Free Probability
Octavio Arizmendi, Katsunori Fujie, Daniel Perales +1
We present a simplified explanation of why free fractional convolution corresponds to the differentiation of polynomials, by finding how the finite free cumulants of a polynomial b…