46 citations · 128 across the 37 of their papers we have counts for
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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.PR2023
Central limit theorem for crossings in randomly embedded graphs
Santiago Arenas-Velilla, Octavio Arizmendi, J. E. Paguyo
We consider the number of crossings in a random embedding of a graph, , with vertices in convex position. We give explicit formulas for the mean and variance of the number of cr…
math.PR2023★ 1 cited
New combinatorial identity for the set of partitions and limit theorems in finite free probability theory
Octavio Arizmendi, Katsunori Fujie, Yuki Ueda
We provide a refined combinatorial identity for the set of partitions of , which plays an important role in investigating several limit theorems related to finite f…