Octavio Arizmendi

activity

20122024

most citedProducts of free random variables and k-divisible partitions

1 citations · 1 across the 4 of their papers we have counts for

collaborators

3 papers

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 $n^{1/2}$

math.PR2014

Asymptotic spectral distributions of distance $k$ -graphs of star product graphs

Octavio Arizmendi, Tulio Gaxiola

Let $G$ be a finite connected graph and let $G^{[⋆ N, k]}$ be the distance $k$ -graph of the $N$ -fold star power of $G$ . For a fixed $k \geq 1$ , we show that the large $N$ limit of…

math.OA2012★ 1 cited

Products of free random variables and k-divisible partitions

Octavio Arizmendi, Carlos Vargas

We derive a formula for the moments and the free cumulants of the multiplication of $k$ free random variables in terms of $k$ -equal and $k$ -divisible non-crossing partitions. This…

A Berry-Essen Type Theorem for Finite Free Convolution

Asymptotic spectral distributions of distance k-graphs of star product graphs

Products of free random variables and k-divisible partitions

Asymptotic spectral distributions of distance $k$ -graphs of star product graphs