3 citations · 8 across the 17 of their papers we have counts for
5 papers · 1 filter
Monotone Cumulant-Moment Formula and Schröder Trees
Octavio Arizmendi, Adrian Celestino
We prove a formula to express multivariate monotone cumulants of random variables in terms of their moments by using a Hopf algebra of decorated Schröder trees.
Finite Free Cumulants: Multiplicative Convolutions, Genus Expansion and Infinitesimal Distributions
Octavio Arizmendi, Jorge Garza-Vargas, Daniel Perales
Given two polynomials of degree , we give a combinatorial formula for the finite free cumulants of . We show that this formula admits a topolo…
Universality of free random variables: atoms for non-commutative rational functions
Octavio Arizmendi, Guillaume Cébron, Roland Speicher +1
Consider a tuple of normal operators in a tracial operator algebra setting with prescribed sizes of the eigenspaces for each . We address the question what o…
Energy and Randic index of directed graphs
Gerardo Arizmendi, Octavio Arizmendi
The concept of Randic index has been extended recently for a digraph. We prove that , where is a digraph, and denotes the…
Graphs of Maximal Energy with Fixed Maximal Degree
Octavio Arizmendi, Jorge Fernandez Hidalgo
We give a bound for the graph energy with given maximal degree in terms of the second and fourth moments of a graph. In the case in which the graph is -regular we obtain the bou…