2 papers
math.PR2025
Third Order Cumulants of products
Octavio Arizmendi, Daniel Munoz George, Saylé Sigarreta
We provide a formula for the third order free cumulants of products as entries. We apply this formula to find the third order free cumulants of various Random Matrix Ensambles incl…
math.CO2025
Bound for the energy of graphs in terms of degrees and leaves
Octavio Arizmendi, Samuel Gurrola-Viramontes
We provide a new upper bound for the energy of graphs in terms of degrees and number of leaves. We apply this formula to study the energy of Erdös-Rényi graphs and Barabasi-Alber…