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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.PR2022
Topological indices in Random Spiro Chains
Sayle Sigarreta, Sayli Sigarreta, Hugo Cruz-Suarez
In this paper, we study topological indices in random spiro chains via a martingale approach. In which their explicit analytical expressions of the exact distribution, expected val…
math.PR2022
Probabilistic Methods in the Study of Topological Indices on Random Spider Trees
Saylé C. Sigarreta, Saylí M. Sigarreta, Hugo Cruz-Suárez
In this paper, we characterize the structure and topological indices of a class of random spider trees (RSTs) such as degree-based Gini index, degree-based Hoover index, generalize…