Browsing Institutt for matematiske fag by Author "Celestino Rodriguez, Adrian de Jesus"
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Cumulant–Cumulant Relations in Free Probability Theory from Magnus’ Expansion
Celestino Rodriguez, Adrian de Jesus; Ebrahimi-Fard, Kurusch; Patras, Frédéric; Perales, Daniel (Peer reviewed; Journal article, 2021) -
Monotone Cumulant-Moment Formula and Schröder Trees
Arizmendi, Octavio; Celestino Rodriguez, Adrian de Jesus (Peer reviewed; Journal article, 2022)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.