Blar i Publikasjoner fra CRIStin - NTNU på tidsskrift "SIGMA. Symmetry, Integrability and Geometry"
Viser treff 1-5 av 5
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Categorial Independence and Lévy Processes
(Journal article; Peer reviewed, 2022) -
Monotone Cumulant-Moment Formula and Schröder Trees
(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. -
Post-Lie Magnus Expansion and BCH-Recursion
(Journal article; Peer reviewed, 2022) -
Shifted Substitution in Non-Commutative Multivariate Power Series with a View Toward Free Probability
(Peer reviewed; Journal article, 2023)We study a particular group law on formal power series in non-commuting variables induced by their interpretation as linear forms on a suitable graded connected word Hopf algebra. This group law is left-linear and is ... -
Shuffle Algebras and Non-Commutative Probabilifor Pairs of Faces
(Peer reviewed; Journal article, 2023)One can build an operatorial model for freeness by considering either the right-handed or the left-handed representation of algebras of operators acting on the free product of the underlying pointed Hilbert spaces. Considering ...