A group-theoretical approach to conditionally free cumulants
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Publication:776415
DOI10.4171/204-1/3zbMath1461.16034arXiv1806.06287OpenAlexW2808003501MaRDI QIDQ776415
Kurusch Ebrahimi-Fard, Frédéric Patras
Publication date: 9 July 2020
Full work available at URL: https://arxiv.org/abs/1806.06287
free probabilityshuffle algebrapre-Lie algebracombinatorial Hopf algebraconditionally free cumulantsmoment-cumulant relations
Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Bialgebras (16T10) Hopf algebras and their applications (16T05) Connections of Hopf algebras with combinatorics (16T30) Operads (general) (18M60)
Related Items (4)
Wick polynomials in noncommutative probability: a group-theoretical approach ⋮ Cumulant-cumulant relations in free probability theory from Magnus' expansion ⋮ Relations between infinitesimal non-commutative cumulants ⋮ Monotone cumulant-moment formula and Schröder trees
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