A shuffle algebra point of view on operator-valued probability theory

DOI10.1016/j.aim.2022.108614zbMath1502.18040arXiv2005.12049OpenAlexW3027797873WikidataQ114211427 ScholiaQ114211427MaRDI QIDQ2675131

Nicolas Gilliers

Publication date: 20 September 2022

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.12049

zbMATH Keywords

noncrossing partitionsoperadsshuffle algebrasnon-commutative probabilityduoidal categoriesPROs

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Nonassociative algebras satisfying other identities (17A30) Connections of Hopf algebras with combinatorics (16T30) Operads (general) (18M60) Bimonoidal, skew-monoidal, duoidal categories (18M50)

Related Items (1)

Shuffle algebras and non-commutative probability for pairs of faces

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