Non-commutative stochastic independence and cumulants

DOI10.1142/S0219025717500102zbMath1381.46057arXiv1601.06779OpenAlexW2963925510MaRDI QIDQ5276032

Sarah Manzel, Michael Schürmann

Publication date: 14 July 2017

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.06779

zbMATH Keywords

monoidal categoriescumulantsquantum probabilitynon-commutative stochastic independence

Mathematics Subject Classification ID

Related Items (9)

Wick polynomials in noncommutative probability: a group-theoretical approach ⋮ Combinatorics of NC-probability spaces with independent constants ⋮ Operads of (noncrossing) partitions, interacting bialgebras, and moment-cumulant relations ⋮ Cumulants, spreadability and the Campbell-Baker-Hausdorff series ⋮ Towards a classification of multi-faced independence: a representation-theoretic approach ⋮ Shuffle algebras and non-commutative probability for pairs of faces ⋮ Algebraic structures underlying quantum independences: theory and applications ⋮ A group-theoretical approach to conditionally free cumulants ⋮ Categorial independence and Lévy processes

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