Using Boolean cumulants to study multiplication and anti-commutators of free random variables

DOI10.1090/tran/8122zbMath1462.46073arXiv1907.10842OpenAlexW3010253961WikidataQ114093773 ScholiaQ114093773MaRDI QIDQ5125060

Mitja Mastnak, Maxime Février, Alexandru Nica, Kamil Szpojankowski

Publication date: 1 October 2020

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.10842

zbMATH Keywords

Boolean cumulantscoloured noncrossing partitionsselfadjoint freely independent random variables

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Partitions of sets (05A18) Free probability and free operator algebras (46L54) Combinatorial probability (60C05) Noncommutative probability and statistics (46L53)

Related Items (6)

Boolean cumulants and subordination in free probability ⋮ Unnamed Item ⋮ On the anti-commutator of two free random variables ⋮ Conditional expectations through Boolean cumulants and subordination -- towards a better understanding of the Lukacs property in free probability ⋮ Relating moments of self-adjoint polynomials in two orthogonal projections ⋮ Motzkin path decompositions of functionals in noncommutative probability

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