Hopf algebras and the logarithm of the $S$-transform in free probability
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Publication:3574791
DOI10.1090/S0002-9947-10-04995-0zbMath1204.46036arXiv0807.4169MaRDI QIDQ3574791
Publication date: 2 July 2010
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0807.4169
Free probability and free operator algebras (46L54) Connections of Hopf algebras with combinatorics (16T30)
Related Items (8)
Matricial model for the free multiplicative convolution ⋮ Operads of (noncrossing) partitions, interacting bialgebras, and moment-cumulant relations ⋮ A shuffle algebra point of view on operator-valued probability theory ⋮ Multiplicative and semi-multiplicative functions on non-crossing partitions, and relations to cumulants ⋮ Free convolution operators and free Hall transform ⋮ Non-crossing linked partitions, the partial order ≪ on 𝑁𝐶(𝑛), and the 𝑆-transform ⋮ Generalised operations in free harmonic analysis ⋮ A group-theoretical approach to conditionally free cumulants
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