Combinatorics of free cumulants
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Publication:1570758
DOI10.1006/jcta.1999.3032zbMath0966.05003arXivmath/9905094OpenAlexW2070012011MaRDI QIDQ1570758
Bernadette Krawczyk, Roland Speicher
Publication date: 16 August 2001
Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9905094
Related Items (17)
Non-crossing cumulants of type B ⋮ Cumulants for random matrices as convolutions on the symmetric group. II ⋮ Eta-diagonal distributions and infinite divisibility for R-diagonals ⋮ Sample variance in free probability ⋮ \(k\)-divisible random variables in free probability ⋮ Finite free cumulants: Multiplicative convolutions, genus expansion and infinitesimal distributions ⋮ Algebras with two multiplications and their cumulants ⋮ Using Boolean cumulants to study multiplication and anti-commutators of free random variables ⋮ Sums of commutators in free probability ⋮ Unnamed Item ⋮ The free tangent law ⋮ Star-cumulants of free unitary Brownian motion ⋮ Cumulants for random matrices as convolutions on the symmetric group ⋮ Second order cumulants of products ⋮ Traffic Distributions and Independence: Permutation Invariant Random Matrices and the Three Notions of Independence ⋮ A general solution to (free) deterministic equivalents ⋮ R-cyclic families of matrices in free probability
Cites Work
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- Chain enumeration and non-crossing partitions
- On the structure of the lattice of noncrossing partitions
- Multiplicative functions on the lattice of non-crossing partitions and free convolution
- Free quasi-free states
- Free probability theory and non-crossing partitions
- Brown's spectral distribution measure for \(R\)-diagonal elements in finite von Neumann algebras
- \(R\)-transforms of free joint distributions and non-crossing partitions
- Commutators of free random variables
- Sur les partitions non croisées d'un cycle. (The non-crossed partitions of a cycle)
- R-Diagonal Elements and Freeness With Amalgamation
- On the powers of Voiculescu's circular element
- Free Random Variables
- Combinatorial theory of the free product with amalgamation and operator-valued free probability theory
- $R$-diagonal pairs - a common approach to Haar unitaries and circular elements
- On the multiplication of free N -tuples of noncommutative random variables
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