Double-ended queues and joint moments of left–right canonical operators on full Fock space

DOI10.1142/S0129167X15500160zbMath1328.46054arXiv1312.0269OpenAlexW2063588019MaRDI QIDQ4983028

Mitja Mastnak, Alexandru Nica

Publication date: 14 April 2015

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.0269

zbMATH Keywords

free probabilitycanonical operatorsdouble-ended queuesbi-non-crossing partitionsbi-free cumulants

Mathematics Subject Classification ID

Combinatorics in computer science (68R05) Free probability and free operator algebras (46L54)

Related Items (15)

Free probability for pairs of faces. III: 2-variables bi-free partial \(S\)- and \(T\)-transforms ⋮ Conditionally bi-free independence for pairs of faces ⋮ On bi-free de Finetti theorems ⋮ Analytic aspects of the bi-free partial \(R\)-transform ⋮ On operator-valued bi-free distributions ⋮ Mixtures of classical and free independence ⋮ Free-Boolean independence for pairs of algebras ⋮ Shuffle algebras and non-commutative probability for pairs of faces ⋮ The Bi-free Extension of Free Probability ⋮ An alternating moment condition for bi-freeness ⋮ Bi-Boolean independence for pairs of algebras ⋮ Two-faced families of non-commutative random variables having bi-free infinitely divisible distributions ⋮ Bi-monotonic independence for pairs of algebras ⋮ Compound bi-free Poisson distributions ⋮ Combinatorics of bi-freeness with amalgamation

Cites Work

• Free probability for pairs of faces. I
• Addition of certain non-commuting random variables
• Multiplicative functions on the lattice of non-crossing partitions and free convolution
• \(R\)-transforms of free joint distributions and non-crossing partitions
• Lectures on the Combinatorics of Free Probability
• Unnamed Item

This page was built for publication: Double-ended queues and joint moments of left–right canonical operators on full Fock space