Analytic aspects of the bi-free partial \(R\)-transform

DOI10.1016/j.jfa.2016.04.026zbMath1360.46058arXiv1604.08623OpenAlexW2963669944MaRDI QIDQ291829

Jiun-Chau Wang, Hao-Wei Huang

Publication date: 10 June 2016

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.08623

zbMATH Keywords

Lévy-Khintchine formulabi-free \(R\)-transforminfinitely divisible law

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Free probability and free operator algebras (46L54)

Related Items (9)

Conditionally bi-free independence for pairs of faces ⋮ Limit theorems in bi-free probability theory ⋮ A combinatorial approach to the opposite bi-free partial S-transform ⋮ Towards a classification of multi-faced independence: a representation-theoretic approach ⋮ Harmonic analysis for the bi-free partial \(S\)-transform ⋮ Analogues of entropy in bi-free probability theory: non-microstate ⋮ An alternating moment condition for bi-freeness ⋮ Bi-Boolean independence for pairs of algebras ⋮ Bi-free extreme values

Cites Work

• Unnamed Item
• Unnamed Item
• Free probability for pairs of faces. III: 2-variables bi-free partial \(S\)- and \(T\)-transforms
• Free probability for pairs of faces. I
• Stable laws and domains of attraction in free probability theory
• Combinatorics of bi-freeness with amalgamation
• A combinatorial approach to Voiculescu's bi-free partial transforms
• On Two-faced Families of Non-commutative Random Variables
• Double-ended queues and joint moments of left–right canonical operators on full Fock space
• Free probability for pairs of faces. II: \(2\)-variables bi-free partial \(R\)-transform and systems with rank \(\leq1\) commutation

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