Two-faced families of non-commutative random variables having bi-free infinitely divisible distributions

DOI10.1142/S0129167X16500373zbMath1357.46059arXiv1507.08270OpenAlexW2963821133MaRDI QIDQ2808001

Ming-Chu Gao

Publication date: 25 May 2016

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

Full work available at URL: https://arxiv.org/abs/1507.08270

zbMATH Keywords

infinitely divisible distributionslimit theoremsbi-free probabilitybi-free Lévy processes

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Free probability and free operator algebras (46L54)

Related Items (5)

Conditionally bi-free independence for pairs of faces ⋮ Multidimensional compound Poisson distributions in free probability ⋮ The Bi-free Extension of Free Probability ⋮ Non-Gaussian random bi-matrix models for bi-free central limit distributions with positive definite covariance matrices ⋮ Compound bi-free Poisson distributions

Cites Work

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• Independences and partial \(R\)-transforms in bi-free probability
• Free Random Variables
• Lectures on the Combinatorics of Free Probability
• On Two-faced Families of Non-commutative Random Variables
• Double-ended queues and joint moments of left–right canonical operators on full Fock space

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