Semi-stable distributions in free probability theory

DOI10.1007/S11425-006-0387-ZzbMath1106.60019OpenAlexW1586208062MaRDI QIDQ862685

Zhaozhi Fan

Publication date: 24 January 2007

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-006-0387-z

zbMATH Keywords

Voiculescu transformfree cumulant transformnoncommutative random variables

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07)

Related Items (1)

Conditionally free semi-stable distributions

Cites Work

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• Self-decomposability and Lévy processes in free probability
• Addition of certain non-commuting random variables
• Addition of freely independent random variables
• Stable laws and domains of attraction in free probability theory
• Series representation for semistable laws and their domains of semistable attraction
• On a certain class of infinitely divisible distributions
• \(R\)-transforms of free joint distributions and non-crossing partitions
• Free Random Variables

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