On the construction of free random variables

DOI10.1006/jfan.1997.3209zbMath0914.46051OpenAlexW1991408394MaRDI QIDQ1268767

Øyvind Ryan

Publication date: 21 June 1999

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

Full work available at URL: http://hdl.handle.net/10852/42953

zbMATH Keywords

multiplication by certain operators of a free family of random variablestracial noncommutative probability space

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Probability theory on algebraic and topological structures (60B99)

Cites Work

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• A ``Fourier transform for multiplicative functions on non-crossing partitions
• Addition of certain non-commuting random variables
• Interpolated free group factors
• Multiplicative functions on the lattice of non-crossing partitions and free convolution
• \(R\)-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)
• Free Random Variables
• $R$-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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