THE NUMBER OF PURE CONVOLUTIONS ARISING FROM CONDITIONALLY FREE CONVOLUTION

DOI10.1142/S0219025705002001zbMath1091.46043OpenAlexW1978464548MaRDI QIDQ5708775

Ferenc Oravecz

Publication date: 21 November 2005

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219025705002001

zbMATH Keywords

cumulantconditionally free convolution

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54)

Related Items (3)

Remarks on the \(r\) and \(\Delta\) convolutions ⋮ Appell polynomials and their relatives. III: Conditionally free theory ⋮ CONDITIONALLY MONOTONE INDEPENDENCE I: INDEPENDENCE, ADDITIVE CONVOLUTIONS AND RELATED CONVOLUTIONS

Cites Work

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• Addition of certain non-commuting random variables
• Multiplicative functions on the lattice of non-crossing partitions and free convolution
• Convolution and limit theorems for conditionally free random variables
• The weight function on non-crossing partitions for the \(\Delta\)-convolution
• A one-parameter family of transforms, linearizing convolution laws for probability distributions
• Sur les partitions non croisées d'un cycle. (The non-crossed partitions of a cycle)
• THE COMBINATORICS OF THE r-FREE CONVOLUTION
• FERMI CONVOLUTION
• Remarks on \(t\)-transformations of measures and convolutions

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