ASSOCIATIVE CONVOLUTIONS ARISING FROM CONDITIONALLY FREE CONVOLUTION

DOI10.1142/S0219025705002104zbMath1087.46042MaRDI QIDQ5708786

Anna Dorota Krystek, Łukasz Jan Wojakowski

Publication date: 21 November 2005

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

zbMATH Keywords

convolutionlimit theoremsconditionally freemoment-cumulant formulaedeformation of measure

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53)

Related Items (6)

BI-POISSON PROCESS ⋮ New characterization of two-state normal distribution ⋮ Semigroups of distributions with linear Jacobi parameters ⋮ Remarks on the \(r\) and \(\Delta\) convolutions ⋮ Quadratic harnesses, $q$-commutations, and orthogonal martingale polynomials ⋮ CONDITIONALLY MONOTONE INDEPENDENCE I: INDEPENDENCE, ADDITIVE CONVOLUTIONS AND RELATED CONVOLUTIONS

Cites Work

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• Lévy-Hinčin type theorems for multiplicative and additive free convolution
• Multiplicative functions on the lattice of non-crossing partitions and free convolution
• Convolution and limit theorems for conditionally free random variables
• Interacting Fock Spaces and Gaussianization of Probability Measures
• Remarks on \(t\)-transformations of measures and convolutions

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