LIMIT THEOREMS IN Λ-BOOLEAN PROBABILITY

DOI10.1142/S0219025704001724zbMath1059.46046MaRDI QIDQ4822548

Wojciech Młotkowski

Publication date: 25 October 2004

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

zbMATH Keywords

orthogonal polynomialsnoncrossing partitionsnoncommutative probability space

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Noncommutative probability and statistics (46L53)

Related Items (2)

Distribution for non symmetric position operators on the free toy Fock space and its approximation on the full Fock space ⋮ Unnamed Item

Cites Work

• Unnamed Item
• A non-commutative central limit theorem
• Convolution and limit theorems for conditionally free random variables
• A one-parameter family of transforms, linearizing convolution laws for probability distributions
• Direct sums of tensor products and non-commutative independence
• Octabasic Laguerre polynomials and permutation statistics
• Filtered random variables, bialgebras, and convolutions
• Interacting Fock Spaces and Gaussianization of Probability Measures
• Specializations of Generalized Laguerre Polynomials
• MONOTONIC INDEPENDENCE, MONOTONIC CENTRAL LIMIT THEOREM AND MONOTONIC LAW OF SMALL NUMBERS
• CENTRAL LIMIT THEOREMS FOR COXETER SYSTEMS AND ARTIN SYSTEMS OF EXTRA LARGE TYPE
• Λ-FREE PROBABILITY

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