MONOTONIC INDEPENDENCE ON THE WEAKLY MONOTONE FOCK SPACE AND RELATED POISSON TYPE THEOREM

DOI10.1142/S0219025705001962zbMath1087.46043MaRDI QIDQ5462132

Janusz Wysoczański

Publication date: 1 August 2005

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

zbMATH Keywords

limit theoremsmonotonic independenceweakly monotone Fock space

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Free probability and free operator algebras (46L54)

Related Items (9)

BM-CENTRAL LIMIT THEOREMS FOR POSITIVE DEFINITE REAL SYMMETRIC MATRICES ⋮ Distributions for nonsymmetric monotone and weakly monotone position operators ⋮ bm-INDEPENDENCE AND bm-CENTRAL LIMIT THEOREMS ASSOCIATED WITH SYMMETRIC CONES ⋮ Weakly monotone Fock space and monotone convolution of the Wigner law ⋮ DISCRETE INTERPOLATION BETWEEN MONOTONE PROBABILITY AND FREE PROBABILITY ⋮ Unnamed Item ⋮ Joint monotone and Boolean numerical and spectral radii of \(d\)-tuples of operators ⋮ MONOTONIC INDEPENDENCE ASSOCIATED WITH PARTIALLY ORDERED SETS ⋮ Unique ergodicity and weakly monotone Fock space

Cites Work

• Unnamed Item
• Unnamed Item
• Twisted second quantization
• Twisted canonical anticommutation relations
• Completely positive maps on Coxeter groups, deformed commutation relations, and operator spaces
• Noncommutative Brownian motion in monotone Fock space
• Unification of Boolean, monotone, anti-monotone, and tensor independence and Lévy processes
• Positive representations of general commutation relations allowing Wick ordering
• Interacting Fock Spaces and Gaussianization of Probability Measures
• Unification of Independence in Quantum Probability
• MONOTONIC INDEPENDENCE, MONOTONIC CENTRAL LIMIT THEOREM AND MONOTONIC LAW OF SMALL NUMBERS
• FILTERED STOCHASTIC CALCULUS

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