$$*$$ ∗ –Lie Algebras Canonically Associated to Probability Measures on $${\pmb {\varvec{\mathbb {R}}}}$$ R with All Moments
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Publication:5278123
DOI10.1007/978-981-10-2636-2_1zbMath1372.60005OpenAlexW2560705835MaRDI QIDQ5278123
Abdessatar Barhoumi, Yun Gang Lu, Luigi Accardi, Mohamed Rhaima
Publication date: 13 July 2017
Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-981-10-2636-2_1
interacting Fock spaceinformation complexity indexquantum decomposition of a classical random variable
Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional Lie (super)algebras (17B65) Statistical aspects of information-theoretic topics (62B10) Probability theory on algebraic and topological structures (60B99)
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Cites Work
- Unnamed Item
- An information complexity index for probability measures on ℝ with all moments
- One-dimensional three-state quantum walks: Weak limits and localization
- Identification of the theory of orthogonal polynomials in d-indeterminates with the theory of 3-diagonal symmetric interacting Fock spaces on ℂd
- Finite oscillator models: the Hahn oscillator
- Orthogonal Polynomials Induced by Discrete-Time Quantum Walks in One Dimension
- Interacting Fock Spaces and Gaussianization of Probability Measures
- MOMENTS AND COMMUTATORS OF PROBABILITY MEASURES
- Three approaches to the quantitative definition of information*