An information complexity index for probability measures on ℝ with all moments

DOI10.1142/S0219025716500156zbMath1354.60009MaRDI QIDQ2828063

Luigi Accardi, Mohamed Rhaima, Abdessatar Barhoumi

Publication date: 24 October 2016

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

zbMATH Keywords

probability measuresinteracting Fock spacequantum decompositioninformation complexity index

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Statistical aspects of information-theoretic topics (62B10) Probability theory on algebraic and topological structures (60B99)

Related Items (1)

$$*$$ ∗ –Lie Algebras Canonically Associated to Probability Measures on $${\pmb {\varvec{\mathbb {R}}}}$$ R with All Moments

Cites Work

• Unnamed Item
• Unnamed Item
• Quantum probability and spectral analysis of graphs. With a foreword by Professor Luigi Accardi.
• 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
• Orthogonal Polynomials Induced by Discrete-Time Quantum Walks in One Dimension
• Interacting Fock Spaces and Gaussianization of Probability Measures
• Unification of Independence in Quantum Probability
• MOMENTS AND COMMUTATORS OF PROBABILITY MEASURES
• RENORMALIZED POWERS OF QUANTUM WHITE NOISE

This page was built for publication: An information complexity index for probability measures on ℝ with all moments