Statistical inference in non-commutative probability

DOI10.1007/BF02925030zbMath0555.60059OpenAlexW2073512726MaRDI QIDQ3218899

J.-P. Marchand

Publication date: 1982

Published in: Rendiconti del Seminario Matematico e Fisico di Milano (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02925030

zbMATH Keywords

Neumann algebras\(C^*\)-algebraic generalization

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Stochastic mechanics (including stochastic electrodynamics) (81P20)

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Cites Work

• Generalized transition probability, mobility and symmetries
• Statistical inference in quantum mechanics
• A generalised entropy function
• Conditional expectations on von Neumann algebras: A new approach
• Statistical inference in coupled quantum systems
• A Radon-Nikodym theorem for *-algebras
• Bures distance function and a generalization o f Sakai's non-commutative Radon-Nikodym theorem
• Bures distance and relative entropy
• A Radon-Nikodym theorem in 𝑊*-algebras