Freeness of linear and quadratic forms in von Neumann algebras

DOI10.1016/j.jfa.2011.07.012zbMath1373.46061arXiv1012.5586OpenAlexW2078420660MaRDI QIDQ647597

Juan-Miguel Gracia

Publication date: 24 November 2011

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.5586

zbMATH Keywords

free convolutionsfree random variablescharacterization of the semicircle law

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51)

Related Items

Sample variance in free probability ⋮ Convergence and asymptotic approximations to universal distributions in probability

Cites Work

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• The arithmetic of distributions in free probability theory
• Addition of certain non-commuting random variables
• Addition of freely independent random variables
• The characterizations of a semicircle law by the certain freeness in a \(C^*\)-probability space
• Processes with free increments
• Cumulants in noncommutative probability theory. II: Generalized Gaussian random variables
• Theory of operator algebras. II
• A new approach to subordination results in free probability
• On rings of operators
• On the characterization of the normal population by the independence of the sample mean and the sample variance
• Free Random Variables
• Lectures on the Combinatorics of Free Probability
• Taylor expansions of $R$-transforms, application to supports and moments

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