The characterizations of a semicircle law by the certain freeness in a \(C^*\)-probability space

DOI10.1007/s004400050204zbMath0929.46053OpenAlexW2091901166MaRDI QIDQ1284008

Masaru Nagisa, Hiroaki Yoshida, Osamu Hiwatashi

Publication date: 18 May 1999

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s004400050204

zbMATH Keywords

tensor productscentral limit theoremlimit distributionsemicircle lawfree random variablesGaussian lawsoperator algebra free product

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Free probability and free operator algebras (46L54) Characterization and structure theory of statistical distributions (62E10) Noncommutative probability and statistics (46L53) Free products of (C^*)-algebras (46L09)

Related Items (5)

Freeness of linear and quadratic forms in von Neumann algebras ⋮ Sums of commutators in free probability ⋮ Dual Lukacs regressions for non-commutative variables ⋮ On a class of free Lévy laws related to a regression problem ⋮ Free Ornstein--Uhlenbeck processes

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