R-Cyclic Families of Matrices in Free Probability

Alexandru Nica, Dimitri Shlyakhtenko, Roland Speicher

Type: Article

Publication Date: 2002-01-01

Citations: 50

DOI: https://doi.org/10.1006/jfan.2001.3814

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Locations

arXiv (Cornell University) - PDF
Journal of Functional Analysis - View

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Works Cited by This (17)

Action	Title	Year	Authors
+	On the foundations of combinatorial theory. VI. The idea of generating function	1972	Peter Doubilet Gian‐Carlo Rota Richard P. Stanley
+	A Characterization of Freeness by a Factorization Property of R-transform	2001	Alexandru Nica Dimitri Shlyakhtenko Roland Speicher
+	Sur les partitions non croisees d'un cycle	1972	G. Kreweras
+	Addition of certain non-commuting random variables	1986	Dan Voiculescu
+	Brown's Spectral Distribution Measure for R-Diagonal Elements in Finite von Neumann Algebras	2000	Uffe Haagerup Flemming Larsen
+	Combinatorial theory of the free product with amalgamation and operator-valued free probability theory	1998	Roland Speicher
+	Some Minimization Problems for the Free Analogue of the Fisher Information	1999	Alexandru Nica Dimitri Shlyakhtenko Roland Speicher
+	Some properties of crossings and partitions	1997	Philippe Biane
+ PDF Chat	R-diagonal pairs arising as free off-diagonal compressions	1996	Alexandru Nica
+	Free Probability Theory	1996	Dan-Virgil Voiculescu