nLab Dan-Virgil Voiculescu

Dan-Virgil Voiculescu is a mathematician at University of Berkeley, specialized in operator algebras, and the founder of free probability theory.

  • webpage at U. Berkeley.

  • Dan-Virgil Voiculescu, Free probability theory: random matrices and von Neumann algebras, Proc. ICM 1994 pdf

  • D.V. Voiculescu, K.J. Dykema, A. Nica, Free random variables, CRM Monograph Series, vol. 1, Amer. Math. Soc. 1992.

  • D.V. Voiculescu, Limit laws for random matrices and free products, Inventiones Mathematicae 104:201–220, 1991 MR1094052

  • D.V. Voiculescu, Symmetries of some reduced free product C *C^\ast-algebras, in Operator algebras and their connections with topology and ergodic theory (Bucsteni, 1983), Lecture Notes in Math. 1132, 556–588. Springer 1985.

A noncommutative analogue of Fisher metric

  • D.-V. Voiculescu, The analogues of entropy and of Fisher’s information measure in free probability theory. V: Noncommutative Hilbert transforms, Invent. Math. 132:1 (1998) 189–227.

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