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Cumulants in noncommutative probability II. Generalized Gaussian random variables

Franz Lehner

Published 2002-10-29, updated 2003-02-19Version 2

We continue the investigation of noncommutative cumulants. In this paper various characterizations of noncommutative Gaussian random variables are proved.

Comments: 14 pages, AMS-LaTeX; many corrections according to the referee; to appear in Prob Th Rel Fields
Journal: Probab. Theory Related Fields 127 (2003), no. 3, 407--422
Categories: math.CO, math.OA
Subjects: 46L53, 05A18
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