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 Electronic Communications in Probability > Vol. 12 (2007) > Paper 5 open journal systems 


A Proof of a Non-Commutative Central Limit Theorem by the Lindeberg Method

Vladislav Kargin, Courant Institute of Mathematical Sciences


Abstract
A Central Limit Theorem for non-commutative random variables is proved using the Lindeberg method. The theorem is a generalization of the Central Limit Theorem for free random variables proved by Voiculescu. The Central Limit Theorem in this paper relies on an assumption which is weaker than freeness.


Full text: PDF

Pages: 36-50

Published on: March 5, 2007
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Electronic Communications in Probability. ISSN: 1083-589X