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Free Probability for Pairs of Faces I

Published 25 Jun 2013 in math.OA and math.PR | (1306.6082v1)

Abstract: We consider a notion of bi-freeness for systems of non-commutative random variables with two faces, one of left variables and another of right variables. This includes bi-free convolution operations, bi-free cumulants and the bi-free central limit.

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