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Mathematics  2013 

Free Probability for Pairs of Faces I

DOI: 10.1007/s00220-014-2060-7

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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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