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arxiv: 1306.6082 · v1 · pith:OQD3R5IQnew · submitted 2013-06-25 · 🧮 math.OA · math.PR

Free Probability for Pairs of Faces I

classification 🧮 math.OA math.PR
keywords bi-freevariablesfacesanotherbi-freenesscentralconsiderconvolution
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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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