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A Combinatorial Approach to Voiculescu's Bi-Free Partial Transforms

Published 22 Apr 2015 in math.OA and math.PR | (1504.06005v1)

Abstract: In this paper, we present a combinatorial approach to the 2-variable bi-free partial $S$- and $T$-transforms recently discovered by Voiculescu. This approach produces an alternate definition of said transforms using $(\ell, r)$-cumulants.

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Authors (1)

  1. Paul Skoufranis 

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