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math.OA2009★ 3 cited
Infinitesimal non-crossing cumulants and free probability of type B
Maxime Fevrier, Alexandru Nica
Free probabilistic considerations of type B first appeared in a paper by Biane, Goodman and Nica in 2003. Recently, connections between type B and infinitesimal free probability we…
math.OA2002★ 1 cited
Non-crossing cumulants of type B
Philippe Biane, Frederick Goodman, Alexandru Nica
We establish connections between the lattices of non-crossing partitions of type B introduced by V. Reiner, and the framework of the free probability theory of D. Voiculescu. Latti…