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math.OA2008★ 3 cited
On multiplicative conditionally free convolution
Mihai Popa, Jiun-Chau Wang
Using the combinatorics of non-crossing partitions, we construct a conditionally free analogue of the Voiculescu's S-transform. The result is applied to analytical description of c…
math.OA2008★ 7 cited
Limit theorems for additive c-free convolution
Jiun-Chau Wang
In this paper we find necessary and sufficient conditions for the weak convergence of c-free convolution of pairs of measures, where the measures are assumed to be infinitesimal an…