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math.OA2006
The asymptotic behavios of free convolution
Hari Bercovici, Jiun-Chau Wang
We give a streamlined proof of the limit theorems for the free additive convolution of infinitesimal triangular arrays of probability measures on the real line. The result was firs…
math.OA2006★ 2 cited
Limit theorems for free multiplicative convolutions
Hari Bercovici, Jiun-Chau Wang
We determine the distributional behavior for products of free random variables in a general infinitesimal triangular array. In the case of positive variables, the main theorem exte…