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The asymptotic behavios of free convolution

Hari Bercovici, Jiun-Chau Wang

math.OAarXiv:math/0612599

Abstract

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 first proved by Chistyakov and Götze using analytic subordination.

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