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arxiv: math/0612599 · v1 · submitted 2006-12-20 · 🧮 math.OA · math.PR

The asymptotic behavios of free convolution

classification 🧮 math.OA math.PR
keywords convolutionfreeadditiveanalyticarraysasymptoticbehavioschistyakov
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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 G\"otze using analytic subordination.

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