Limit theorems for free multiplicative convolutions

Hari Bercovici, Jiun-Chau Wang

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Source: Crossref

Published: Apr 25, 2008

DOI: 10.1090/s0002-9947-08-04507-8

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Source abstract

We determine the distributional behavior for products of free random variables in a general infinitesimal triangular array. The main theorems in this paper extend a result for measures supported on the positive half-line, and provide a new limit theorem for measures on the unit circle with nonzero first moment.

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