Limit theorems for free multiplicative convolutions

Bercovici, Hari; Wang, Jiun-Chau

doi:10.1090/S0002-9947-08-04507-8

Limit theorems for free multiplicative convolutions
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by Hari Bercovici and Jiun-Chau Wang PDF

Trans. Amer. Math. Soc. 360 (2008), 6089-6102 Request permission

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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