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Limit theorems for free multiplicative convolutions
Author(s):
Hari
Bercovici;
Jiun-Chau
Wang
Journal:
Trans. Amer. Math. Soc.
360
(2008),
6089-6102.
MSC (2000):
Primary 46L54;
Secondary 60F05
Posted:
April 25, 2008
MathSciNet review:
2425704
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Additional information
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.
References:
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Additional Information:
Hari
Bercovici
Affiliation:
Department of Mathematics, Indiana University, Bloomington, Indiana 47405-4301
Email:
bercovic@indiana.edu
Jiun-Chau
Wang
Affiliation:
Department of Mathematics, Indiana University, Bloomington, Indiana 47405-4301
Email:
jiuwang@indiana.edu
DOI:
10.1090/S0002-9947-08-04507-8
PII:
S 0002-9947(08)04507-8
Received by editor(s):
December 20, 2006
Posted:
April 25, 2008
Additional Notes:
The first author was supported in part by a grant from the National Science Foundation.
Copyright of article:
Copyright
2008,
American Mathematical Society
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