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.References
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Additional Information
- Hari Bercovici
- Affiliation: Department of Mathematics, Indiana University, Bloomington, Indiana 47405-4301
- MR Author ID: 34985
- Email: bercovic@indiana.edu
- Jiun-Chau Wang
- Affiliation: Department of Mathematics, Indiana University, Bloomington, Indiana 47405-4301
- Email: jiuwang@indiana.edu
- Received by editor(s): December 20, 2006
- Published electronically: April 25, 2008
- Additional Notes: The first author was supported in part by a grant from the National Science Foundation.
- © Copyright 2008 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 360 (2008), 6089-6102
- MSC (2000): Primary 46L54; Secondary 60F05
- DOI: https://doi.org/10.1090/S0002-9947-08-04507-8
- MathSciNet review: 2425704