Limit theorems for free multiplicative convolutions
算子代数
2007-05-23 v1 概率论
摘要
We determine the distributional behavior for products of free random variables in a general infinitesimal triangular array. In the case of positive variables, the main theorem extends a result proved earlier for arrays with identically distributed rows. The case of unitary variables is considered as well.
引用
@article{arxiv.math/0612278,
title = {Limit theorems for free multiplicative convolutions},
author = {Hari Bercovici and Jiun-Chau Wang},
journal= {arXiv preprint arXiv:math/0612278},
year = {2007}
}