Limit theorems for free multiplicative convolutions

Details Limit theorems for free multiplicative convolutions Limit theorems for free multiplicative convolutions

2006-12-11

arxiv.org/abs/math/0612278v1

Mathematics

Operator Algebras

Scientific paper

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.

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