Limit theorems for free multiplicative convolutions
classification
🧮 math.OA
math.PR
keywords
variablescasefreearrayarraysbehaviorconsideredconvolutions
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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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