Central Limit for the Products of Free Random Variables

Details Central Limit for the Products of Free Random Variables Central Limit for the Products of Free Random Variables

2011-01-27

arxiv.org/abs/1101.5220v2

Mathematics

Operator Algebras

correct some typos, 15 pages, 2 figures

Scientific paper

The central limit for the products of identically-distributed positive free random variables are studied by evaluating all the moments of the limit distribution. If the logarithm of the free random variables are zero mean with unity variance, the central limit is found to confine between exp(+/- c_0) with c_0 ~ 2.08. This central limit distribution is not the same but very close to the log-semicircle distribution.

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