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Limit theorems in free probability theory II
Authors:Gennadii P. Chistyakov  Friedrich Götze
Affiliation:1.Institute for Low Temperature Physics and Engineering,National Academy of Sciences of Ukraine,Kharkov,Ukraine;2.Fakult?t für Mathematik,Universit?t Bielefeld,Bielefeld 1,Germany
Abstract:Based on an analytical approach to the definition of multiplicative free convolution on probability measures on the nonnegative line ℝ+ and on the unit circle $$
mathbb{T}
$$ we prove analogs of limit theorems for nonidentically distributed random variables in classical Probability Theory.
Keywords:Free random variables  Nevanlinna functions  Schur functions  free convolutions  limit theorems
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