Limit theorems in free probability theory II |
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Authors: | Gennadii P. Chistyakov Friedrich Götze |
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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 |
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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 we prove analogs of limit theorems for nonidentically distributed random variables in classical Probability Theory. |
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Keywords: | Free random variables Nevanlinna functions Schur functions free convolutions limit theorems |
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