Central European Journal of Mathematics

, Volume 6, Issue 1, pp 87–117

Limit theorems in free probability theory II

Research Article

DOI: 10.2478/s11533-008-0006-z

Cite this article as:
Chistyakov, G.P. & Götze, F. centr.eur.j.math. (2008) 6: 87. doi:10.2478/s11533-008-0006-z


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.


Free random variables Nevanlinna functions Schur functions free convolutions limit theorems 


46L50 60E07 60E10 

Copyright information

© © Versita Warsaw and Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  1. 1.Institute for Low Temperature Physics and EngineeringNational Academy of Sciences of UkraineKharkovUkraine
  2. 2.Fakultät für MathematikUniversität BielefeldBielefeld 1Germany

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