English

Limit Theorems in Free Probability Theory I

Operator Algebras 2007-05-23 v1 Probability

Abstract

Based on a new analytical approach to the definition of additive free convolution on probability measures on the real line we prove free analogs of limit theorems for sums for non-identically distributed random variables in classical Probability Theory.

Keywords

Cite

@article{arxiv.math/0602219,
  title  = {Limit Theorems in Free Probability Theory I},
  author = {G. P. Chistyakov and F. Götze},
  journal= {arXiv preprint arXiv:math/0602219},
  year   = {2007}
}