English

The asymptotic behavios of free convolution

Operator Algebras 2007-05-23 v1 Probability

Abstract

We give a streamlined proof of the limit theorems for the free additive convolution of infinitesimal triangular arrays of probability measures on the real line. The result was first proved by Chistyakov and G\"otze using analytic subordination.

Cite

@article{arxiv.math/0612599,
  title  = {The asymptotic behavios of free convolution},
  author = {Hari Bercovici and Jiun-Chau Wang},
  journal= {arXiv preprint arXiv:math/0612599},
  year   = {2007}
}
R2 v1 2026-07-22T17:48:09.091Z