English

A note on the folklore of free independence

Probability 2018-02-06 v1

Abstract

It is shown that a Wishart matrix of standard complex normal random variables is asymptotically freely independent of an independent random matrix, under minimal conditions, in two different sense of asymptotic free independence.

Keywords

Cite

@article{arxiv.1802.00952,
  title  = {A note on the folklore of free independence},
  author = {Arijit Chakrabarty and Sukrit Chakraborty and Rajat Subhra Hazra},
  journal= {arXiv preprint arXiv:1802.00952},
  year   = {2018}
}