Non-Gaussian Random Matrix Models for Two-faced Families of Random Variables Having Bi-free Central Limit Distributions
Operator Algebras
2018-06-22 v2
Abstract
In this paper, we construct random two-faced families of matrices with non-Gaussian entries to approximate a two-faced family of random variables having a bi-free central limit distribution. We prove that, under modest conditions weaker than independence, a family of random two-faced family of matrices with non-Gaussian entries is asymptotically bi-free from a two-faced family of constant diagonal matrices.
Keywords
Cite
@article{arxiv.1806.05399,
title = {Non-Gaussian Random Matrix Models for Two-faced Families of Random Variables Having Bi-free Central Limit Distributions},
author = {Mingchu Gao},
journal= {arXiv preprint arXiv:1806.05399},
year = {2018}
}
Comments
12 pages