The Partial Transpose and Asymptotic Free Independence for Wishart Random Matrices: Part II
Operator Algebras
2022-07-20 v1 Combinatorics
Abstract
Using new combinatorial techniques, we significantly improve the previous results on asymptotic distributions and asymptotic free independence relations of partial transposes of Wishart random matrices. In particular, we give a necessary and sufficient condition for the asymptotic free independence of partial transposes of Wishart matrices with difference block sizes.
Keywords
Cite
@article{arxiv.2005.04348,
title = {The Partial Transpose and Asymptotic Free Independence for Wishart Random Matrices: Part II},
author = {Mihai Popa and James A. Mingo},
journal= {arXiv preprint arXiv:2005.04348},
year = {2022}
}
Comments
30 pages, 5 figures