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arXiv · 2005.04348

The Partial Transpose and Asymptotic Free Independence for Wishart Random Matrices: Part II

Mihai Popa·James A. Mingo
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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.

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Mihai Popa, James A. Mingo. 2020-05-09. The Partial Transpose and Asymptotic Free Independence for Wishart Random Matrices: Part II. https://doi.org/10.2140/pjm.2022.317.387

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