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The partial transpose
and asymptotic free independence for Wishart random matrices,
II
James A. Mingo and Mihai Popa |
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Vol. 317 (2022), No. 2, 387–421
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Abstract |
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Using new combinatorial techniques, we significantly improve 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
Wishart random matrices, partial transpose, free
independence
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Mathematical Subject Classification
Primary: 46L54
Secondary: 05A05, 15B52
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Milestones
Received: 9 June 2020
Revised: 21 January 2022
Accepted: 21 January 2022
Published: 14 July 2022
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Authors |
| James A. Mingo | |
| Department of Mathematics and
Statistics Queen’s University Kingston, ON Canada |
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| Mihai Popa | |
| Department of Mathematics The University of Texas at San Antonio San Antonio, TX United States |
“Simon Stoilow” Institute of
Mathematics of the Romanian Academy Bucharest Romania |
