Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4589646 | Journal of Functional Analysis | 2016 | 39 Pages |
Abstract
We consider real second order freeness in the context of Haar unitary and unitarily invariant random matrices and their transposes. We show that a unitarily invariant ensemble with a second order limit distribution is asymptotically real second order free from the transposed ensemble. In particular we obtain the unexpected result that a unitarily invariant random matrix will be asymptotically free from its transpose.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
James A. Mingo, Mihai Popa,