Freeness and The Transposes of Unitarily Invariant Random Matrices

Published 22 Nov 2014 in math.OA and math.PR | (1411.6173v1)

Abstract: We show that real second order freeness appears in the study of Haar unitary and unitarily invariant random matrices when transposes are also considered. In particular we obtain the unexpected result that a unitarily invariant random matrix will be asymptotically free from its transpose.

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