Kartick Adhikari, Arup Bose
Published 2017-10-23Version 1
We show that independent elliptic matrices converge to freely independent elliptic elements. Moreover, the elliptic matrices are asymptotically free with deterministic matrices under appropriate conditions. We compute the Brown measure of the product of elliptic elements. It turns out that this Brown measure is same as the limiting spectral distribution.
Asymptotic freeness of sample covariance matrices via embedding
The Brown measure of the sum of a self-adjoint element and an imaginary multiple of a semicircular element
Brown measures of deformed $L^\infty$-valued circular elements
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