Random regularization of Brown spectral measure

Abstract

We generalize a recent result of Haagerup; namely we show that a convolution with a standard Gaussian random matrix regularizes behaviour of Kadison--Fuglede determinant and Brown spectral distribution measure. In this way it is possible to establish a connection between limit eigenvalues distributions of a wide class of random matrices and the Brown measure of the corresponding limits.

22 pages

Cited by in corpus (22)

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