Random regularization of Brown spectral measure

Details Random regularization of Brown spectral measure Random regularization of Brown spectral measure

2001-05-12

arxiv.org/abs/math/0105109v4

J. Funct. Anal. 193 (2002), no. 2, 291-313

Mathematics

Probability

22 pages

Scientific paper

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.

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