arXiv math/01051092001-05math.PRcond-matmath.OA

Random regularization of Brown spectral measure

Piotr Sniady

备注：: 22 pages
发表信息：: J. Funct. Anal. 193 (2002), no. 2, 291-313
DOI：: 10.1006/jfan.2001.3935

英文摘要：

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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