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| math.PR/0105109 |
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Title: Random regularization of Brown spectral measure
Authors: Piotr Sniady
Categories: math.PR Probability Theory (math.OA Operator Algebras; physics.cond-mat Condensed Matter)
Comments: 22 pages
MSC: 47B80
Journal reference: J. Funct. Anal. 193 (2002), no. 2, 291-313
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.
Owner: Piotr Sniady
Version 1: Sat, 12 May 2001 23:38:52 GMT
Version 2: Sat, 19 May 2001 22:38:29 GMT
Version 3: Fri, 15 Jun 2001 11:31:40 GMT
Version 4: Tue, 27 Nov 2001 22:23:56 GMT
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