Random regularization of Brown spectral measure

arxiv: math/0105109 · v4 · pith:2N7KCYLTnew · submitted 2001-05-12 · 🧮 math.PR · cond-mat· math.OA

Random regularization of Brown spectral measure

Piotr Sniady This is my paper

classification 🧮 math.PR cond-matmath.OA

keywords brownmeasurerandomspectralbehaviourclassconnectionconvolution

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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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Random regularization of Brown spectral measure

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