Random regularization of Brown spectral measure
Probability
2018-12-04 v4 Condensed Matter
Operator Algebras
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.
Cite
@article{arxiv.math/0105109,
title = {Random regularization of Brown spectral measure},
author = {Piotr Sniady},
journal= {arXiv preprint arXiv:math/0105109},
year = {2018}
}
Comments
22 pages