Free Convolution and the Random Sum of Matrices

Roland Speicher

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Source: Crossref

Published: Oct 31, 1993

DOI: 10.2977/prims/1195166573

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Source abstract

We show that the spectral measure of the sum of two selfadjoint matrices is 'almost surely' given by the free convolution (in the sense of Voiculescu) of the spectral measures of the two matrices if their size tends to infinity.

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