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.
Cite this article
Roland Speicher, Free Convolution and the Random Sum of Matrices. Publ. Res. Inst. Math. Sci. 29 (1993), no. 5, pp. 731–744DOI 10.2977/PRIMS/1195166573