Adding and multiplying random matrices: a generalization of Voiculescu's formulae
Zinn-Justin, P.
arXiv, 9810010 / Harvested from arXiv
Text on arXiv
In this paper, we give an elementary proof of the additivity of the functional inverses of the resolvents of large $N$ random matrices, using recently developed matrix model techniques. This proof also gives a very natural generalization of these formulae to the case of measures with an external field. A similar approach yields a relation of the same type for multiplication of random matrices.
Publié le : 1998-10-13
Classification:  Mathematical Physics,  Condensed Matter,  High Energy Physics - Theory 
@article{9810010,
     author = {Zinn-Justin, P.},
     title = {Adding and multiplying random matrices: a generalization of Voiculescu's
  formulae},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9810010}
}

Zinn-Justin, P. Adding and multiplying random matrices: a generalization of Voiculescu's
  formulae. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9810010/