title: Adding and multiplying random matrices: a generalization of Voiculescu's formulas.
abstract: 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 formulas to the case of measures with an external field. A similar approach yields a relation of the same type for multiplication of random matrices.
authors.affiliation: New High Energy Theory Center, 126 Frelinghuysen Road, Piscataway, New Jersey 08854-8019, USA. pzinn@physics.rutgers.edu
authors.forename: P
authors.initials: P
authors.lastname: Zinn-Justin