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.
- Received 28 October 1998
DOI:https://doi.org/10.1103/PhysRevE.59.4884
©1999 American Physical Society