Adding and multiplying random matrices: a generalization of Voiculescu's formulae

Details Adding and multiplying random matrices: a generalization of Voiculescu's formulae Adding and multiplying random matrices: a generalization of Voiculescu's formulae

1998-10-13

arxiv.org/abs/math-ph/9810010v3

Phys. Rev. E59 #5 (1999), 4884

Physics

Mathematical Physics

11 pages, harvmac. revised x 2: refs and minor comments added

Scientific paper

10.1103/PhysRevE.59.4884

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.

Affiliated with

Also associated with

No associations

Rating

Adding and multiplying random matrices: a generalization of Voiculescu's formulae does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Adding and multiplying random matrices: a generalization of Voiculescu's formulae, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Adding and multiplying random matrices: a generalization of Voiculescu's formulae will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-236129