Asymptotic analysis of random matrices with external source and a family of algebraic curves

Details Asymptotic analysis of random matrices with external source and a family of algebraic curves Asymptotic analysis of random matrices with external source and a family of algebraic curves

2006-10-20

arxiv.org/abs/math-ph/0610050v1

Physics

Mathematical Physics

Scientific paper

10.1088/0951-7715/20/7/002

We present a set of conditions which, if satisfied, provide for a complete asymptotic analysis of random matrices with source term containing two distinct eigenvalues. These conditions are shown to be equivalent to the existence of a particular algebraic curve. For the case of a quartic external field, the curve in question is proven to exist, yielding precise asymptotic information about the limiting mean density of eigenvalues, as well as bulk and edge universality.

Affiliated with

Also associated with

No associations

Rating

Asymptotic analysis of random matrices with external source and a family of algebraic curves 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 Asymptotic analysis of random matrices with external source and a family of algebraic curves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Asymptotic analysis of random matrices with external source and a family of algebraic curves will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-362100