On the edge universality of the local eigenvalue statistics of matrix models

Details On the edge universality of the local eigenvalue statistics of matrix models On the edge universality of the local eigenvalue statistics of matrix models

2003-11-29

arxiv.org/abs/math-ph/0312001v1

Mat.Fiz.Anal.Geom. 10 (2003) 335-365

Physics

Mathematical Physics

19 pages, Latex

Scientific paper

Basing on our recent results on the $1/n$-expansion in unitary invariant random matrix ensembles, known as matrix models, we prove that the local eigenvalue statistic, arising in a certain neighborhood of the edges of the support of the Density of States, is independent of the form of the potential, determining the matrix model. Our proof is applicable to the case of real analytic potentials and of supports, consisting of one or two disjoint intervals.

Affiliated with

Also associated with

No associations

Rating

On the edge universality of the local eigenvalue statistics of matrix models 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 On the edge universality of the local eigenvalue statistics of matrix models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the edge universality of the local eigenvalue statistics of matrix models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-643956