Gaussian matrix model in an external field and non-intersecting Brownian motions

Details Gaussian matrix model in an external field and non-intersecting Brownian motions Gaussian matrix model in an external field and non-intersecting Brownian motions

2008-03-05

arxiv.org/abs/0803.0705v1

Physics

Mathematical Physics

52 pages, 10 figures

Scientific paper

We study the Gaussian hermitian random matrix ensemble with an external matrix which has an arbitrary number of eigenvalues with arbitrary multiplicity. We compute the limiting eigenvalues correlations when the size of the matrix goes to infinity in non-critical regimes. We show that they exhibit universal behavior and can be expressed with the Sine and Airy kernels. We also briefly review the implication of these results in terms of non-intersecting Brownian motions.

Affiliated with

Also associated with

No associations

Rating

Gaussian matrix model in an external field and non-intersecting Brownian motions 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 Gaussian matrix model in an external field and non-intersecting Brownian motions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Gaussian matrix model in an external field and non-intersecting Brownian motions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-161595