Random matrices and Laplacian growth

Details Random matrices and Laplacian growth Random matrices and Laplacian growth

2009-07-28

arxiv.org/abs/0907.4929v1

Physics

Mathematical Physics

20 pages, 2 figures, a contribution to the Oxford Handbook of Random Matrix Theory

Scientific paper

The theory of random matrices with eigenvalues distributed in the complex plane and more general "beta-ensembles" (logarithmic gases in 2D) is reviewed. The distribution and correlations of the eigenvalues are investigated in the large N limit. It is shown that in this limit the model is mathematically equivalent to a class of diffusion-controlled growth models for viscous flows in the Hele-Shaw cell and other growth processes of Laplacian type. The analytical methods used involve the technique of boundary value problems in two dimensions and elements of the potential theory.

Affiliated with

Also associated with

No associations

Rating

Random matrices and Laplacian growth 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 Random matrices and Laplacian growth, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Random matrices and Laplacian growth will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-682238