Random matrices: Universality of local eigenvalue statistics up to the edge

Details Random matrices: Universality of local eigenvalue statistics up to the edge Random matrices: Universality of local eigenvalue statistics up to the edge

2009-08-13

arxiv.org/abs/0908.1982v4

Mathematics

Probability

24 pages, no figures, to appear, Comm. Math. Phys. One new reference added

Scientific paper

This is a continuation of our earlier paper on the universality of the eigenvalues of Wigner random matrices. The main new results of this paper are an extension of the results in that paper from the bulk of the spectrum up to the edge. In particular, we prove a variant of the universality results of Soshnikov for the largest eigenvalues, assuming moment conditions rather than symmetry conditions. The main new technical observation is that there is a significant bias in the Cauchy interlacing law near the edge of the spectrum which allows one to continue ensuring the delocalization of eigenvectors.

Affiliated with

Also associated with

No associations

Rating

Random matrices: Universality of local eigenvalue statistics up to the edge 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: Universality of local eigenvalue statistics up to the edge, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Random matrices: Universality of local eigenvalue statistics up to the edge will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-271990