The spectra of random abelian G-circulant matrices

Details The spectra of random abelian G-circulant matrices The spectra of random abelian G-circulant matrices

2011-09-26

arxiv.org/abs/1109.5675v1

Mathematics

Probability

Scientific paper

This paper studies the asymptotic behavior of eigenvalues of random abelian G-circulant matrices, that is, matrices whose structure is related to a finite abelian group G in a way that naturally generalizes the relationship between circulant matrices and cyclic groups. It is shown that, under mild conditions, when the size of the group G goes to infinity, the spectral measures of such random matrices approach a deterministic limit. Depending on some aspects of the structure of the groups, whether the matrices are constrained to be Hermitian, and a few details of the distributions of the matrix entries, the limit measure is either a (complex or real) Gaussian distribution or a mixture of two Gaussian distributions.

Affiliated with

Also associated with

No associations

Rating

The spectra of random abelian G-circulant matrices 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 The spectra of random abelian G-circulant matrices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The spectra of random abelian G-circulant matrices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-690193