# Distribution of Eigenvalues of Weighted, Structured Matrix Ensembles

@article{Beckwith2015DistributionOE, title={Distribution of Eigenvalues of Weighted, Structured Matrix Ensembles}, author={Olivia Beckwith and Victor Luo and Steven J. Miller and Karen Shen and Nicholas Triantafillou}, journal={Integers}, year={2015}, volume={15}, pages={A21} }

The limiting distribution of eigenvalues of N x N random matrices has many applications. One of the most studied ensembles are real symmetric matrices with independent entries iidrv; the limiting rescaled spectral measure (LRSM) $\widetilde{\mu}$ is the semi-circle. Studies have determined the LRSMs for many structured ensembles, such as Toeplitz and circulant matrices. These have very different behavior; the LRSM for both have unbounded support. Given a structured ensemble such that (i) each… CONTINUE READING

Create an AI-powered research feed to stay up to date with new papers like this posted to ArXiv

#### Citations

##### Publications citing this paper.

SHOWING 1-6 OF 6 CITATIONS

## Bulk behaviour of Schur-Hadamard products of symmetric random matrices

VIEW 3 EXCERPTS

CITES RESULTS & BACKGROUND

HIGHLY INFLUENCED

#### References

##### Publications referenced by this paper.

SHOWING 1-7 OF 7 REFERENCES