English

Non-Hermitian Random Matrix Ensembles

Mathematical Physics 2009-12-01 v1 math.MP

Abstract

This is a concise review of the complex, real and quaternion real Ginibre random matrix ensembles and their elliptic deformations. Eigenvalue correlations are exactly reduced to two-point kernels and discussed in the strongly and weakly non-Hermitian limits of large matrix size.

Keywords

Cite

@article{arxiv.0911.5645,
  title  = {Non-Hermitian Random Matrix Ensembles},
  author = {B. A. Khoruzhenko and H. -J. Sommers},
  journal= {arXiv preprint arXiv:0911.5645},
  year   = {2009}
}

Comments

23 pages, invited article for the Oxford Handbook of Random Matrix Theory

R2 v1 2026-06-21T14:17:43.133Z