Novel universal correlations in invariant random-matrix models
chao-dyn
2009-10-30 v1 统计力学
高能物理 - 理论
混沌动力学
摘要
We show that eigenvalue correlations in unitary-invariant ensembles of large random matrices adhere to novel universal laws that only depend on a multicriticality of the bulk density of states near the soft edge of the spectrum. Our consideration is based on the previously unknown observation that genuine density of states and n-point correlation function are completely determined by the Dyson's density analytically continued onto the whole real axis.
引用
@article{arxiv.chao-dyn/9701006,
title = {Novel universal correlations in invariant random-matrix models},
author = {E. Kanzieper and V. Freilikher},
journal= {arXiv preprint arXiv:chao-dyn/9701006},
year = {2009}
}
备注
4 pages (revtex)