Random Matrix Analysis of Spectral Properties in Directed Complex Networks

摘要：

　　By using non-Hermitian random matrix theory,the spectra of adjacency matrices of directed complex networks are analyzed.Both the short-range and long-range correlations in the eigenvalues are numerically calculated for typical directed complex networks and compared with the predictions of Ginibres Ensemble.The spectral density ρ(λ),the nearest neighbor spacing distribution p(s)and the number variance Σ2(L)show good agreements with Ginibres ensemble when the adjacency matrices of directed complex networks are in the strongly non-Hermitian regime.Therefore,non-Hermitian random matrix theory provides a new way to model and study the spectral properties of directed complex networks.

关键词： Directed Complex Network Ginibre Ensemble Spectral Analysis

作者: Bin Ye Kangwei Zuo Jiajia Jia

作者单位: School of Information and Electrical Engineering,China University of Mining and Technology,Xuzhou 221116,P.R.China

会议类型: 国际会议

会议名称: 第26届中国控制与决策会议(2014 CCDC)

会议地点: 长沙

会议语种:英文

页码: 616-620

在线出版日期: 2014-05-31（万方平台首次上网日期，不代表论文的发表时间）