On the localization transition in symmetric random matrices

摘要：

We study the behaviour of the inverse participation ratio and the localization transition in infinitely large random matrices through I lie cavity method. Results are shown for two ensembles of random inatrices: Laplacian matrices on sparse random graphs and fully-connected Levy matrices. We derive a critical line separating localized from extended states in the case of Levy matrices. Comparison between theoretical results and diagonalization of finite random matrices is shown.

作者: F. L. Metz I. Neri D. Bolle

作者单位: Instituut voor Theomtisclie Fynica. Katholieke Univemiteit Lutiven, Celestijnenlaan 200D, B-3001 Leuven. Belgium

会议类型: 国际会议

会议名称: International Workshop on Statistical Physics and Computer Sciences(统计物理与计算机科学交叉研究国际研讨会 )

会议地点: 北京

会议语种:英文

页码: 93-102

在线出版日期: 2010-07-08（万方平台首次上网日期，不代表论文的发表时间）