Random matrices: tail bounds for gaps between eigenvalues

Author:

Nguyen Hoi,Tao Terence,Vu Van

Funder

National Science Foundation

Publisher

Springer Science and Business Media LLC

Subject

Statistics, Probability and Uncertainty,Statistics and Probability,Analysis

Reference40 articles.

1. Anderson, G., Guionnet, A., Zeitouni, O.: An Introduction to Random Matrices. Cambridge University Press, Cambridge (2009)

2. Arora, S., Bhaskara, A.: Eigenvectors of random graphs: delocalization and nodal domains (preprint). http://www.cs.princeton.edu/~bhaskara/files/deloc

3. Bourgade, P., Ben Arous, G.: Extreme gaps in the eigenvalues of random matrices. Ann. Probab. 41(4), 2648-2681 (2013)

4. Bourgade, P., Erdős, L., Yau, H.-T., Yin, J.: Fixed energy universality for generalized Wigner matrices (preprint). arXiv:1407.5606

5. Babai, L., Grigoryev, D., Mount, D.: Isomorphism of graphs with bounded eigenvalue multiplicity. In: Proceedings of the 14th Annual ACM Symposium on Theory of Computing, pp. 310-324 (1982)

Cited by 25 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Solving Sparse Linear Systems Faster than Matrix Multiplication;Communications of the ACM;2024-07

2. Nodal Decompositions of a Symmetric Matrix;International Mathematics Research Notices;2024-02-14

3. The least singular value of a random symmetric matrix;Forum of Mathematics, Pi;2024

4. Overcrowding and separation estimates for the Coulomb gas;Communications on Pure and Applied Mathematics;2023-12-04

5. Controllability of Large-Scale Networks: The Control Energy Exponents;IEEE Transactions on Control of Network Systems;2023

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3