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Published November 2016 | Submitted
Journal Article Open

Eigenvectors of random matrices: A survey

Abstract

Eigenvectors of large matrices (and graphs) play an essential role in combinatorics and theoretical computer science. The goal of this survey is to provide an up-to-date account on properties of eigenvectors when the matrix (or graph) is random.

Additional Information

© 2016 Elsevier Inc. Available online 15 July 2016. The first author thanks Professor Roman Vershynin for clarifications. The third author would like to thank Professor Tiefeng Jiang for many useful discussions and constant encouragement. The authors also thank the anonymous referee for valuable comments.

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