文章基本信息

标题：The spectral norm of random lifts of matrices
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作者：Afonso S. Bandeira ; Yunzi Ding
期刊名称：Electronic Communications in Probability
印刷版ISSN：1083-589X
出版年度：2021
卷号：26
页码：1-10
DOI：10.1214/21-ECP415
语种：English
出版社：Electronic Communications in Probability
摘要：We study the spectral norm of random lifts of matrices. Given an n×n symmetric matrix A, and a centered distribution π on k×k(k≥2) symmetric matrices with spectral norm at most 1, let the matrix random lift A(k,π) be the random symmetric kn×kn matrix (AijXij)1≤i关键词：60C99; concentration inequality; matrix lifts; Random matrix theory