Norms of randomized circulant matrices

被引：2

作者：

Latala, Rafal ^{[1
]}

Swiatowski, Witold ^{[2
]}

机构：

[1] Univ Warsaw, Inst Math, Warsaw, Poland

[2] Polish Acad Sci, Inst Math, Warsaw, Poland

来源：

ELECTRONIC JOURNAL OF PROBABILITY | 2022年 / 27卷

关键词：

non-homogenous random matrix; operator norm; circulant matrix;

D O I：

10.1214/22-EJP799

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We investigate two-sided bounds for operator norms of random matrices with nonhomogenous independent entries. We formulate a lower bound for Rademacher matrices and conjecture that it may be reversed up to a universal constant. We show that our conjecture holds up to log log n factor for randomized n ?? n circulant matrices and that the double logarithm may be eliminated under some mild additional assumptions on the coefficients.

引用

页数：24

共 14 条

[1]

ANDERSON G. W., 2010, Cambridge Studies in Advanced Mathematics, V118

[2]

BANDEIRA A., ARXIV210806312

[3] THE DISTRIBUTION OF VECTOR-VALUED RADEMACHER SERIES [J].