On the spectral norm of Rademacher matrices

Transactions of the American Mathematical Society 2026 Open access

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Authors: Rafał Latała
DOI: 10.1090/tran/9637
Cited by: 0

Abstract

We discuss two-sided nonasymptotic bounds for the mean spectral norm of nonhomogenous weighted Rademacher matrices. We show that the recently formulated conjecture holds up to log ⁡ log ⁡ log ⁡ n \log \log \log n factor for arbitrary n × n n\times n Rademacher matrices and the triple logarithm may be eliminated for matrices with { 0 , 1 } \{0,1\} -coefficients.

Fields of Study & Subjects

Matrix Theory and Algorithms

Publication details

Journal / source
Transactions of the American Mathematical Society
Volume
379
Issue
10
Pages
7019–7039
Publication date
2 July 2026
Language
EN