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arXiv · 2405.13656

On the spectral norm of Rademacher matrices

Rafał Latała
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Abstract

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

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Rafał Latała. 2024-05-22. On the spectral norm of Rademacher matrices. https://arxiv.org/abs/2405.13656

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