Synapse
⌘+K
Synapse
PulseExploreClubsResearchersJournals
Instagram
HomeClubsExplore
November 8, 2025Open Access

Spectral norm bound for the product of random Fourier-Walsh matrices

View Full Paper
Ask AI
Bookmark
Share

Authors

LZLiehuang ZhuDDDamek DavisDDDmitriy Drusvyatskiy

Discussion

Loading...

Member takes

Overview

Analysis reveals operator norm tends to zero in high-dimensional products of random Fourier-Walsh matrices, indicating polynomial scaling effects.

Key Points

  • The operator norm approaches zero as dimensions increase, highlighting a significant scaling behavior.
  • Analysis of matrix products demonstrates interesting properties of random Fourier-Walsh matrices in high dimensions.
  • Focused on products of normalized random Fourier-Walsh matrices, leading to key theoretical insights.
  • Implications suggest further exploration of scaling phenomena in random matrix theory and applications.

Cite This Study

Zhu et al. (2025) studied this question.

synapsesocial.com/papers/690e8b6ca5b062d7a4e73385https://doi.org/10.48550/arxiv.2504.03148
View Full Paper
Ask AI
Bookmark
Share

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Kronecker-product random matrices and a matrix least squares problem2024
  2. 2Joint spectral radius and forbidden products2024
  3. 3Sharper bounds for the numerical radius of $n \times n$ operator matrices II2024
  4. 4An Eigenvector Problem Arising in the Study of Convergence of Walsh–Fourier Series2026
  5. 5On the Fourier Coefficients of Powers of a Finite Blaschke Product2024