On the concentration of Gaussian Cayley matrices
Functional Analysis
2022-12-02 v1 Probability
Abstract
Given a finite group, we study the Gaussian series of the matrices in the image of its left regular representation. We propose such random matrices as a benchmark for improvements to the noncommutative Khintchine inequality, and we highlight an application to the matrix Spencer conjecture.
Keywords
Cite
@article{arxiv.2212.00066,
title = {On the concentration of Gaussian Cayley matrices},
author = {Afonso S. Bandeira and Dmitriy Kunisky and Dustin G. Mixon and Xinmeng Zeng},
journal= {arXiv preprint arXiv:2212.00066},
year = {2022}
}