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arXiv · 2212.00066

On the concentration of Gaussian Cayley matrices

Afonso S. Bandeira·Dmitriy Kunisky·Dustin G. Mixon·Xinmeng Zeng
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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.

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Afonso S. Bandeira, Dmitriy Kunisky, Dustin G. Mixon, Xinmeng Zeng. 2022-11-30. On the concentration of Gaussian Cayley matrices. https://arxiv.org/abs/2212.00066

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