论文标题

在高斯凯利矩阵的浓度上

On the concentration of Gaussian Cayley matrices

论文作者

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

论文摘要

鉴于有限的组,我们以左代表的形象研究了高斯矩阵系列。我们提出这样的随机矩阵,作为改进非交通性khintchine不平等的基准,我们突出显示了矩阵Spencer猜想的应用。

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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