A Note on the Gaussian Minimum Conjecture

Yang-Fan Zhong, Ting Ma, Ze-Chun Hu

Let $n\ge 2$ and $(X_i,1\le i\le n)$ be a centered Gaussian random vector. The Gaussian minimum conjecture says that $E\left(\min_{1\leq i\leq n}|X_i|\right)\geq E\left(\min_{1\…