Abhijeet Mulgund

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math.PR2026

Stochastic Domination of Gaussian Maxima by the Regular Simplex

Abhijeet Mulgund

Let $n \geq 2$ , and let $X = (X_{1}, \dots, X_{n})$ be a centered Gaussian vector with $Var (X_{i}) = 1$ for every $i$ . Let $Z_{1}, \dots, Z_{n}$ be independent standard Gaussians, and put $\…

math.PR2026

Stochastic Domination of Gaussian Maxima: A Resolution of the Weak Simplex Conjecture

Abhijeet Mulgund

Let $R$ be an $m \times m$ correlation matrix satisfying $R - 1 1^{T} / m ⪰ 0$ , let $X \sim N (0, R)$ , and let $Z_{1}, \dots, Z_{m}$ be independent standar…