Sharp Normalized Covariance Bounds and Constant-Stretch Correlated Sampling on the Hypersimplex

Tommaso Cesari, Roberto Colomboni

We establish the normalized covariance bound conjectured by Anari et al. (2026, Conjecture 3) for fixed-rank external-field measures. Let $d\ge 2$ and $m\in [d-1]$. For $w\in(0,+\inf…