2 papers
math.PR2026
Optimal Covariance Inflation under Gaussian Tilts
Minbo Gao, Zhengfeng Ji, Chenghua Liu
Covariance-sensitive analyses of Gaussian annealing for sampling from a convex body require controlling how much covariance can grow under a radial Gaussian tilt. For an isotropic…
math.DG2026
Curvature Sign Rigidity and Sharp Pointwise Pinching Thresholds
Minbo Gao, Yuhang Liu, Genyuan Zhang
We study connected Riemannian manifolds on which either the sectional curvature or the Ricci tensor is, at each point, strictly positive, strictly negative, or zero, and ask whethe…