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math.PR2026
Failure of ambient closed-set large-deviation upper bounds in entropic optimal transport
Maja Gwozdz
Large-deviation upper bounds on compact sets do not, in general, extend to arbitrary closed sets without additional tightness. We show that this obstruction already occurs in stati…
math.PR2026
Green--Wasserstein Inequality on Compact Surfaces
Maja Gwozdz
Let be a compact connected two-dimensional Riemannian manifold without boundary. In this note, we answer a question posed by Steinerberger: can one remove the $\sqrt{\log n…