Establishes two-mode stability for multi-marginal OT maps with barycentric quadratic cost, yielding 1/4-Hölder estimates for general perturbations and 1/2-Hölder for barycenter-preserving ones, with optimality proofs.
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Two-mode stability for multi-marginal optimal transport maps
Establishes two-mode stability for multi-marginal OT maps with barycentric quadratic cost, yielding 1/4-Hölder estimates for general perturbations and 1/2-Hölder for barycenter-preserving ones, with optimality proofs.