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brenier potentials 1john domains 1log-concave densities 1optimal transport 1stability analysis 1Wasserstein distance 1

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math.MG2025

Stability of optimal transport maps on Riemannian manifolds

Jun Kitagawa, Cyril Letrouit, Quentin Mérigot

We prove quantitative bounds on the stability of optimal transport maps and Kantorovich potentials from a fixed source measure under variations of the target measure , whe…