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Existence and stability results in theL1 theory of optimal trans- portation

Luigi Ambrosio, Aldo Pratelli · 2003 · DOI 10.1007/978-3-540-44857-0_5

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Instability of the ray-monotone selector for $W_1$-optimal transport

math.AP · 2026-04-16 · unverdicted · novelty 7.0

A counterexample demonstrates the instability of the ray-monotone W1-optimal plan selector under weak convergence of absolutely continuous marginals, with additional results on Kuratowski limits and constrained Gamma-limits.

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  • Instability of the ray-monotone selector for $W_1$-optimal transport math.AP · 2026-04-16 · unverdicted · none · ref 1

    A counterexample demonstrates the instability of the ray-monotone W1-optimal plan selector under weak convergence of absolutely continuous marginals, with additional results on Kuratowski limits and constrained Gamma-limits.