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.
Unstable optimal transport maps.https://arxiv.org/abs/2510.13265
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AP 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Instability of the ray-monotone selector for $W_1$-optimal transport
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.