Brief communications

On the equivalence of optimal transport problem and action matching with optimal vector fields

N. M. Kornilov^ab, A. A. Korotin<sup>ac

a</sup> Skolkovo Institute of Science and Technology
^b Moscow Institute of Physics and Technology
^c Artificial Intelligence Research Institute

MSC: 35Q49, 49J55

Received: 24.07.2025
Presented: V. V. Kozlov
Accepted: 25.09.2025

DOI: 10.4213/rm10264

 English version: Russian Mathematical Surveys, 2025, 80:5, 925–927

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