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Cited article:

Kantorovich problem of optimal transportation of measures: new directions of research

Vladimir Igorevich Bogachev
Russian Mathematical Surveys 77 (5) 769 (2022)

Задача Канторовича оптимальной транспортировки мер: новые направления исследований

Vladimir Igorevich Bogachev
Успехи математических наук 77 (5(467)) 3 (2022)

Geometry of Kantorovich polytopes and support of optimizers for repulsive multi-marginal optimal transport on finite state spaces

Daniela Vögler
Journal of Mathematical Analysis and Applications 502 (1) 125147 (2021)

Multi-Marginal Optimal Transportation Problem for Cyclic Costs

Brendan W. Pass and Adolfo Vargas-Jiménez
SIAM Journal on Mathematical Analysis 53 (4) 4386 (2021)

A Simple Counterexample to the Monge Ansatz in Multimarginal Optimal Transport, Convex Geometry of the Set of Kantorovich Plans, and the Frenkel--Kontorova Model

Gero Friesecke
SIAM Journal on Mathematical Analysis 51 (6) 4332 (2019)

Breaking the Curse of Dimension in Multi-Marginal Kantorovich Optimal Transport on Finite State Spaces

Gero Friesecke and Daniela Vögler
SIAM Journal on Mathematical Analysis 50 (4) 3996 (2018)

Smoothing of Transport Plans with Fixed Marginals and Rigorous Semiclassical Limit of the Hohenberg–Kohn Functional

Codina Cotar, Gero Friesecke and Claudia Klüppelberg
Archive for Rational Mechanics and Analysis 228 (3) 891 (2018)

A class of multi-marginal c-cyclically monotone sets with explicit c-splitting potentials

Sedi Bartz, Heinz H. Bauschke and Xianfu Wang
Journal of Mathematical Analysis and Applications 461 (1) 333 (2018)