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Optimal transport of vector measures

We develop and study a theory of optimal transport for vector measures. We resolve in the negative a conjecture of Klartag, that given a vector measure on Euclidean space with total mass zero, the mass of any transport set is again zero. We provide a counterexample to the conjecture. We generalise t...

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Detalles Bibliográficos
Autor principal: Ciosmak, Krzysztof J.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8545735/
https://www.ncbi.nlm.nih.gov/pubmed/34720446
http://dx.doi.org/10.1007/s00526-021-02095-2