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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Bibliographic Details
Main Author: Ciosmak, K
Format: Journal article
Language:English
Published: Springer 2021