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...
Main Author: | Ciosmak, K |
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Format: | Journal article |
Language: | English |
Published: |
Springer
2021
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