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math.FA2021
Matrix Hölder's inequality and divergence formulation of optimal transport of vector measures
Krzysztof J. Ciosmak
We characterise equality cases in matrix Hölder's inequality and develop a divergence formulation of optimal transport of vector measures. As an application, we reprove the represe…
math.FA2021
Optimal transport of vector measures
Krzysztof J. Ciosmak
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 tota…
math.MG2021
Leaves decompositions in Euclidean spaces
Krzysztof J. Ciosmak
We partly extend the localisation technique from convex geometry to the multiple constraints setting. For a given -Lipschitz map , ,…