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- W4289693918 abstract "We suggest a new way of defining optimal transport of positive-semidefinite matrix-valued measures. It is inspired by a recent rendering of the incompressible Euler equations and related conservative systems as concave maximization problems. The main object of our attention is the Kantorovich-Bures metric space, which is a matricial analogue of the Wasserstein and Hellinger-Kantorovich metric spaces. We establish some topological, metric and geometric properties of this space, which includes the existence of the optimal transportation path." @default.
- W4289693918 created "2022-08-04" @default.
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- W4289693918 date "2019-12-02" @default.
- W4289693918 modified "2023-10-16" @default.
- W4289693918 title "ON OPTIMAL TRANSPORT OF MATRIX-VALUED MEASURES" @default.
- W4289693918 hasPublicationYear "2019" @default.
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