On optimal transport of matrix-valued measures

Yann Brenier (École Normale Supérieure, Paris)

03-Jun-2021, 15:30-16:30 (3 years ago)

Abstract: We suggest a way of defining optimal transport of positive-semidefinite matrix-valued measures, inspired by a recent rendering of the incompressible Euler equations and related conservative systems as concave maximization problems. The main output of our work is a matricial analogue of the Hellinger-Kantorovich metric spaces.

analysis of PDEs

Audience: researchers in the topic


Seminar In the Analysis and Methods of PDE (SIAM PDE)

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