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On the structure of optimal plans not concentrating on a single map, and the uniqueness of optimal transport plans.

Seminário do GFM
FCUL, C6, room 6.2.33
2023-05-02 10:30 .. 11:30
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by Abbas Momeni (School of Mathematics and Statistics, Carleton Univ.)

We shall introduce the notion of m-twist condition for the optimal transportation problems. This notion together with Kantorovich duality provide an effective tool to study and describe the support of optimal plans for the mass transport problem involving general cost functions. We also establish a criterion for the uniqueness.

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