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6 Maggio, 2024 16:30
Seminario Matematico e Fisico di Milano

Stratified Monge-Kantorovich optimal transport problems, structure and the uniqueness of optimal transport plans.

Abbas Moameni, Carleton University, Ottawa
Aula seminari MOX, sesto piano, Dipartimento di Matematica, Politecnico di Milano

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 of optimal plans not necessarily induced by a single map.