Nell'ambito delle iniziative del Seminario Matematico e Fisico di Milano
lunedì 6 maggio 2024, ore 16:30,
presso l'aula seminari MOX, sesto piano,
Dipartimento di Matematica del Politecnico di Milano,
si svolgerà il seguente seminario:
Abbas Moameni (Carleton University, Ottawa)
Stratified Monge-Kantorovich optimal transport problems, structure and the uniqueness of optimal transport plans
Abstract: 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.