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ERC Workshop on Optimal Transportation and Applications

Optimal Transportation with Capacity Constraints

speaker: Robert McCann (University of Toronto)

abstract: The classical problem of optimal transportation can be formulated as a linear optimization problem on a convex domain: among all joint measures with fixed marginals find the optimal one, where optimality is measured against a given cost function. Here we consider a variation of this problem by imposing an upper bound constraining the joint measures, namely: among all joint measures with fixed marginals and dominated by a fixed measure, find the optimal one. After computing some illustrative examples, we given conditions guaranteeing uniqueness of the optimizer and initiate a study of its properties. Based on joint work with Jonathan Korman.

timetable:
Mon 5 Nov, 11:30 - 12:20, Aula Dini
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