Abstract: We will present a variant of the optimal transport problem where elementary mass transports are penalized through their barycenters. After recalling some general duality results obtained in collaboration with P-M Samson, C. Roberto, Y. Shu and P. Tetali, we will present a recent result with N. Juillet describing optimal transport plans for the quadratic barycentric cost. If time permits, we will also recall how these transport costs are naturally connected to concentration of measure phenomenon and functional inequalities for convex functions.
Optimal transport for barycentric transport costs
24.01.2019 16:30 - 18:00
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