Multimarginal optimal transport and structure of optimal plans: examples and counterexamples on SGS conjecture

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Date(s) - 21/09/2017
14 h 00 min - 15 h 00 min


We will introduce the multimarginal optimal transport problem in its generality and discuss the structure of optimal plans in the 1d repulsive case, in which there exists a full characterization that shows SGS conjecture is true. Then we will move to the radial case, where only partial results are available, both on the positive and negative side for the SGS conjecture.

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