BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Optimal transport between unequal dimensions Pass, Brendan


I will discuss joint work with Robert McCann on the optimal transport problem between densities supported on manifolds with different dimensions. We show that the problem is equivalent to a non-local analog of the Monge-Ampere equation. We also show that, under certain topological conditions, the solution is smooth if and only if a local variant of the equation admits a smooth, uniformly elliptic solution.

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