Accepted Paper
Inserted: 25 sep 2012
Last Updated: 16 jul 2014
Journal: Publ. Math. Inst. Hautes Études Sci.
Year: 2014
Abstract:
We prove that, for general cost functions on $\mathbb R^n$, or for the cost $d^2/2$ on a Riemannian manifold, optimal transport maps between smooth densities are always smooth outside a closed singular set of measure zero.
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