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arxiv: 1305.2692 · v2 · pith:KJYD2TK2new · submitted 2013-05-13 · 🧮 math.AP

The Polar Cone of the set of monotone maps

classification 🧮 math.AP
keywords conemapsmonotonepolarclosedconvexdefinitedivergence
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We prove that every element of the polar cone to the closed convex cone of monotone transport maps can be represented as the divergence of a measure field taking values in the positive definite matrices.

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