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arXiv · 1411.3836

Characterization of the tangent space of monotone transport plans in ${\R}\times{\R}$ with prescribed first projection

Marc Sedjro·Michael Westdickenberg
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Abstract

We provide a complete description of the tangent space of the cone of monotone plans in $\R\times \R$ with prescribed first projection. We show that elements of this tangent space are essentially made of two simple building-block types of measures.

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Marc Sedjro, Michael Westdickenberg. 2014-11-14. Characterization of the tangent space of monotone transport plans in ${\R}\times{\R}$ with prescribed first projection. https://arxiv.org/abs/1411.3836

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