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<p>A recent result on the Gauss image problem for pseudo-cones can be interpreted as a measure transport, performed by the reverse radial Gauss map of a pseudo-cone. We find a cost function that is extremized by this transport map, and we prove an analogue of Rockafellar’s characterization of the subdifferentials of convex functions.</p>

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Pseudo-cones and measure transport

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年4月9日

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  • Rolf Schneider

摘要

A recent result on the Gauss image problem for pseudo-cones can be interpreted as a measure transport, performed by the reverse radial Gauss map of a pseudo-cone. We find a cost function that is extremized by this transport map, and we prove an analogue of Rockafellar’s characterization of the subdifferentials of convex functions.