Pseudo-cones and measure transport
arXiv:2501.19263
Abstract
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 minimized by this transport map, and we prove an analogue of Rockafellar's characterization of the subdifferentials of convex functions.
7 pages; changes in the proof of Theorem 2