Pseudo-cones and measure transport
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866913749166718976 |
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| author | Schneider, Rolf |
| author_facet | Schneider, Rolf |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_19263 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Pseudo-cones and measure transport Schneider, Rolf Metric Geometry 52A20 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. |
| title | Pseudo-cones and measure transport |
| topic | Metric Geometry 52A20 |
| url | https://arxiv.org/abs/2501.19263 |