Existence of optimal transport maps for crystalline norms
We show the existence of optimal transport maps in the case when the cost function is the distance induced by a crystalline norm in ℝn, assuming that the initial distribution of mass is absolutely continuous with respect to ℒn. The proof is based on a careful decomposition of the space in transport...
| Auteurs principaux: | , , |
|---|---|
| Format: | Journal article |
| Langue: | English |
| Publié: |
2004
|