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...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
2004
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