It is proved that c-cyclical monotonicity is a sufficient condition for optimality in the multi-marginal optimal transport problem with Coulomb repulsive cost. The notion of c-splitting set and some mild regularity property are the tools. The result may be extended to Coulomb like costs.
On c -cyclical monotonicity for optimal transport problem with Coulomb cost / De Pascale L.. - In: EUROPEAN JOURNAL OF APPLIED MATHEMATICS. - ISSN 0956-7925. - ELETTRONICO. - 30:(2019), pp. 1210-1219. [10.1017/S0956792519000111]
On c -cyclical monotonicity for optimal transport problem with Coulomb cost
De Pascale L.
2019
Abstract
It is proved that c-cyclical monotonicity is a sufficient condition for optimality in the multi-marginal optimal transport problem with Coulomb repulsive cost. The notion of c-splitting set and some mild regularity property are the tools. The result may be extended to Coulomb like costs.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
CoulombCyclicREVISED.pdf
Accesso chiuso
Descrizione: Post-revision version
Tipologia:
Versione finale referata (Postprint, Accepted manuscript)
Licenza:
Tutti i diritti riservati
Dimensione
328.83 kB
Formato
Adobe PDF
|
328.83 kB | Adobe PDF | Richiedi una copia all'autore |
|
on-c-cyclical-monotonicity-for-optimal-transport-problem-with-coulomb-cost.pdf
Accesso chiuso
Tipologia:
Pdf editoriale (Version of record)
Licenza:
Tutti i diritti riservati
Dimensione
150.04 kB
Formato
Adobe PDF
|
150.04 kB | Adobe PDF | Richiedi una copia all'autore |
I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
