This note describes some recent results on the regularity of optimal transport maps. As we shall see, in general optimal maps are not globally smooth, but they are so outside a “singular set” of measure zero.
Partial regularity results in optimal transportation / De Philippis, G.; Figalli, A.. - 8:(2014), pp. 293-307. [10.1007/978-3-319-05254-0_21]
Partial regularity results in optimal transportation
De Philippis, G.
;
2014-01-01
Abstract
This note describes some recent results on the regularity of optimal transport maps. As we shall see, in general optimal maps are not globally smooth, but they are so outside a “singular set” of measure zero.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
2014_Partial regularity results in optimal transportation.pdf
non disponibili
Tipologia:
Versione Editoriale (PDF)
Licenza:
Non specificato
Dimensione
234.01 kB
Formato
Adobe PDF
|
234.01 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
