Monotone maps preserving periodic measures
Cordero-Erausquin, Dario
HAL, hal-00693880 / Harvested from HAL
Text on HAL
Following the method of McCann [8], we shaw that given two (regular enough) periodic measures mu and nu on R-d, there exists a monotone function (ie: the gradient of a convex function) which pushes-forward mu onto nu. (C) Academie des Sciences/Elsevier, Paris.
Publié le : 1999-07-05
Classification:  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph] 
@article{hal-00693880,
     author = {Cordero-Erausquin, Dario},
     title = {Monotone maps preserving periodic measures},
     journal = {HAL},
     volume = {1999},
     number = {0},
     year = {1999},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/hal-00693880}
}

Cordero-Erausquin, Dario. Monotone maps preserving periodic measures. HAL, Tome 1999 (1999) no. 0, . http://gdmltest.u-ga.fr/item/hal-00693880/