Monotone maps preserving periodic measures

Authors
Cordero-Erausquin, D
Citation
D. Cordero-erausquin, Monotone maps preserving periodic measures, CR AC S I, 329(3), 1999, pp. 199-202
Citations number
10
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
329
Issue
3
Year of publication
1999
Pages
199 - 202
Database
ISI
SICI code
0764-4442(19990801)329:3<199:MMPPM>2.0.ZU;2-3
Abstract
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) Aca demie des Sciences/Elsevier, Paris.