We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Optimal maps in essentially non-branching spaces.
- Authors
Cavalletti, Fabio; Mondino, Andrea
- Abstract
In this paper we prove that in a metric measure space verifying the measure contraction property with parameters and , any optimal transference plan between two marginal measures is induced by an optimal map, provided the first marginal is absolutely continuous with respect to and the space itself is essentially non-branching. In particular this shows that there exists a unique transport plan and it is induced by a map.
- Subjects
CARTOGRAPHIC materials; MAP collections; CATALOGING of maps; NONBOOK materials; CARTOGRAPHERS
- Publication
Communications in Contemporary Mathematics, 2017, Vol 19, Issue 6, p-1
- ISSN
0219-1997
- Publication type
Article
- DOI
10.1142/S0219199717500079