Journal article
Optimal maps in essentially non-branching spaces
- Abstract:
- In this paper we prove that in a metric measure space [Formula: see text] verifying the measure contraction property with parameters [Formula: see text] and [Formula: see text], any optimal transference plan between two marginal measures is induced by an optimal map, provided the first marginal is absolutely continuous with respect to [Formula: see text] 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.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Accepted manuscript, pdf, 297.1KB, Terms of use)
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- Publisher copy:
- 10.1142/s0219199717500079
Authors
- Publisher:
- World Scientific Publishing
- Journal:
- Communications in Contemporary Mathematics More from this journal
- Volume:
- 19
- Issue:
- 6
- Article number:
- 1750007
- Publication date:
- 2017-02-09
- Acceptance date:
- 2016-10-17
- DOI:
- EISSN:
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1793-6683
- ISSN:
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0219-1997
- Language:
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English
- Keywords:
- Pubs id:
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pubs:1061593
- UUID:
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uuid:35e3ec4a-1de2-4114-aea7-20d19b1beee2
- Local pid:
-
pubs:1061593
- Source identifiers:
-
1061593
- Deposit date:
-
2019-10-11
Terms of use
- Copyright date:
- 2017
- Notes:
- This is an author version of the article. The final version is available online from the publisher's website
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