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
Actions
Access Document
- Files:
-
-
(Accepted manuscript, pdf, 297.1KB)
-
- Publisher copy:
- 10.1142/s0219199717500079
Why is the content I wish to access not available via ORA?
Bibliographic data (the information relating to research outputs) and full-text items (e.g. articles, theses, reports, etc.) arrive in ORA from several different sources. Unfortunately we are not able to make available the full-text for every research output.
Please contact the ORA team (
) if you have queries regarding unavailable content OR if you are aware of a full-text copy we can make available.
) if you have queries regarding unavailable content OR if you are aware of a full-text copy we can make available.
Content may be unavailable for the following four reasons
-
Version unsuitable
-
We have not obtained a suitable full-text for a given research output. See this page for more information.
-
Recently completed
-
Sometimes content is held in ORA but is unavailable for a fixed period of time to comply with the policies and wishes of rights holders.
-
Permissions
-
All content made available in ORA should comply with relevant rights, such as copyright. See this page for more information.
-
Clearance
-
Some thesis volumes scanned as part of the digitisation scheme funded by Dr Leonard Polonsky are currently unavailable due to sensitive material or uncleared third-party copyright content. We are attempting to contact authors whose theses are affected.
Alternative access to the full-text
You may be able to access the full-text directly from the publisher's website using the 'Publisher Copy' link in the 'Links & Downloads' box from a research output's ORA record page. This method may require an institutional or individual subscription to the journal/resource.
Authors
Bibliographic Details
- Publisher:
- World Scientific Publishing Publisher's website
- Journal:
- Communications in Contemporary Mathematics Journal website
- Volume:
- 19
- Issue:
- 6
- Article number:
- 1750007
- Publication date:
- 2017-02-09
- Acceptance date:
- 2016-10-17
- DOI:
- EISSN:
-
1793-6683
- ISSN:
-
0219-1997
- Source identifiers:
-
1061593
Item Description
- Language:
- English
- Keywords:
- Pubs id:
-
pubs:1061593
- UUID:
-
uuid:35e3ec4a-1de2-4114-aea7-20d19b1beee2
- Local pid:
- pubs: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
If you are the owner of this record, you can report an update to it here: Report update to this record