Optimal transport maps on Alexandrov spaces revisited
| dc.contributor.author | Rajala, Tapio | |
| dc.contributor.author | Schultz, Timo | |
| dc.date.accessioned | 2021-08-23T11:32:18Z | |
| dc.date.available | 2021-08-23T11:32:18Z | |
| dc.date.issued | 2022 | |
| dc.identifier.citation | Rajala, T., & Schultz, T. (2022). Optimal transport maps on Alexandrov spaces revisited. <i>Manuscripta Mathematica</i>, <i>169</i>(1-2), 1-18. <a href="https://doi.org/10.1007/s00229-021-01333-3" target="_blank">https://doi.org/10.1007/s00229-021-01333-3</a> | |
| dc.identifier.other | CONVID_100240117 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/77448 | |
| dc.description.abstract | We give an alternative proof for the fact that in n-dimensional Alexandrov spaces with curvature bounded below there exists a unique optimal transport plan from any purely (n−1)-unrectifiable starting measure, and that this plan is induced by an optimal map. Our proof does not rely on the full optimality of a given plan but rather on the c-monotonicity, thus we obtain the existence of transport maps for wider class of (possibly non-optimal) transport plans. | en |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | eng | |
| dc.publisher | Springer Science and Business Media LLC | |
| dc.relation.ispartofseries | Manuscripta Mathematica | |
| dc.rights | CC BY 4.0 | |
| dc.subject.other | Alexandrov-avaruudet | |
| dc.subject.other | massasiirto | |
| dc.subject.other | Alexandrov spaces | |
| dc.subject.other | mass transportation | |
| dc.title | Optimal transport maps on Alexandrov spaces revisited | |
| dc.type | research article | |
| dc.identifier.urn | URN:NBN:fi:jyu-202108234613 | |
| dc.contributor.laitos | Matematiikan ja tilastotieteen laitos | fi |
| dc.contributor.laitos | Department of Mathematics and Statistics | en |
| dc.contributor.oppiaine | Analyysin ja dynamiikan tutkimuksen huippuyksikkö | fi |
| dc.contributor.oppiaine | Matematiikka | fi |
| dc.contributor.oppiaine | Analysis and Dynamics Research (Centre of Excellence) | en |
| dc.contributor.oppiaine | Mathematics | en |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | |
| dc.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | |
| dc.description.reviewstatus | peerReviewed | |
| dc.format.pagerange | 1-18 | |
| dc.relation.issn | 0025-2611 | |
| dc.relation.numberinseries | 1-2 | |
| dc.relation.volume | 169 | |
| dc.type.version | publishedVersion | |
| dc.rights.copyright | © 2021 the Authors | |
| dc.rights.accesslevel | openAccess | fi |
| dc.type.publication | article | |
| dc.subject.yso | optimaalisuus | |
| dc.format.content | fulltext | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p21862 | |
| dc.rights.url | https://creativecommons.org/licenses/by/4.0/ | |
| dc.relation.doi | 10.1007/s00229-021-01333-3 | |
| jyx.fundinginformation | Open access funding provided by University of Jyväskylä (JYU). | |
| dc.type.okm | A1 |
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