Multi-marginal entropy-transport with repulsive cost
| dc.contributor.author | Gerolin, Augusto | |
| dc.contributor.author | Kausamo, Anna | |
| dc.contributor.author | Rajala, Tapio | |
| dc.date.accessioned | 2020-04-28T09:42:44Z | |
| dc.date.available | 2020-04-28T09:42:44Z | |
| dc.date.issued | 2020 | |
| dc.identifier.citation | Gerolin, A., Kausamo, A., & Rajala, T. (2020). Multi-marginal entropy-transport with repulsive cost. <i>Calculus of Variations and Partial Differential Equations</i>, <i>59</i>(3), Article 90. <a href="https://doi.org/10.1007/s00526-020-01735-3" target="_blank">https://doi.org/10.1007/s00526-020-01735-3</a> | |
| dc.identifier.other | CONVID_35298830 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/68738 | |
| dc.description.abstract | In this paper we study theoretical properties of the entropy-transport functional with repulsive cost functions. We provide sufficient conditions for the existence of a minimizer in a class of metric spaces and prove the Γ-convergence of the entropy-transport functional to a multi-marginal optimal transport problem with a repulsive cost. We point out that our construction can deal with the case when the space X is a domain in Rd, answering a question raised in Benamou et al. (Numer Math 142:33–54, 2019). Finally, we also prove the entropy-regularized version of the Kantorovich duality. | en |
| dc.format.mimetype | application/pdf | |
| dc.language | eng | |
| dc.language.iso | eng | |
| dc.publisher | Springer | |
| dc.relation.ispartofseries | Calculus of Variations and Partial Differential Equations | |
| dc.rights | CC BY 4.0 | |
| dc.title | Multi-marginal entropy-transport with repulsive cost | |
| dc.type | article | |
| dc.identifier.urn | URN:NBN:fi:jyu-202004282942 | |
| dc.contributor.laitos | Matematiikan ja tilastotieteen laitos | fi |
| dc.contributor.laitos | Department of Mathematics and Statistics | en |
| dc.contributor.oppiaine | Matematiikka | fi |
| dc.contributor.oppiaine | Analyysin ja dynamiikan tutkimuksen huippuyksikkö | fi |
| dc.contributor.oppiaine | Mathematics | en |
| dc.contributor.oppiaine | Analysis and Dynamics Research (Centre of Excellence) | 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.relation.issn | 0944-2669 | |
| dc.relation.numberinseries | 3 | |
| dc.relation.volume | 59 | |
| dc.type.version | publishedVersion | |
| dc.rights.copyright | © The Authors 2020 | |
| dc.rights.accesslevel | openAccess | fi |
| dc.relation.grantnumber | 312488 | |
| dc.relation.grantnumber | 284511 | |
| dc.relation.grantnumber | 274372 | |
| dc.relation.grantnumber | 314789 | |
| dc.subject.yso | matemaattinen optimointi | |
| dc.subject.yso | osittaisdifferentiaaliyhtälöt | |
| dc.format.content | fulltext | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p17635 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p12392 | |
| dc.rights.url | https://creativecommons.org/licenses/by/4.0/ | |
| dc.relation.doi | 10.1007/s00526-020-01735-3 | |
| dc.relation.funder | Research Council of Finland | en |
| dc.relation.funder | Research Council of Finland | en |
| dc.relation.funder | Research Council of Finland | en |
| dc.relation.funder | Research Council of Finland | en |
| dc.relation.funder | Suomen Akatemia | fi |
| dc.relation.funder | Suomen Akatemia | fi |
| dc.relation.funder | Suomen Akatemia | fi |
| dc.relation.funder | Suomen Akatemia | fi |
| jyx.fundingprogram | Research costs of Academy Research Fellow, AoF | en |
| jyx.fundingprogram | Research costs of Academy Research Fellow, AoF | en |
| jyx.fundingprogram | Academy Research Fellow, AoF | en |
| jyx.fundingprogram | Academy Project, AoF | en |
| jyx.fundingprogram | Akatemiatutkijan tutkimuskulut, SA | fi |
| jyx.fundingprogram | Akatemiatutkijan tutkimuskulut, SA | fi |
| jyx.fundingprogram | Akatemiatutkija, SA | fi |
| jyx.fundingprogram | Akatemiahanke, SA | fi |
| jyx.fundinginformation | The authors acknowledge the support of the Academy of Finland, Projects Nos. 274372, 284511, 312488, and 314789. A.G. also acknowledges funding by the European Research Council under H2020/MSCA-IF “OTmeetsDFT” (Grant ID: 795942). A.K. also wants to thank the Vilho, Yrjö and Kalle Väisälä Foundation for funding. | |
| dc.type.okm | A1 |
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