{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,20]],"date-time":"2026-08-20T12:29:01Z","timestamp":1787228941324,"version":"build-2736575974"},"reference-count":11,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM Rev."],"published-print":{"date-parts":[[2025,5,31]]},"abstract":"<jats:p>Optimal transport was originally invented by Gaspard Monge [\u201cM\u00e9moire sur la th\u00e9orie des d\u00e9blais et des remblais,\u201d Mem. Math. Phys. Acad. Royale Sci., (1781), pp.\u00a0666\u2013704] to model the problem of optimally mapping one distribution of mass onto another. This was later reformulated by Leonid Kantorovich as a well-posed linear program using the notion of transport plans instead of maps in [\u201cOn the translocation of masses,\u201d Dokl. Akad. Nauk. USSR (N.S.), 37 (1942), pp.\u00a0199\u2013201], which earned him the Nobel Memorial Prize in Economic Sciences. In the past four decades the field of optimal transport has grown far beyond its original purpose and has evolved into a driving force for applications both within mathematics and in other sciences. This book review deals with the new monograph Optimal Mass Transport on Euclidean Spaces by Francesco Maggi.<\/jats:p>\n                  <jats:p\/>","DOI":"10.1137\/24m1637854","type":"journal-article","created":{"date-parts":[[2025,5,8]],"date-time":"2025-05-08T03:36:49Z","timestamp":1746675409000},"page":"408-411","source":"Crossref","is-referenced-by-count":0,"title":["<b>Book Review:<\/b>\n                    Optimal Mass Transport on Euclidean Spaces"],"prefix":"10.1137","volume":"67","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6554-9892","authenticated-orcid":true,"given":"Leon","family":"Bungert","sequence":"first","affiliation":[{"name":"University of W\u00fcrzburg"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2025,5,8]]},"reference":[{"key":"ref1","volume-title":"Gradient Flows: In Metric Spaces and in the Space of Probability Measures","author":"Ambrosio L.","year":"2008"},{"key":"ref2","unstructured":"M. Arjovsky, S. Chintala, and L. Bottou, Wasserstein generative adversarial networks, in International Conference on Machine Learning, PMLR, 2017, pp. 214\u2013223."},{"key":"ref3","doi-asserted-by":"crossref","unstructured":"S. Chewi, J. Niles-Weed, and P. Rigollet, Statistical Optimal Transport, https:\/\/arxiv.org\/abs\/2407.18163, 2024.","DOI":"10.1007\/978-3-031-85160-5"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1007\/s00222-010-0261-z"},{"key":"ref5","first-page":"199","volume":"37","author":"Kantorovich L. V.","year":"1942","journal-title":"Dokl. Akad. Nauk. USSR (N.S.)"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781139108133"},{"key":"ref7","first-page":"666","author":"Monge G.","year":"1781","journal-title":"Mem. Math. Phys. Acad. Roy. Sci."},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1561\/2200000073"},{"key":"ref9","doi-asserted-by":"crossref","unstructured":"F. Santambrogio, Optimal Transport for Applied Mathematicians, Birkh\u00e4user, Cham, 2015.","DOI":"10.1007\/978-3-319-20828-2"},{"key":"ref10","series-title":"Grad.\u00a0Stud.\u00a0Math. 58","volume-title":"Topics in Optimal Transportation","author":"Villani C.","year":"2021"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-71050-9"}],"container-title":["SIAM Review"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/24M1637854","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,20]],"date-time":"2026-08-20T12:09:34Z","timestamp":1787227774000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/24M1637854"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,5,8]]},"references-count":11,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2025,5,31]]}},"alternative-id":["10.1137\/24M1637854"],"URL":"https:\/\/doi.org\/10.1137\/24m1637854","relation":{},"ISSN":["0036-1445","1095-7200"],"issn-type":[{"value":"0036-1445","type":"print"},{"value":"1095-7200","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,5,8]]}}}