{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,14]],"date-time":"2025-05-14T02:27:01Z","timestamp":1747189621913,"version":"3.40.5"},"reference-count":32,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"6","funder":[{"DOI":"10.13039\/100009515","name":"Fondation Simone et Cino Del Duca","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100009515","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100010663","name":"H2020 European Research Council","doi-asserted-by":"publisher","award":["741467"],"award-info":[{"award-number":["741467"]}],"id":[{"id":"10.13039\/100010663","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001665","name":"Agence Nationale de la Recherche","doi-asserted-by":"publisher","award":["ANR-11-LABEX-0047"],"award-info":[{"award-number":["ANR-11-LABEX-0047"]}],"id":[{"id":"10.13039\/501100001665","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Math. Anal."],"published-print":{"date-parts":[[2023,12,31]]},"DOI":"10.1137\/22m1501301","type":"journal-article","created":{"date-parts":[[2023,11,1]],"date-time":"2023-11-01T10:45:32Z","timestamp":1698835532000},"page":"6039-6092","source":"Crossref","is-referenced-by-count":2,"title":["Weak Optimal Transport with Unnormalized Kernels"],"prefix":"10.1137","volume":"55","author":[{"given":"Philippe","family":"Chon\u00e9","sequence":"first","affiliation":[{"name":"CREST-ENSAE, Institut Polytechnique de Paris, Paris, France."}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1464-3352","authenticated-orcid":true,"given":"Nathael","family":"Gozlan","sequence":"additional","affiliation":[{"name":"Universit\u00e9 Paris Cit\u00e9, CNRS, MAP5, F-75006 Paris, France."}]},{"given":"Francis","family":"Kramarz","sequence":"additional","affiliation":[{"name":"CREST-ENSAE, Institut Polytechnique de Paris, Paris, France and Department of Economics, Uppsala University, Uppsala, Sweden."}]}],"member":"351","published-online":{"date-parts":[[2023,11,1]]},"reference":[{"key":"ref1","doi-asserted-by":"crossref","first-page":"1706","DOI":"10.1214\/19-AIHP1014","volume":"56","author":"Alfonsi A.","year":"2020","journal-title":"Ann. Inst. Henri Poincar\u00e9 Probab. Stat."},{"doi-asserted-by":"publisher","key":"ref2","DOI":"10.1017\/S0956792518000669"},{"key":"ref3","series-title":"Oxford Math. Monogr.","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198502456.001.0001","volume-title":"Functions of Bounded Variation and Free Discontinuity Problems","author":"Ambrosio L.","year":"2000"},{"doi-asserted-by":"publisher","key":"ref4","DOI":"10.1007\/s00526-019-1624-y"},{"doi-asserted-by":"publisher","key":"ref5","DOI":"10.1214\/20-ECP292"},{"doi-asserted-by":"publisher","key":"ref6","DOI":"10.3150\/21-BEJ1346"},{"doi-asserted-by":"publisher","key":"ref7","DOI":"10.1214\/21-AAP1694"},{"doi-asserted-by":"publisher","key":"ref8","DOI":"10.1007\/s00780-013-0205-8"},{"doi-asserted-by":"publisher","key":"ref9","DOI":"10.1214\/14-AOP966"},{"doi-asserted-by":"publisher","key":"ref10","DOI":"10.1137\/141000439"},{"key":"ref11","first-page":"805","volume":"305","author":"Brenier Y.","year":"1987","journal-title":"C. R. Acad. Sci. Paris S\u00e9r. I Math."},{"doi-asserted-by":"publisher","key":"ref12","DOI":"10.1002\/cpa.3160440402"},{"doi-asserted-by":"publisher","key":"ref13","DOI":"10.1007\/s002200000257"},{"doi-asserted-by":"publisher","key":"ref17","DOI":"10.1007\/s00526-020-01754-0"},{"doi-asserted-by":"publisher","key":"ref18","DOI":"10.23943\/princeton\/9780691172767.001.0001"},{"doi-asserted-by":"publisher","key":"ref19","DOI":"10.1214\/13-AAP925"},{"doi-asserted-by":"publisher","key":"ref20","DOI":"10.1112\/plms.12302"},{"key":"ref21","first-page":"635","volume":"16","author":"Gozlan N.","year":"2010","journal-title":"Markov Process. Related Fields"},{"doi-asserted-by":"publisher","key":"ref22","DOI":"10.1214\/17-AIHP851"},{"doi-asserted-by":"publisher","key":"ref23","DOI":"10.1016\/j.jfa.2017.08.015"},{"doi-asserted-by":"publisher","key":"ref24","DOI":"10.1007\/978-3-642-56468-0"},{"key":"ref26","series-title":"Math. Surveys Monogr. 89","volume-title":"The Concentration of Measure Phenomenon","author":"Ledoux M.","year":"2001"},{"doi-asserted-by":"publisher","key":"ref27","DOI":"10.3934\/dcds.2014.34.1533"},{"doi-asserted-by":"publisher","key":"ref28","DOI":"10.4007\/annals.2009.169.903"},{"doi-asserted-by":"publisher","key":"ref29","DOI":"10.1214\/aop\/1039639365"},{"doi-asserted-by":"publisher","key":"ref30","DOI":"10.1007\/BF02249263"},{"doi-asserted-by":"publisher","key":"ref31","DOI":"10.1561\/9781680835519"},{"doi-asserted-by":"publisher","key":"ref32","DOI":"10.1515\/9781400873173"},{"doi-asserted-by":"publisher","key":"ref33","DOI":"10.1214\/aoms\/1177700153"},{"doi-asserted-by":"publisher","key":"ref34","DOI":"10.1090\/gsm\/058"},{"doi-asserted-by":"publisher","key":"ref35","DOI":"10.1007\/978-3-540-71050-9"},{"doi-asserted-by":"publisher","key":"ref36","DOI":"10.1142\/5021"}],"container-title":["SIAM Journal on Mathematical Analysis"],"original-title":[],"language":"en","deposited":{"date-parts":[[2023,12,21]],"date-time":"2023-12-21T21:42:04Z","timestamp":1703194924000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/22M1501301"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,11,1]]},"references-count":32,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2023,12,31]]}},"alternative-id":["10.1137\/22M1501301"],"URL":"https:\/\/doi.org\/10.1137\/22m1501301","relation":{},"ISSN":["0036-1410","1095-7154"],"issn-type":[{"type":"print","value":"0036-1410"},{"type":"electronic","value":"1095-7154"}],"subject":[],"published":{"date-parts":[[2023,11,1]]}}}