{"title":"具有满边际约束的一维布伦尼尔定理的显式鞅形式","authors":"P. Henry-Labordère, Xiaolu Tan, N. Touzi","doi":"10.2139/ssrn.2335969","DOIUrl":null,"url":null,"abstract":"We provide an extension of the martingale version of the Frechet–Hoeffding coupling to the infinitely-many marginals constraints setting. In the two-marginal context, this extension was obtained by Beiglbock and Juillet (2016), and further developed by Henry-Labordere and Touzi (in press), see also Beiglbock and Henry-Labordere (Preprint).","PeriodicalId":378972,"journal":{"name":"ERN: Swaps & Forwards (Topic)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2014-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"46","resultStr":"{\"title\":\"An Explicit Martingale Version of the One-Dimensional Brenier's Theorem with Full Marginals Constraint\",\"authors\":\"P. Henry-Labordère, Xiaolu Tan, N. Touzi\",\"doi\":\"10.2139/ssrn.2335969\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We provide an extension of the martingale version of the Frechet–Hoeffding coupling to the infinitely-many marginals constraints setting. In the two-marginal context, this extension was obtained by Beiglbock and Juillet (2016), and further developed by Henry-Labordere and Touzi (in press), see also Beiglbock and Henry-Labordere (Preprint).\",\"PeriodicalId\":378972,\"journal\":{\"name\":\"ERN: Swaps & Forwards (Topic)\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2014-02-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"46\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ERN: Swaps & Forwards (Topic)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2139/ssrn.2335969\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"ERN: Swaps & Forwards (Topic)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2139/ssrn.2335969","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
An Explicit Martingale Version of the One-Dimensional Brenier's Theorem with Full Marginals Constraint
We provide an extension of the martingale version of the Frechet–Hoeffding coupling to the infinitely-many marginals constraints setting. In the two-marginal context, this extension was obtained by Beiglbock and Juillet (2016), and further developed by Henry-Labordere and Touzi (in press), see also Beiglbock and Henry-Labordere (Preprint).