{"title":"Clark representation formula for the solution to equation with interaction","authors":"Jasmina DJordjevi'c, A. Dorogovtsev","doi":"10.37863/tsp-5223424922-78","DOIUrl":null,"url":null,"abstract":"\nIn this paper an analogue of the Clark-Ocone representation for solution to measure-valued equation with interaction is studied. It is proved that the integrand is absolutely continuous with respect to Lebesgue measure.\n","PeriodicalId":38143,"journal":{"name":"Theory of Stochastic Processes","volume":"74 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Theory of Stochastic Processes","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37863/tsp-5223424922-78","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 4
Abstract
In this paper an analogue of the Clark-Ocone representation for solution to measure-valued equation with interaction is studied. It is proved that the integrand is absolutely continuous with respect to Lebesgue measure.