{"title":"Gaussian fluctuation for spatial average of super-Brownian motion","authors":"Zenghu Li, Fei Pu","doi":"10.1080/07362994.2022.2079530","DOIUrl":null,"url":null,"abstract":"Abstract Let be the density of one-dimensional super-Brownian motion starting from Lebesgue measure. Using the Laplace functional of super-Brownian motion, we prove that as the normalized spatial integral converges jointly in (t, x) to Brownian sheet in distribution.","PeriodicalId":49474,"journal":{"name":"Stochastic Analysis and Applications","volume":"41 1","pages":"752 - 769"},"PeriodicalIF":0.8000,"publicationDate":"2021-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Stochastic Analysis and Applications","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/07362994.2022.2079530","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 3
Abstract
Abstract Let be the density of one-dimensional super-Brownian motion starting from Lebesgue measure. Using the Laplace functional of super-Brownian motion, we prove that as the normalized spatial integral converges jointly in (t, x) to Brownian sheet in distribution.
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