{"title":"The Spread of Branching Diffusion under Stabilizing Drift","authors":"O. Korosteleva","doi":"10.1080/1045112042000221438","DOIUrl":null,"url":null,"abstract":"A one-dimensional branching diffusion with a stabilizing drift is considered. We prove a theorem on the in-probability asymptotic behaviour of R t , the right frontier of the process over a time interval [0, t].","PeriodicalId":289792,"journal":{"name":"Stochastics and Stochastic Reports","volume":"2015 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2004-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Stochastics and Stochastic Reports","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/1045112042000221438","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
A one-dimensional branching diffusion with a stabilizing drift is considered. We prove a theorem on the in-probability asymptotic behaviour of R t , the right frontier of the process over a time interval [0, t].