{"title":"First-passage time distribution of a Brownian motion: two unexpected journeys","authors":"Alain Mazzolo","doi":"10.1080/07362994.2024.2378327","DOIUrl":null,"url":null,"abstract":"The distribution of the first-passage time (FPT) Ta for a Brownian particle with drift μ subject to hitting an absorber at a level a > 0 is well-known and given by its density γ(t)=a2πt3e−(a−μt)22t...","PeriodicalId":49474,"journal":{"name":"Stochastic Analysis and Applications","volume":"12 1","pages":""},"PeriodicalIF":0.8000,"publicationDate":"2024-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Stochastic Analysis and Applications","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/07362994.2024.2378327","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
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Abstract
The distribution of the first-passage time (FPT) Ta for a Brownian particle with drift μ subject to hitting an absorber at a level a > 0 is well-known and given by its density γ(t)=a2πt3e−(a−μt)22t...
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