{"title":"FUNCTIONAL MODULUS OF CONTINUITY FOR BROWNIAN MOTION IN HÖLDER NORM","authors":"Qi-cai Wei","doi":"10.1142/S0252959901000218","DOIUrl":null,"url":null,"abstract":"The author establishes a large deviation for k-dimensional Brownian motion B in stronger topology, by which the functional modulus of continuity for B in Holder norm can be obtained.","PeriodicalId":55259,"journal":{"name":"Chinese Annals of Mathematics Series B","volume":"48 1","pages":"223-232"},"PeriodicalIF":0.5000,"publicationDate":"2001-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Chinese Annals of Mathematics Series B","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1142/S0252959901000218","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 3
Abstract
The author establishes a large deviation for k-dimensional Brownian motion B in stronger topology, by which the functional modulus of continuity for B in Holder norm can be obtained.
期刊介绍:
Chinese Annals of Mathematics (CAM) is a comprehensive mathematical journal published bimonthly in English carrying original papers on pure and applied mathematics. It aims at presenting the latest achievements in mathematical research. The journal is published jointly by the Editorial Office of CAM (Fudan University) and Springer. Contributions from mathematicians all over the world are welcome.