On the law of the iterated logarithm for Brownian motion on compact manifolds

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英文篇名：On the law of the iterated logarithm for Brownian motion on compact manifolds 作者：Cheng ; Ouyang ; Jennifer ; Pajda-De ; La ; O 英文作者：Cheng Ouyang;Jennifer Pajda-De La O;Department of Mathematics,Statistics and Computer Science,University of Illinois at Chicago; 英文关键词：law of iterated logarithm;;compact manifold;;Brownian motion 中文刊名：JAXG 英文刊名：中国科学:数学(英文版) 机构：Department of Mathematics,Statistics and Computer Science,University of Illinois at Chicago; 出版日期：2019-03-28 11:43 出版单位：Science China(Mathematics) 年：2019 期：v.62 基金：supported by Collaboration Grants for Mathematicians of the Simons Foundation (Grant No. 355480) 语种：英文; 页：JAXG201908005 页数：8 CN：08 ISSN：11-5837/O1 分类号：77-84

摘要

By taking a functional analytic point of view,we consider a family of distributions(continuous linear functionals on smooth functions),denoted by{μt,t>0},associated to the law of the iterated logarithm for Brownian motion on a compact manifold.We give a complete characterization of the collection of limiting distributions of{μt,t>0}.
        By taking a functional analytic point of view,we consider a family of distributions(continuous linear functionals on smooth functions),denoted by{μt,t>0},associated to the law of the iterated logarithm for Brownian motion on a compact manifold.We give a complete characterization of the collection of limiting distributions of{μt,t>0}.

引文

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