期刊 Brown运动增量的拟必然局部钟泛函重对数律  

QUASI SURE LOCAL CHUNG’S FUNCTIONAL LAW OF THE ITERATED LOGARITHM FOR INCREMENTS OF A BROWNIAN MOTION

作  者:莫永向 刘永宏 周霞 

MO Yong-xiang;LIU Yong-hong;ZHOU Xia(School of Mathematics and Computing Science,Guilin University of Electronic Technology,Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation,Guilin 541004,China)

机构地区:[1]桂林电子科技大学数学与计算科学学院,广西高校数据分析与计算重点实验室,广西桂林541004

出  处:《数学杂志》2020年第2期155-164,共10页Journal of Mathematics

QUASI SURE LOCAL CHUNG’S FUNCTIONAL LAW OF THE ITERATED LOGARITHM FOR INCREMENTS OF A BROWNIAN MOTION

基  金:Supported by National Natural Science Foundation of China(11661025);Science Research Foundation of Guangxi Education Department(YB2014117);Guangxi Natural Science Foundation(2018GXNSFBA281076,2017GXNSFBA198179);Guangxi Programme for Promoting Young Teachers’s Ability(2018KY0214).

摘  要:本文获得了Brown运动增量的拟必然局部钟泛函重对数律.应用这一结果,推广了Brown运动拟必然钟泛函连续模.

In this paper,we obtain the quasi sure local Chung’s functional law of the iterated logarithm for increments of a Brownian motion.As an application,a quasi sure Chung’s type functional modulus of continuity for a Brownian motion is also derived.

关 键 词:BROWN运动 增量 局部钟重对数律 (r p)-容度 

Brownian motion increment local Chung’s law of the iterated logarithm (r p)-capacity 

分 类 号:O211.4[理学—概率论与数理统计]

 

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