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.
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)
出处
《数学杂志》
2020年第2期155-164,共10页
Journal of Mathematics
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).
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
