摘要
利用Brown运动及其增量的大偏差,对二重对数律证明技巧做了适当改进,得到了Brown运动及其增量的局部泛函三重对数律.推广了Gao和Liu文中相应结果,对三重对数律的研究做点探索.
In this paper,using the large deviation for a Brownian motion and its increments,techniques of proving for the double logarithms law is suitable improved,local functional laws of the triple logarithm for a Brownian motion and its increments are obtained.The corre-sponding results in paper of Gao and Liu are generalized,a little exploration for investigations on laws of the triple logarithm are done.
作者
刘永宏
张晴晴
周霞
LIU Yong-hong;ZHANG Qing-qing;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;Center for Applied Mathematics of Guangxi(GUET),Guilin 541002,China)
出处
《数学的实践与认识》
北大核心
2024年第1期182-188,共7页
Mathematics in Practice and Theory
基金
国家自然科学基金(11661025)
广西自然科学基金(2020GXNSFAA159118)
广西科技计划项目(桂科AD18281026)
桂林电子科技大学研究生教育创新计划项目(2020YCXS083)。
关键词
BROWN运动
增量
局部泛函三重对数律
brownian motion
increments
local functional law of the triple logarithm
