Brown运动增量的局部泛函三重对数律  

Local Functional Law of the Triple Logarithm for Increments of a Brownian Motion

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)

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 [2]广西应用数学中心(桂电),广西桂林541002

出　　处：《数学的实践与认识》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)。

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.

关 键 词：BROWN运动 增量 局部泛函三重对数律 

分 类 号：O211.6[理学—概率论与数理统计]