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Brown运动增量的拟必然局部钟泛函重对数律
莫永向,刘永宏,周霞
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

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.作为应用，Brown运动拟必然钟泛函连续模也被得到.

关键词: 运动增量局部钟重对数律 (r,p)-容度

DOI：

分类号:O211.4

基金项目:Supported by National Natural Science Foundation of China (11661025); Science Research Foundation of Guangxi Education Department (YB2014117); Guangxi Natural Science Foundation (2018GXNSFBA281076; 2017GXNSFBA198179) and Guangxi Programme for Promoting Young Teachers's Ability (2018KY0214).

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

MO Yong-xiang^1,2, LIU Yong-hong^1,2, ZHOU Xia^1,2

1.School of Mathematics and Computing Science, Guilin University of Electronic Technology;2.Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guilin 541004, China

Abstract:

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.

Key words: Brownian motion increment local Chung's law of the iterated logarithm (r,p)-capacity