数学物理学报 ›› 2020, Vol. 40 ›› Issue (2): 484-491.

• 论文 • 上一篇    下一篇

Brown运动增量拟必然局部Strassen重对数律

李丰兵(),刘永宏*   

  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
  • 收稿日期:2018-11-20 出版日期:2020-04-26 发布日期:2020-05-21
  • 通讯作者: 刘永宏 E-mail:1286391997@qq.com
  • 作者简介:李丰兵, E-mail: 1286391997@qq.com
  • 基金资助:
    国家自然科学基金(11661025);广西教育厅科研基金(YB2014117);广西自然科学基金(2018GXNSFBA281076);广西自然科学基金(2017GXNSFBA198179)

Quasi Sure Local Strassen's Law of the Iterated Logarithm for Increments of a Brownian Motion

Fengbing Li(),Yonghong Liu*   

  1. School of Mathematics and Computing Science, Guilin University of Electronic Technology & Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guangxi Guilin 541004
  • Received:2018-11-20 Online:2020-04-26 Published:2020-05-21
  • Contact: Yonghong Liu E-mail:1286391997@qq.com
  • Supported by:
    the NSFC(11661025);the Science Research Foundation of Guangxi Education Department(YB2014117);the NSF of Guangxi(2018GXNSFBA281076);the NSF of Guangxi(2017GXNSFBA198179)

摘要:

该文建立了Brown运动增量的拟必然局部Strassen重对数律.利用这一结果,得到了Brown运动拟必然泛函连续模.

关键词: Brown运动, 增量, 局部重对数律, (r, p)-容度

Abstract:

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

Key words: Brownian motion, Increments, Local law of the iterated logarithm, (r, p)-Capacity

中图分类号: 

  • O211.04