Brownian运动连续模的拟必然收敛速率

数学物理学报 ›› 2008, Vol. 28 ›› Issue (6): 1157-1163.

Brownian运动连续模的拟必然收敛速率

刘永宏|李落清

(武汉工业学院数理系武汉 430023|湖北大学数学与计算机科学学院武汉 430062)

收稿日期:2006-09-08 修回日期:2007-12-18 出版日期:2008-12-25 发布日期:2008-12-25
通讯作者: 刘永宏
基金资助:
教育部博士研究基金(20060512001)、国家自然科学基金(10771053)和湖北省自然科学基金(2007ABA139)资助

Quasi Sure Convergence Rate of the Modulus of Continuity for Brownian Motion

Liu Yonghong|Li Luoqing

(Department of Mathematics and Physics, Wuhan Polytechnical Institute, Wuhan 430023|School of Mathematics and Computer Science, Hubei University, Wuhan 430062)

Received:2006-09-08 Revised:2007-12-18 Online:2008-12-25 Published:2008-12-25
Contact: Liu Yonghong

摘要/Abstract

摘要：

在该文中, 作者得到了Brownian运动连续模在C_{r, p} - 容度意义下的泛函极限的收敛速率.

关键词: Brownian运动连续模, C_{r, p} - 容度, C_{r, p} - 容度小偏差与大偏差, 收敛速率

Abstract:

In this paper, the authors obtain the rate of convergence in the functional
limit for modulus of continuity of Brownian motion in terms of the C_{r, p}- capacity.

Key words: Modulus of continuity for Brownian motion, C_{r, p}-capacity, Small deviations and large deviations for C_{r, p}-capacity, Rate of convergence

中图分类号:

60J65

刘永宏|李落清. Brownian运动连续模的拟必然收敛速率[J]. 数学物理学报, 2008, 28(6): 1157-1163.

Liu Yonghong|Li Luoqing. Quasi Sure Convergence Rate of the Modulus of Continuity for Brownian Motion[J]. Acta mathematica scientia,Series A, 2008, 28(6): 1157-1163.