Acta mathematica scientia,Series A ›› 2008, Vol. 28 ›› Issue (6): 1157-1163.

• Articles • Previous Articles     Next Articles

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

Liu Yonghong|Li Luoqing   

  1. (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

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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 Cr, p- capacity.

Key words: Modulus of continuity for Brownian motion, Cr, p-capacity, Small deviations and large deviations for Cr, p-capacity, Rate of convergence

CLC Number: 

  • 60J65
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